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Conduction Manual

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INSTRUCTION MANUAL

FOR
THERMAL SCIENCE LABORATORY EXPERIMENTS

HEAT CONDUCTION

INDIAN INSTITUTE OF TECHNOLOGY GUWAHATI


DEPARTMENT OF MECHANICAL ENGINEERING
NORTH GUWAHATI, GUWAHATI-781039
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GENERAL INSTRUCTIONS

1. The instructions in this manual provide only the outline. Come prepared with the back-up
material i.e. go through the theory related to the experiments, know in advance the
readings to be taken, the calculations to be performed and the results to be presented

2. The data sheets are to be countersigned by the instructor. The calculations are to be
completed and checked by the instructor on the same day. The complete report should be
submitted on the day of next lab class.

3. Each student has to submit his/her individual report and his/her individual comments and
remarks.

4 The report should include


 The aim of the experiment
 A sketch/block diagram of the apparatus
 A listing of the instruments used with details (type, range, accuracy etc.)
 Transient/steady state readings in tabular form
 Results in graphical form where required
 Comments and natures of the results with standard/reference values.
 Source of errors and error analysis.

5. The report need not include


 A description of the Apparatus
 A description of the experimental procedure

6 The following points should be attended before starting the experiment.


 Take note of any precaution with regard to the experimental set-up
 Check electrical connections before starting the experiment.
 Clarify any doubt with regard to the experiment
 Do not put on the computer attached to the set-up

DO NOT PUT ON THE SYSTEM UNTIL THE CONNECTION ARE CHECKED BY THE
INSTRUCTOR
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HEAT CONDUCTION
LINEAR CONDUCTION
dT
Heat conduction through a wall is given by Q̇ = -k A .The conduction through a wall made
dx
up of several layers is given by
Where Q̇= Heat Flow rate
k= Thermal Conductivity
A= Cross sectional area perpendicular to the
heat flow direction.
dT= Change in temperature

k1 k2 k3

T1

T2
T3

T4

l1 l2 l3

First Layer: Q̇=k1 A (T1-T2)/l1


Second Layer: Q̇=k2 A (T2-T3)/l2
Third Layer: Q̇=k3A(T3-T4)/l3

A(T1-T4)
̇Q = ----------------
l1/k1+l2/k2+l3/k3

RADIAL CONDUCTION
It corresponds to the conduction of the heat through a hollow cylinder and is given by
2 L k (T1-T2)
̇Q= ---------------------
ln(r2/r1)
̇
Where Q= Rate of Heat flow
L= Thickness of disc
T1, T2 temperature at r1 and r2
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DESCRIPTION: The linear conduction unit comprises of three elements namely the heater,
various inserts and a movable part with a cooler. By opening the toggle fastener and sliding back
the cooler, the insert can be installed. By this means the heat is transferred linearly from the
heater through an insert to the cooler. The heater consists of external insulation, lid, brass rod
and the electrical heater element. There are three measuring points under the insulation in the
brass rob. Together, with the insert, there are nine measuring points. Three different types of
insert rods can be inserted in order to measure the linear conduction. Insert 1 has three
temperature measuring points in a brass rod. This brass rod has the same diameter as the heater
and the cooler. Insert 2 also has the same diameter as the heater and the cooler, but is made from
corrosion resistant steel and does not have temperature-measuring points. Insert 3 is made of
brass but of lesser diameter 15mm and it also does not have measuring points. The cooler
consists of external insulation and a brass rod as for the heater. However, this brass rod has bores
through which the cooling water can flow. The distance between adjacent measuring points is 10
mm. The diameter of the heater, cooler, insert 1and insert 2 is 25 mm. If insert 1 is not used in
the experiments, the temperature displayed measuring 4,5, and 6 should be ignored.

The radial conduction unit consists of an insulating housing with lid and disc with heater and
cooler. The heater is fixed from below in the center of the brass disc. There is copper pipe around
the disc through cooling water can flow. From above, