JP2017182506A - Container performance evaluation device and program - Google Patents

Abstract

PROBLEM TO BE SOLVED: To provide a container evaluation performance device and program capable of appropriately evaluating the performance of a container in accordance with a variety of conditions of the container.SOLUTION: The container performance evaluation device includes: a parameter acquisition unit for acquiring an outside air condition parameter for determining the condition of the outside air, a container condition parameter for determining the condition of the container, and a content condition parameter for determining the condition of the content to be accommodated in the container; a calculation unit for performing calculation using the parameters acquired by the parameter acquisition unit and a heat transfer model, on the basis of the boundary condition allowing the flow between the inside and outside of the container; and an evaluation result output unit for outputting the evaluation result related to the container performance, on the basis of the calculation result obtained by the calculation unit.SELECTED DRAWING: Figure 1

Description

  The present invention relates to a container performance evaluation apparatus and a program.

  The type, dimensions, initial temperature and arrangement of the heat insulating container, the outside air temperature around the heat insulating container, the type, weight, initial temperature and arrangement of the contents stored in the heat insulating container, and heat for maintaining the temperature of the contents There is known a design system for an insulated container that inputs data related to the type, weight, and arrangement of a medium, and calculates and outputs data related to the temperature holding performance of contents based on the input data (for example, , See Patent Document 1).

Japanese Patent No. 3835980

  Although the design system of the insulated container in the above-mentioned Patent Document 1 simulates two-dimensional unsteady heat conduction, the boundary condition of the closed system in which there is no fluid flow between the inside and the outside of the container is a model. It has become. For this reason, it is difficult to perform an appropriate simulation corresponding to, for example, a container having a partly open surface. That is, in Patent Document 1, it is difficult to perform a simulation corresponding to various container conditions.

  The present invention has been made in view of such circumstances, and provides a container evaluation performance device and a program capable of performing an appropriate evaluation corresponding to the variety of container conditions in evaluating the performance of the container. With the goal.

  In order to solve the above-described problems, one aspect of the present invention provides an outside air condition parameter that defines an outside air condition, a container condition parameter that defines a container condition, and a content condition that defines a condition of the contents contained in the container. A parameter acquisition unit that acquires parameters, and a parameter acquired by the parameter acquisition unit under a boundary condition that allows flow between the inside and the outside of the container, and a heat transfer model A container performance evaluation apparatus comprising: a calculation unit that performs the above and an evaluation result output unit that outputs an evaluation result related to the performance of the container based on a calculation result by the calculation unit.

  Further, according to one embodiment of the present invention, the computer acquires an outside air condition parameter that defines an outside air condition, a container condition parameter that defines a container condition, and a content condition parameter that defines a condition of the contents contained in the container. A parameter acquisition unit, a calculation unit that performs calculation using the parameters acquired by the parameter acquisition unit and a heat transfer model under boundary conditions that allow flow between the inside and the outside of the container, It is a program for functioning as an evaluation result output part which outputs the evaluation result regarding the performance of the container based on the calculation result by the calculation part.

  As described above, according to the present invention, it is possible to provide a container evaluation performance device and a program that can perform an appropriate evaluation corresponding to a variety of container conditions when evaluating the performance of a container. .

It is a figure which shows the function structural example of the container performance evaluation apparatus in this embodiment. It is a figure which shows an example of the starting screen in this embodiment. It is a figure which shows an example of the container number input screen in this embodiment. It is a figure which shows an example of the external air condition parameter input screen in this embodiment. It is a figure which shows an example of the container condition parameter input screen in this embodiment. It is a figure which shows an example of the foodstuff condition parameter input screen in this embodiment. It is a figure which shows an example of the refrigerant | coolant condition parameter input screen in this embodiment. It is a figure which shows an example of the calculation condition parameter input screen in this embodiment. It is a figure which shows an example of the output data selection screen in this embodiment. It is a figure which shows the example of a display mode of the foodstuff temperature graph in this embodiment. It is a figure which shows the example of a display mode of the temperature change graph in this embodiment. It is a figure which shows the example of a display mode of the refrigerant | coolant residual amount graph in this embodiment. It is a figure which shows the example of a display mode of the temperature distribution time-change image in this embodiment. It is a figure explaining the boundary conditions of a closed system. It is a figure explaining the boundary condition of the open system in this embodiment. It is a figure explaining the calculation which the calculation part in this embodiment performs. It is a figure which shows the example of the parameter contained in the external air condition parameter in this embodiment. It is a figure which shows the example of the parameter contained in the container condition parameter in this embodiment. It is a figure which shows the example of the parameter contained in the foodstuff condition parameter in this embodiment. It is a figure which shows the example of the parameter contained in the refrigerant | coolant condition parameter in this embodiment. It is a figure which shows the example of the parameter contained in the calculation condition parameter in this embodiment. It is a flowchart which shows the example of a process sequence which the container performance evaluation apparatus in this embodiment performs.

Hereinafter, an embodiment of the present invention will be described with reference to the drawings.
FIG. 1 shows a functional configuration example of a container performance evaluation apparatus 100 in the present embodiment. The container performance evaluation apparatus 100 according to the present embodiment is an apparatus that evaluates the performance of a heat insulating container formed by, for example, foamed polystyrene used for keeping the contents warm or cold.

The container performance evaluation apparatus 100 in FIG. 1 includes a control unit 101, a storage unit 102, an input device unit 103, and an output device unit 104.
The control part 101 performs the process regarding the container performance evaluation of this embodiment. The control unit 101 includes a parameter acquisition unit 111, a calculation unit 112, and an evaluation result output unit 113.
The parameter acquisition unit 111 acquires parameters (use parameters) used for the calculation executed by the calculation unit 112. The parameter acquisition unit 111 can input parameters to the parameter database storage unit 121 and the usage parameter storage unit 122 in accordance with a parameter input operation performed by the user on the input device unit 103. The parameter acquisition unit 111 can acquire parameters from the parameter database stored in the parameter database storage unit 121.
The calculation unit 112 performs calculation using the parameters acquired by the parameter acquisition unit 111 and the heat transfer model under a boundary condition that allows the flow between the inside and the outside of the container.
The evaluation result output unit 113 outputs the evaluation result regarding the performance of the container using the calculation result by the calculation unit 112. The calculation result by the calculation unit 112 is stored in the calculation result storage unit 123 of the storage unit 102.

The storage unit 102 stores information used by the control unit 101. The storage unit 102 shown in the figure includes a parameter database storage unit 121, a usage parameter storage unit 122, and a calculation result storage unit 123.
The parameter database storage unit 121 stores a parameter database. The parameter database stores preset parameters and user preset parameters in the form of a database. The preset parameter is a known parameter or a parameter for which a predetermined value is determined in advance among parameters used by the arithmetic unit to execute the simulation. The user set parameter is a parameter saved (registered) by the user among the parameters used by the calculation unit to execute the simulation.
The usage parameter storage unit 122 is a parameter acquired by the parameter acquisition unit 111 and stores parameters used when the calculation unit 112 performs a calculation as a simulation.
The calculation result storage unit 123 stores a calculation result as a simulation executed by the calculation unit 112.

  The input device unit 103 includes an input device that is operated by the user. Examples of the input device included in the input device unit 103 include a mouse, a keyboard, a trackpad, and a touch panel.

  The output device unit 104 includes an output device that outputs information to the user. Examples of the output device included in the output device unit 104 include a display unit that displays an image and an audio output unit that outputs sound.

  The container performance evaluation apparatus 100 according to the present embodiment is an example of a personal computer in which a container performance evaluation application corresponding to the container performance evaluation function is installed. The function of the control unit 101 in FIG. 5 is realized by a CPU (Central Processing Unit) provided in the container performance evaluation apparatus 100 executing a container performance evaluation application program. The container performance evaluation apparatus 100 may be configured as a dedicated apparatus, for example.

With reference to FIGS. 2-13, the usage example of the container performance evaluation apparatus 100 of this embodiment is demonstrated.
When the user intends to perform container performance evaluation, the user activates the container performance evaluation application through an operation on the input device unit 103. In response to the activation of the container performance evaluation application, for example, an activation screen shown in FIG. 2 is displayed on the display unit of the output device unit 104.
In the startup screen shown in the figure, a button for selecting either “simple mode” or “detailed mode” is arranged as a container performance evaluation mode. “Detailed mode” is a mode in which the container performance is simulated for a plurality of containers, and “Simple mode” is a simplified mode in which the container performance is simulated for a single container. .

In addition, in the startup screen of the figure, a “master” button and a “start” button are arranged.
When an operation on the “master” button is performed, the display shifts to a display of a simulation history list screen showing a list of simulations executed so far. By operating the simulation history list screen, it is possible to recalculate, for example, change some parameters for a simulation executed in the past, or to quote conditions (parameters) used for this simulation. it can.
On the other hand, when the “Start” button is operated without performing the operation on the “Master” button, the screen shifts to a parameter input screen for inputting parameters used for the current simulation. In this way, when transitioning to the parameter input screen in accordance with the operation of the “start” button, the user inputs all operation input parameters without quoting the parameters from the past simulation execution results.

FIG. 3 shows an example of a container number input screen on which an operation for inputting a parameter as the number of containers is performed as the parameter input screen. The container number input screen is displayed when “detailed mode” is selected on the startup screen of FIG. 2.
The user performs an operation on the “OK” button after performing an operation of inputting a numerical value corresponding to the number of containers to be simulated into an input box for inputting the number of containers. By such an operation, a parameter as the number of containers is input.

FIG. 4 shows an example of a parameter input screen on which an operation for inputting parameters common to the “simple mode” and the “detail mode” is performed.
In the parameter input screen shown in the figure, there are five tabs: an “outside air” tab, a “container” tab, a “foodstuff” tab, a “refrigerant” tab, and a “calculation” tab.

The “outside air” tab is a tab corresponding to the outside air condition parameter input screen. The outside air condition parameter input screen is a screen on which an operation for inputting outside air condition parameters is performed. The outside air condition parameter is a parameter that defines a condition related to outside air. When an operation on the “outside air” tab is performed, an outside air condition parameter input screen is displayed as a parameter input screen.
The “container” tab is a tab corresponding to the container condition parameter input screen. The container condition parameter input screen is a screen on which an operation for inputting container condition parameters is performed. The container condition parameter is a parameter that defines a condition for one container. When an operation on the “container” tab is performed, a container condition parameter input screen is displayed as a parameter input screen.
The “food” tab is a tab corresponding to the food condition parameter input screen. The ingredient condition parameter input screen is a screen on which an operation for inputting the ingredient condition parameter is performed. The food material condition parameter is a parameter that defines a condition relating to a food material (an example of a temperature holding object) that is to be kept cold (a temperature holding object) as the contents contained in the container. In addition, although foodstuff is made into cold preservation object in this embodiment, the content used as cold insulation object may be other than foodstuff. When an operation is performed on the “food” tab, a food material condition parameter input screen is displayed as a parameter input screen.
The “refrigerant” tab is a tab corresponding to the refrigerant condition parameter input screen. The refrigerant condition parameter input screen is a screen on which an operation for inputting a refrigerant condition parameter is performed. The refrigerant condition parameter is a parameter that defines a condition relating to a refrigerant (an example of a temperature holding medium) that is a substance having an action of keeping a cold holding object (suppressing a temperature change of the temperature holding object) as contents contained in the container. . Examples of the refrigerant include solid carbon dioxide, ice, and a cryogen, and various other cryogens. When an operation is performed on the “refrigerant” tab, a refrigerant condition parameter input screen is displayed as a parameter input screen.
The “Calculation” tab is a tab corresponding to the calculation condition parameter input screen. The calculation condition parameter input screen is a screen on which an operation for inputting a calculation condition parameter is performed. The calculation condition parameter is a parameter that defines a calculation condition for the simulation. When an operation is performed on the “Calculation” tab, a calculation condition parameter input screen is displayed as a parameter input screen.

The parameter input screen shown in the figure shows a state in which the outside air condition parameter input screen is displayed in response to the operation of the “outside air” tab.
On the left side of the outside air condition parameter input screen, a time corresponding outside air temperature input area AR1 for inputting outside air temperature according to the passage of time is arranged. Further, on the right side of the outside air condition parameter input screen, an air characteristic input area AR2 in which items for inputting parameters relating to air characteristics including items such as air temperature conductivity is arranged. The user performs an operation of inputting values as parameters for these areas. It should be noted that preset parameters or user preset parameters stored in the parameter database storage unit 121 can be called and input for all or a part of parameters provided with input items in the air characteristic input area AR2.

FIG. 5 shows a state where the container condition parameter input screen is displayed in response to the operation of the “container” tab on the parameter input screen.
When the “detail mode” is set on the container condition parameter input screen, a number of pages corresponding to the number of containers input by the operation on the container number input screen (FIG. 3) are prepared. In the drawing, “1” and a number are displayed corresponding to “container No.”, which indicates a container condition parameter input screen for the first container. When the set number of containers is plural, for example, an operation for the number corresponding to “container No.” can be switched to the display of the container condition parameter input screen for the other second and subsequent containers.
In the container condition parameter input screen shown in the figure, the “classification” of the container can be selected (classification can be searched). In addition, by inputting the “container name” and operating the “registration” button, the parameter set input on the container condition parameter input screen is stored in the parameter database storage unit 121 as a preset parameter for the container. I can leave.
In addition, in the container condition parameter input screen of the same figure, the numbers of food and refrigerant are input as contents.
In the container condition parameter input screen, a container characteristic parameter input area AR11 is arranged. The container characteristic parameter input area AR11 is an area for inputting container characteristic parameters including items for defining the dimensions of the container ("horizontal (X axis)", "height (Z axis)") in two dimensions. It is.
In the container condition parameter input screen, a container opening setting area AR12 is arranged. The container opening setting area AR12 determines whether or not to set an opening (that is, formation of an opening) on the wall surface (side wall, top surface, and bottom surface) of the container. This is the area where the operation to specify the size is performed. The operation for the container opening setting area AR12 is effective when the “detail mode” is set, and cannot be performed in the “simple mode”. In the container condition parameter input screen in the “simple mode”, the container opening setting area AR12 is not displayed, or even if it is displayed, the operation cannot be performed by displaying, for example, grayout.
It should be noted that the preset parameters or user preset parameters stored in the parameter database storage unit 121 are called and input for all or a part of the parameters for which input items are provided in the container characteristic parameter input area AR11 and the container opening setting area AR12. You can also

FIG. 6 shows a state where the food condition parameter input screen is displayed in response to the operation of the “food” tab on the parameter input screen.
In the food material condition parameter input screen, pages corresponding to the number of food materials (FIG. 5) input on the container condition parameter input screen are prepared corresponding to one container. In the same figure, “Food No.” is shown. In the present embodiment, one or more containers are set as simulation targets, and foods contained in each container are set. “Food No.” indicates a serial number assigned to all the ingredients set in this way. In the same figure, the number “1” is displayed corresponding to “Food No.”, which indicates that it is an ingredient condition parameter input screen for the first ingredient in all ingredients. Yes. For example, the operation for the number corresponding to “Food No.” can be switched to the display of the food condition parameter input screen for the second and subsequent foods. Further, “container A” is displayed corresponding to “container”, which indicates that the food is contained in container A.
In the food condition parameter input screen shown in the figure, the “food” of the container can be selected (classification can be searched). Also, the parameter set input on the ingredient condition parameter input screen is stored in the parameter database storage unit 121 as a preset parameter for the ingredient by operating the “registration” button after inputting the “food ingredient name”. I can leave.
In addition, in the ingredient condition parameter input screen, an ingredient characteristic parameter input area AR21 is arranged. The food material characteristic parameter input area AR21 is an area in which operations for inputting food material characteristics such as initial temperature, temperature conductivity, thermal conductivity, specific heat, density and the like of the food are performed.
In addition, on the ingredient condition parameter input screen, an ingredient shape parameter input area AR22 in which an operation for defining the shape of the ingredient as a parameter is performed is arranged.
It should be noted that preset parameters or user preset parameters stored in the parameter database storage unit 121 can be called and input for all or a part of the parameters provided with the input items in the food material characteristic parameter input area AR21. The same applies to the food material shape parameter input area AR22.
In addition, on the food condition parameter input screen, an input box for performing an operation for designating an installation position of the food in the container is arranged. Here, the position of the foodstuff in the two-dimensional area | region by a horizontal direction and a height direction is prescribed | regulated as a parameter.
After the installation position of the ingredients has been entered, if the operation for the “Confirm layout” button placed on the ingredient condition parameter input screen is performed, the entered installation position will be reflected and the ingredients will be placed in the container. An image of the installed state is displayed. By viewing the displayed image, the user can confirm whether the installation position of the food in the container is as expected.

FIG. 7 shows a state where the refrigerant condition parameter input screen is displayed in response to the operation of the “refrigerant” tab on the parameter input screen.
In the refrigerant condition parameter input screen, pages corresponding to the number of refrigerants (FIG. 5) input on the container condition parameter input screen are prepared corresponding to one container. In the figure, “refrigerant No.” is shown. In the present embodiment, one or more containers are set as simulation targets, and the refrigerant contained in each container is set. “Refrigerant No.” indicates a serial number assigned to all the refrigerants set in this way. In the figure, the number “1” corresponding to “refrigerant No.” is displayed, which indicates that the refrigerant condition parameter input screen for the first refrigerant in all the ingredients is displayed. Yes. For example, the operation for the number corresponding to “refrigerant No.” can be switched to the display of the refrigerant condition parameter input screen for the second and subsequent refrigerants. Further, “container A” is displayed corresponding to “container”, which indicates that the refrigerant is contained in container A.
In the refrigerant condition parameter input screen shown in the figure, the “refrigerant” of the container can be selected (classification can be searched). Also, the parameter set input on the refrigerant condition parameter input screen is stored in the parameter database storage unit 121 as a preset parameter for the refrigerant by operating the “Register” button after inputting the “refrigerant name”. I can leave.
In the refrigerant condition parameter input screen, a refrigerant characteristic parameter input area AR31 is arranged. The refrigerant characteristic parameter input area AR31 is an area where operations for inputting refrigerant characteristics such as the initial temperature, weight, temperature conductivity, thermal conductivity, specific heat, density, latent heat of fusion, and melting temperature of the refrigerant are performed.
In the refrigerant condition parameter input screen, a refrigerant shape parameter input area AR32 in which an operation for defining the shape of the refrigerant as a parameter is performed.
It should be noted that preset parameters or user preset parameters stored in the parameter database storage unit 121 can be called and input for all or a part of the parameters for which input items are provided in the refrigerant characteristic parameter input area AR31. This also applies to the refrigerant shape parameter input area AR32.
In the refrigerant condition parameter input screen, an input box is provided in which an operation for defining in two dimensions in the horizontal direction and the height direction is performed using the refrigerant installation position in the container as a parameter. After entering the refrigerant installation position, when the operation for the “Confirm layout” button on the refrigerant condition parameter input screen is performed, the refrigerant is installed in the container so that the input installation position is reflected. An image in the selected state is displayed. The user can confirm whether the installation position of the refrigerant in the container is as expected by looking at the displayed image.

FIG. 8 shows a state where the calculation condition parameter input screen is displayed in response to the operation of the “calculation” tab on the parameter input screen.
On the calculation condition parameter input screen, an operation for inputting the name of the current simulation as an “analysis name” can be performed.
In the calculation condition parameter input screen, an operation for inputting a time step width (calculation step), the number of calculations, a calculation actual time, and a frequency of temperature distribution output can be performed as calculation conditions.
In addition, on the calculation parameter input screen, “Handling of natural convection” (natural convection heat transfer model) can be selected from among “Do not consider”, “Use convective thermal conductivity”, or “Solve flow field”. You can choose.

Further, on the calculation condition parameter input screen, a “data save” button, a “placement diagram display” button, a “mesh division” button, and an “analysis execution” button are arranged.
When the “save data” button is operated, the set of parameters input by the operation on the parameter input screen so far is stored in association with the input “analysis name”.
When the “display layout diagram” button is operated, a layout map corresponding to the setting of the number of containers and contents, the installation position, etc. is displayed.
When the “mesh division” button is operated, a mesh setting screen for changing the mesh division setting for the simulation target region in accordance with the user's operation is displayed.
When the “analysis execution” button is operated, a simulation (calculation) is performed as a container evaluation using the parameters input by the operations on the parameter input screens so far.

When the simulation is finished, an output data selection screen is displayed. The output data selection screen is a screen on which the user performs an operation to select which is output as an evaluation result (output data) by simulation.
FIG. 9 shows an example of the output data selection screen. In the output data selection screen of FIG. 6, a “food temperature graph” button, a “temperature change graph” button, a “refrigerant remaining amount graph” button, a “temperature distribution change with time” button, and an “end” button are arranged.
When the “food temperature graph” button is operated by the user, a food temperature graph is displayed. FIG. 10 shows an example of the displayed ingredient temperature graph. The food temperature graph of the figure shows the change in temperature over time for the food with the name “ice” set.
Further, when the “temperature change graph” button is operated by the user, a temperature change graph is displayed. FIG. 11 shows an example of the displayed temperature change graph. The temperature change graph of the figure shows the change in temperature according to the passage of time for the refrigerant with the name “cold storage material A” contained in the container, along with the outside air temperature.
When the “refrigerant remaining amount graph” button is operated by the user, a refrigerant remaining amount graph is displayed. FIG. 12 shows an example of the refrigerant remaining amount graph. The refrigerant remaining amount graph of the figure shows the change in the remaining amount of the refrigerant as time elapses with respect to the refrigerant having the name “cold storage material A” contained in the container. In the case of the refrigerant remaining amount graph shown in the figure, the remaining amount of the refrigerant is expressed as the mass of the refrigerant.
Further, when the “temperature distribution change with time” button is operated, a temperature distribution change image showing the change of the temperature distribution with time in the container and the inside of the container is displayed. FIG. 13 shows an example of a temperature distribution temporal change image. The temperature distribution temporal change image in the figure shows the temperature distribution at a certain time in the simulation time that is the object of calculation. In actual display, it is displayed as a moving image whose temperature distribution changes with time or a time-lapse image.

Subsequently, calculation performed by the container performance evaluation apparatus 100 of the present embodiment for evaluation (simulation) of container performance will be described.
First, setting of boundary conditions in the present embodiment will be described. One method for setting boundary conditions in the simulation of container performance is to use a closed system in which there is no fluid flow at the omnidirectional boundary corresponding to the container.

FIG. 14 shows the boundary condition of the closed system as described above. In the figure, an example in which the container 200A is a rectangular parallelepiped is shown. In the figure, a two-dimensional space in the vertical direction and the horizontal direction is shown corresponding to the container 200A.
In the figure, x is a coordinate in the horizontal direction, y is a coordinate in the vertical direction, u is a flow velocity in the horizontal direction, and v is a flow velocity in the vertical direction. Further, ψ represents a flow function, and T represents temperature.
Thus, under the boundary conditions of the closed system, the flow function ψ is “0” (ψ = 0) and the temperature T is constant (T == T) in all directions of the side surface, the upper surface, and the lower surface of the container 200A. const.).

  With the closed boundary conditions as described above, for example, for a container that is sealed with a lid or the like, the setting of the boundary conditions and the actual state are approximated, so that an appropriate simulation result can be expected. However, for example, there is a container having a part of the surface of the container that is not opened because it is not covered, or a container that does not have a cover such as a tray. For such a container, it is difficult to obtain an appropriate simulation result in the closed system as described above.

Therefore, in the present embodiment, a fluid flow at the boundary between the space corresponding to the container and the outside world is allowed, and an open system boundary condition is set up to the outside world including the container.
FIG. 15 shows the boundary state of the open system as described above. The boundary condition of the open system in the present embodiment can be simulated in correspondence with both a container having an opening without a lid and a sealed container. A container 200A and a container 200B having an opening on the upper surface are shown. In the following description, the container 200A and the container 200B are referred to as the container 200 unless otherwise distinguished.

  In the present embodiment, in the two-dimensional space corresponding to the container 200, the boundary condition is set so as to allow the flow of fluid between the boundary and the outside corresponding to the left and right side surfaces. In the present embodiment, the Neumann condition is set for the flow function ψ in setting such a boundary condition. In this case, the flow function ψ and the temperature T are determined so as to have the relationship of the following formula 1.

  In the present embodiment, the Neumann condition is set for the flow function ψ so that the boundary condition corresponding to the upper surface in the two-dimensional space corresponding to the container 200 is a boundary condition that allows the flow of fluid between the outside and the outside. In this case, the flow function ψ and the temperature T are determined so as to have the relationship of the following formula 2.

In this embodiment, it is also possible to set a Neumann condition in the flow function ψ so as to be a boundary condition that allows fluid flow on the lower surface, and to set boundary conditions that allow fluid flow in all directions. . However, in this case, the numerical solution of the partial differential equation of the heat transfer model may not stably converge. Therefore, in the present embodiment, the boundary condition corresponding to the lower surface is set to the condition that there is no fluid flow (that is, in this case, the ground is assumed) as in the case of FIG. Thereby, in the present embodiment, calculation stability is obtained.
The orientation that defines the boundary condition that there is no fluid flow may be other than the orientation corresponding to the lower surface. Further, the orientation that defines the boundary condition that there is no fluid flow may be two or more. That is, a boundary condition that there is no fluid flow may be defined for some of the azimuths corresponding to the container.

Parameters input by an operation on the parameter input screen are stored in the usage parameter storage unit 122 by the parameter acquisition unit 111. The calculation unit 112 performs calculation using the parameters (usage parameters) stored in the usage parameter storage unit 122.
The calculation performed by the calculation unit 112 will be described with reference to FIG.
In the figure, a usage parameter storage unit 122 is shown together with the calculation unit 112. As shown in the figure, the use parameter storage unit 122 includes, as parameters (use parameters) used by the calculation unit 112 for calculation, an outside air condition parameter IN1, a container condition parameter IN2, a food material condition parameter IN3, a refrigerant condition parameter IN4, And the calculation condition parameter IN5 is stored.

The outside air condition parameter IN1 is a parameter that is input by an operation on the outside air condition parameter input screen (FIG. 4) and stored in the use parameter storage unit 122. FIG. 17 shows an example of parameters included in the outside air condition parameter IN1. Among the parameters shown in the figure, the Prandtl number Pr _air of _air is expressed by the following (Equation 3). In (Equation 3), μ _air is the viscosity of air.

The container condition parameter IN2 is a parameter that is input by an operation on the container condition parameter input screen (FIG. 5) and stored in the use parameter storage unit 122. FIG. 18 shows an example of parameters included in the container condition parameter IN2.
The food material condition parameter IN3 is a parameter input by an operation on the food material condition parameter input screen (FIG. 6) and stored in the use parameter storage unit 122. FIG. 19 shows an example of parameters included in the food material condition parameter IN3.
The refrigerant condition parameter IN4 is a parameter that is input by an operation on the refrigerant condition parameter input screen (FIG. 7) and stored in the use parameter storage unit 122. FIG. 20 shows an example of parameters included in the refrigerant condition parameter IN4.
The calculation condition parameter IN5 is a parameter input by an operation on the calculation condition parameter input screen (FIG. 8) and stored in the use parameter storage unit 122. FIG. 21 shows an example of parameters included in the calculation condition parameter IN5.

FIG. 16 shows a model used by the calculation unit 112 for the calculation. As shown in the figure, the calculation unit 112 uses a conduction heat transfer model MD1, a natural convection heat transfer model MD2, and a refrigerant model MD3. That is, in the calculation, the calculation unit 112 of the present embodiment calculates heat transfer (including flow distribution) by using two heat transfer models of the conduction heat transfer model MD1 and the natural convection heat transfer model MD2. . The calculation unit 112 also calculates the temperature distribution from the heat transfer calculation result. In addition, the calculation unit 112 also performs calculation related to the change of the refrigerant by using the refrigerant model.
In the calculation using the conduction heat transfer model MD1, the calculation unit 112 uses predetermined parameters in the outdoor air condition parameter IN1, the container condition parameter IN2, the food material condition parameter IN3, and the refrigerant condition parameter IN4 so as to be substituted into the equation.
In addition, the calculation unit 112 uses predetermined parameters in the outside air condition parameter IN1 in the calculation using the natural convection heat transfer model MD2.
Further, the calculation unit 112 uses the refrigerant condition parameter IN4 in the calculation using the refrigerant model MD3.
As the calculation condition parameter IN5, a predetermined parameter is appropriately used in the calculation using each of the conduction heat transfer model MD1, the natural convection heat transfer model MD2, and the refrigerant model MD3.
The calculation unit 112 performs each calculation using the conduction heat transfer model MD1, the natural convection heat transfer model MD2, and the refrigerant model MD3 for each mesh set in the simulation target region. The user can set the mesh. As described above, the mesh division button is arranged on the calculation condition parameter input screen of FIG. When the user performs an operation on the mesh division button, a mesh setting screen is displayed. The user can change the size of the mesh in the simulation target region by performing an operation on the displayed mesh setting screen, and can make settings for mesh division.

The conduction heat transfer model MD1 of this embodiment corresponds to a two-dimensional simulation in an unsteady state, and expresses heat conduction using a basic equation according to Equation 4 below. In Equation 4, _{c p} is the specific heat [J / (kg · K) ], ρ is density [kg ^{/ m} 3], T is the absolute temperature [K], t is the time [s], u, v, respectively, X (horizontal) and y (vertical) components (flow velocity) [m / s] of the flow function ψ, κ is the thermal conductivity [W / (m · K)], and q is the heat generation term [W / m ³ ]. is there.

  Further, the flow function ψ is defined as the following Expression 5.

In addition, the natural convection heat transfer model MD2 of the present embodiment expresses heat conduction by natural convection by Equation 6 as the following vortex movement equation. In Equation 6, ζ is the vorticity [s ⁻¹ ] calculated from the flow function ψ by Equation 7 below. Further, g is a gravitational acceleration [m / s2], β is a body expansion coefficient [K ⁻¹ ], and θ is an inclination angle [rad] from the horizontal plane of the system.

In addition, the natural convection heat transfer model MD2 of the present embodiment is expressed as heat conductivity by natural convection by the following equation 8 so that the heat transfer by natural convection can be handled by the conduction heat transfer model MD1. . In Equation 8, _{h m} is the thermal conductivity of the natural convection heat transfer [W / (m · K) ], λ is the thermal conductivity of air [W / (m · K) ], Pr is Prandtl number [-], ν is the kinematic viscosity coefficient of air [m ² / s], T _w and T _∞ are the temperature of the wall and the fluid far from the wall [K], and x is the distance [m] from the bottom of the sealed space to the point of interest. .

As described above, in the present embodiment, as the natural convection heat transfer model MD2, a model that uses the differential equation according to Equation 6 and a model that uses Equation 8 are prepared.
The calculation part 112 of this embodiment performs calculation (simulation) about heat transfer using the conduction heat transfer model MD1 and the natural convection heat transfer model MD2. At this time, the calculation unit 112 uses the equation used as the natural convection heat transfer model MD2 in accordance with the item “handling natural convection” selected by the operation on the calculation condition parameter input screen (FIG. 8) as follows. To change.

That is, when the item “solve the flow field” is selected for “natural convection handling” by an operation on the calculation condition parameter input screen, the calculation unit 112 calculates the difference formula according to formula 6 as the natural convection heat transfer model MD2. Is used. That is, the calculation unit 112 in this case calculates heat transfer using the difference equation according to Equation 4 as the conduction heat transfer model MD1 and using the difference equation according to Equation 6 as the natural convection heat transfer model MD2.
When the item “Use convective heat conductivity” is selected for “Handling natural convection” by the operation on the calculation condition parameter input screen, the calculation unit 112 sets Equation 8 as the natural convection heat transfer model MD2. use. That is, the calculation unit 112 in this case calculates heat transfer using the differential equation according to Equation 4 as the conduction heat transfer model MD1 and using Equation 8 as the natural convection heat transfer model MD2.
When the item “not considered” is selected for “natural convection treatment” by an operation on the calculation condition parameter input screen, the calculation unit 112 calculates the difference equation according to equation 6 as the natural convection heat transfer model MD2. Neither of Equation 8 is used. In other words, the calculation unit 112 in this case uses the difference equation according to Equation 4 as the conduction heat transfer model MD1, but calculates the heat transfer without using the natural convection heat transfer model MD2.

The user may select the item “Handling Natural Convection” as follows. First, by using the differential equation according to Equation 6 as the natural convection heat transfer model MD2, it is possible to perform a simulation that expresses the phenomenon most realistically. Therefore, the user may select the item “solve the flow field” when he / she wants to emphasize the accuracy of the simulation.
However, the calculation using the differential equation according to Equation 6 as the natural convection heat transfer model MD2 is more computationally intensive than the case where Equation 8 is used because the processing for solving the partial differential equation increases. In this case, for example, in a situation where the container performance evaluation apparatus 100 is a computer whose calculation processing speed is not so fast, the time required for calculation may become long. Therefore, the user selects the “Use convective thermal conductivity” item when he wants to reduce the calculation load and reduce the calculation time, for example, while ensuring a certain level of simulation accuracy. That's fine.
Further, in the calculation when the item “not considered” is selected as the “handling of natural convection”, the conduction heat transfer model MD1 is used as described above, but the natural convection heat transfer model MD2 is not used. , "Use convective thermal conductivity" further reduces the calculation load. Therefore, when the user wants to give the highest priority to the reduction of the calculation load, the user may select the item “not considered”.

Next, the refrigerant model MD3 in the present embodiment defines the following assumptions 1 to 3 regarding the phase change of the refrigerant.
Assumption 1: When the refrigerant is solid carbon dioxide, the gas volume is increased by the gas of carbon dioxide generated by sublimation of solid carbon dioxide. It is assumed that the volume does not change because the gas escapes from the generated gap. However, the amount of heat transferred at that time is ignored because it is very small.
Assumption 2: In a refrigerant in which a phase change that changes from a solid to a liquid such as ice occurs, the volume change is ignored as being small.
Assumption 3: The mass flow in the system is not considered. Therefore, the initial position does not move even when the state of the refrigerant or contents changes. Specifically, even if solid carbon dioxide or ice changes to gas or liquid, it remains at the initial position.

Under the assumptions 1 to 3, Equation 9 expressing the state change and heat transfer of the refrigerant is used as the refrigerant model MD3 of the present embodiment as follows. In Formula 9, L the latent heat [J / _kg] of the _refrigerant, m x, _{m y,} respectively, the melting speed and sublimation rate of the refrigerant in the refrigerant _interface, n x, _{n y} is the unit vector normal to the refrigerant interface [ −], Λ _s , λ _g are the solid phase and gas phase thermal conductivity [W / (m · K)], and T _s , T _g are the solid phase temperature and the gas phase temperature near the refrigerant interface, respectively. [K]. Expression 9 expresses the influence on the temperature of the refrigerant and the disappearance of the refrigerant.

Next, an example of a processing procedure executed by the container performance evaluation apparatus 100 according to this embodiment will be described with reference to the flowchart of FIG.
Step S101: When the container performance evaluation application is started as described above, the output screen (FIG. 2) is displayed on the output device unit 104. On the start-up screen, an operation for selecting either “simple mode” or “detail mode” is possible. Therefore, the user performs an operation of selecting either “simple mode” or “detail mode” on the startup screen. The parameter acquisition unit 111 causes the usage parameter storage unit 122 to store a mode parameter indicating whether the mode selected by the user is the “simple mode” or the “detailed mode” in accordance with the operation.
Step S102: The parameter acquisition unit 111 determines whether the mode indicated by the mode parameter is “simple mode” or “detailed mode”.

Step S103: When the mode determined in step S102 is the “simple mode”, as described above, simple parameter input is performed for one container and the container opening setting is invalid. The parameter acquisition unit 111 acquires parameters input by an operation on the parameter input screen (FIGS. 4 to 8) under such a “simple mode” setting, and stores the acquired parameters in the use parameter storage unit 122. Remember me.
Step S104: For example, when the “Analysis execution” button on the calculation condition parameter input screen (FIG. 8) is operated, the parameter acquisition unit 111 determines whether there is no error in the input of the parameters so far. For example, if there is an error relating to parameter input such as a parameter not yet input or a numerical value outside the range, the parameter acquisition unit 111 returns the process to step S103. At this time, the parameter acquisition unit 111 prompts correct input of parameters by displaying an error message without starting the simulation. On the other hand, if there is no error in parameter input, the process proceeds to step S112 described later.

Step S105: When the mode determined in step S102 is the “detail mode”, as described above, the container number input screen (FIG. 3) on which an operation for inputting the number of containers to be simulated is performed is displayed. The parameter acquisition unit 111 acquires the container number parameter indicating the input container number N in response to the operation of inputting the container number on the container number input screen, and uses the acquired container number parameter. It is stored in the parameter storage unit 122.
Step S106: Here, it is necessary that an integer of 1 or more is input as the number of containers. When the “enter” button on the container number input screen is operated, if the input container number N is not 1 or more, the parameter acquisition unit 111 returns the process to step S105. At this time, the parameter acquisition unit 111 displays, for example, an error message indicating that the correct number of containers has not been input, and prompts the user to input the number of containers corresponding to step S105. If the number of containers is correctly input, the parameter acquisition unit 111 causes the use parameter storage unit 122 to store the container number parameter indicating the input number of containers N as described above.

Step S107: When the input of the number of containers is completed, as described above, the user operates the parameter input screen (FIGS. 4 to 8) to set each parameter of the outside air condition, the container condition, the food material condition, the refrigerant condition, and the calculation condition. Input. The parameter acquisition unit 111 acquires a parameter input by an operation, and stores the acquired parameter in the usage parameter storage unit 122.
Steps S108 to S110: When inputting the container condition parameters under step S107, a container condition input loop process (steps S108 to S110) is performed. That is, the user performs an operation of inputting a container condition parameter for each of N containers corresponding to the input container number N. The parameter acquisition unit 111 acquires the input container condition parameter in response to an operation of inputting the container condition parameter for one container, and stores it in the use parameter storage unit 122 (S109).

  Step S111: The parameter acquisition unit 111 determines whether there is no error in the input of parameters so far, for example, in response to the operation of the “Analysis execution” button on the calculation condition parameter input screen (FIG. 8). . If there is an error regarding parameter input, the parameter acquisition unit 111 returns the process to step S107. At this time, the parameter acquisition unit 111 prompts correct input of parameters by displaying an error message without starting the simulation. On the other hand, if there is no error in parameter input, the process proceeds to step S112 described later.

Steps S112 to S115: The calculation unit 112 executes calculation loop processing (steps S112 to S115) according to the time step width (calculation step) and the number of calculations input as the calculation condition parameter IN5.
Specifically, the calculation unit 112 performs heat transfer calculation (S113) for each calculation step using, for example, the equations as the conduction heat transfer model MD1, the natural convection heat transfer model MD2, and the refrigerant model MD3. Further, the temperature distribution is calculated (S114) using the calculation result of the heat transfer.
In each process of heat transfer calculation and temperature distribution calculation, the calculation unit 112 stores an outside air condition parameter IN1, a container condition parameter IN2, a food condition parameter IN3, a refrigerant condition parameter IN4, and calculation conditions stored in the use parameter storage unit 122. The calculation is performed using the parameters as appropriate from among the parameters IN5.
The calculation unit 112 causes the calculation result storage unit 123 to store the calculation results of the heat transfer and the temperature distribution obtained in steps S113 and S114 in the time-corresponding loop process.

  Step S116: When the calculation loop process in steps S112 to S115 ends, the evaluation result output unit 113 displays an output data selection screen (FIG. 9). On the output data selection screen, the user selects any one of “Food material temperature graph”, “Temperature change graph”, “Refrigerant remaining amount graph”, and “Temperature distribution change with time” as output data for container performance evaluation. Perform the operation. The evaluation result output unit 113 accepts an operation for selecting such output data.

Step S117: The evaluation result output unit 113 indicates that the output data selected by the operation performed on the output data selection screen is “Food material temperature graph”, “Temperature change graph”, “Refrigerant remaining amount graph”, “Temperature”. It is determined whether it is “distribution change over time”.
Step S118: When the selected output data is “Food material temperature graph”, the evaluation result output unit 113 generates a food material temperature graph (FIG. 10) using the calculation result stored in the calculation result storage unit 123. Then, it is output (displayed) on the display unit of the output device unit 104.
Step S119: When the selected output data is “temperature change graph”, the evaluation result output unit 113 generates a temperature change graph (FIG. 11) using the calculation result stored in the calculation result storage unit 123. Then, it is output (displayed) on the display unit of the output device unit 104.
Step S120: When the selected output data is the “refrigerant remaining amount graph”, the evaluation result output unit 113 uses the calculation result stored in the calculation result storage unit 123 to display the refrigerant remaining amount graph (FIG. 12). Are generated and output (displayed) on the display unit of the output device unit 104.
Step S121: When the selected output data is “temperature distribution change with time”, the evaluation result output unit 113 uses the calculation result stored in the calculation result storage unit 123 to display the temperature distribution change image (FIG. 13). ) And output (display) on the display unit of the output device unit 104.

Step S122: The evaluation result output unit 113 determines whether or not the “end” button on the output data selection screen has been operated. If it is determined that an operation on the “end” button is not performed, the evaluation result output unit 113 returns the process to step S117. In this case, the user returns the display to, for example, the output data selection screen from the state in which any one of the food temperature graph, the temperature change graph, the refrigerant remaining amount graph, and the temperature distribution change with time is displayed, and also displays any output data. The operation can be performed to select.
And if operation with respect to an "end" button is performed, a container performance evaluation application will be complete | finished.
In the container performance evaluation application, for example, the parameters used for the current calculation may be stored (saved) in the parameter database storage unit 121. In addition to the parameters used for the calculation, the calculation results and output data may be saved.

  In the example shown in the figure, the “simple mode” and the “detail mode” can be set. However, for example, the simulation may be performed only in the detail mode. Further, in the example of the figure, the output data can be selected after the calculation by the calculation unit 112 is completed. However, for example, at the parameter input stage, output data to be output after completion of the calculation can be selected by the user in advance, and the selected output data may be displayed upon completion of the calculation. .

As described above, in this embodiment, an open system is set for the boundary condition of the container. Thereby, in the performance evaluation of a container, it becomes possible to perform evaluation appropriately corresponding to the case where the condition of a container is an open system. It is also possible to simulate the outside world including the container.
In the present embodiment, a plurality of containers are targeted for simulation, and parameters can be set for each container. Thus, for example, by defining the positional relationship, distance, and the like of a plurality of containers as parameters, it becomes possible to evaluate the interaction between the plurality of containers and the temperature change of the outside air where the plurality of containers are positioned. More specifically, for example, it is possible to appropriately evaluate a case in which a plurality of containers are loaded or a plurality of subdivided boxes are contained in the container.
Moreover, in this embodiment, after defining the assumption regarding a phase change as refrigerant | coolant model MD3, the formula which represented the state change and heat transfer of the refrigerant | coolant is used. As a result, as shown in the refrigerant remaining amount graph of FIG. 12, it is possible to evaluate the retention time of the refrigerant according to the phase change of the refrigerant.

In the above-described embodiment, a simulation is performed on a two-dimensional area, not on a three-dimensional area. Actual containers are often of interest in the horizontal direction. In addition, when a three-dimensional region is targeted, the amount of calculation is enormous, and there is a high possibility that an error between a result obtained by approximation or assumption by modeling and an actual result will increase. In consideration of such a situation, in the present embodiment, a simulation for a two-dimensional region is performed to suppress an increase in the amount of calculation and prevent an error from expanding.
However, in this embodiment, by changing the equations of the conduction heat transfer model MD1, the natural convection heat transfer model MD2, and the refrigerant model MD3 so as to correspond to the three-dimensional region, an open system simulation for the three-dimensional region is performed. Is also possible.

  In the above embodiment, the container performance in the case of performing cold insulation by using a temperature holding medium as a refrigerant is evaluated. However, the configuration of the present embodiment can also be applied to evaluation of container performance when, for example, high temperature contents are kept warm.

In the above-described embodiment, as an evaluation result, the temperature change according to the passage of time of the foodstuff, the temperature change according to the passage of time of the refrigerant, and the remaining amount according to the passage of time of the refrigerant are respectively represented by graphs. (FIGS. 10 to 12). Further, the change over time of the temperature distribution was displayed as a moving image or a time-lapse image that changes the thermography with the passage of time (FIG. 13).
However, with regard to the temperature change according to the passage of time of the food, the temperature change according to the passage of time of the refrigerant, and the remaining amount according to the passage of time of the refrigerant, for example, a table in which time and temperature values are associated with each other. It may be displayed in such a format. Further, the change over time in the temperature distribution may also be displayed in the form of a numerical table.

In this embodiment, the container performance evaluation device 100 may be configured as a server, and a container performance evaluation system connected to the user terminal device via a network may be configured. In this case, the server provides a web page corresponding to the parameter input screen. The user terminal device can display the parameter input screen by accessing the server. In response to the user performing a parameter input operation on the parameter input screen displayed on the user terminal device, the parameters input in the server are acquired. The server performs calculations using the acquired parameters, for example, in response to a request from the user terminal device, a temperature change according to the passage of time of the food material, a temperature change according to the passage of time of the refrigerant, the time of the refrigerant Output data such as a remaining amount corresponding to the progress and a change in temperature distribution is transmitted to the user terminal device. The user terminal device displays the received output data.
With such a configuration, for example, many users can easily receive a container performance evaluation service.

  The program for realizing the function as the container performance evaluation apparatus 100 is recorded on a computer-readable recording medium, and the program recorded on the recording medium is read by the computer system and executed. The processing as the container performance evaluation apparatus 100 may be performed. Here, “loading and executing a program recorded on a recording medium into a computer system” includes installing the program in the computer system. The “computer system” here includes an OS and hardware such as peripheral devices. Further, the “computer system” may include a plurality of computer devices connected via a network including a communication line such as the Internet, WAN, LAN, and dedicated line. The “computer-readable recording medium” refers to a storage device such as a flexible medium, a magneto-optical disk, a portable medium such as a ROM and a CD-ROM, and a hard disk incorporated in a computer system. As described above, the recording medium storing the program may be a non-transitory recording medium such as a CD-ROM. The recording medium also includes a recording medium provided inside or outside that is accessible from the distribution server in order to distribute the program. The code of the program stored in the recording medium of the distribution server may be different from the code of the program that can be executed by the terminal device. That is, the format stored in the distribution server is not limited as long as it can be downloaded from the distribution server and installed in a form that can be executed by the terminal device. Note that the program may be divided into a plurality of parts, downloaded at different timings, and combined in the terminal device, or the distribution server that distributes each of the divided programs may be different. Furthermore, the “computer-readable recording medium” holds a program for a certain period of time, such as a volatile memory (RAM) inside a computer system that becomes a server or a client when the program is transmitted via a network. Including things. The program may be for realizing a part of the functions described above. Furthermore, what can implement | achieve the function mentioned above in combination with the program already recorded on the computer system, what is called a difference file (difference program) may be sufficient.

DESCRIPTION OF SYMBOLS 100 Container performance evaluation apparatus, 101 Control part, 102 Storage part, 103 Input device part, 104 Output device part, 111 Parameter acquisition part, 112 Calculation part, 113 Evaluation result output part, 121 Parameter database storage part, 122 Use parameter storage part , 123 Calculation result storage unit

Claims (9)

A parameter acquisition unit for acquiring an outside air condition parameter for determining a condition of outside air, a container condition parameter for determining a condition of the container, and a content condition parameter for determining a condition of the contents contained in the container;
Under a boundary condition that allows flow between the inside and the outside of the container, a calculation unit that performs calculation using the parameters acquired by the parameter acquisition unit and a heat transfer model;
A container performance evaluation apparatus comprising: an evaluation result output unit that outputs an evaluation result related to the performance of the container based on a calculation result by the calculation unit. The container performance evaluation apparatus according to claim 1, wherein a boundary condition is defined that there is no flow between an inner side and an outer side of the container for a part of all directions corresponding to the container. The content condition parameter includes a temperature holding medium condition parameter for determining a temperature holding medium condition to be put in a container for temperature holding, and a temperature holding object to be held in the container together with the temperature holding medium. The container performance evaluation device according to claim 1, further comprising a temperature holding medium condition parameter that defines a condition of the object. The calculator is
The container performance evaluation apparatus according to claim 3, wherein an equation as a refrigerant model modeled based on an assumption defined with respect to a phase change of the refrigerant is calculated using a temperature holding medium condition parameter defined for the refrigerant. The evaluation result output unit
The container performance evaluation apparatus according to claim 3 or 4, wherein a change in temperature according to a lapse of time for the contents as the temperature holding object is output as an evaluation result related to the performance of the container. The evaluation result output unit
The container performance evaluation apparatus according to any one of claims 3 to 5, wherein a change in temperature corresponding to the passage of time of the contents as the temperature holding medium is output as an evaluation result related to the performance of the container. The evaluation result output unit
The container performance evaluation according to any one of claims 3 to 6, wherein a change in the remaining amount of the refrigerant, which is the content as the temperature holding medium, is output as a result of evaluation regarding the performance of the container. apparatus. The evaluation result output unit
The container performance evaluation apparatus according to any one of claims 3 to 7, wherein a change in temperature distribution in a region including the container is output as an evaluation result related to the performance of the container. Computer
A parameter acquisition unit for acquiring an external air condition parameter for determining an external air condition, a container condition parameter for determining a container condition, and a content condition parameter for determining a content condition contained in the container;
A calculation unit that performs calculation using the parameters acquired by the parameter acquisition unit and a heat transfer model under boundary conditions that allow flow between the inside and the outside of the container,
The program for functioning as an evaluation result output part which outputs the evaluation result regarding the performance of the said container based on the calculation result by the said calculation part.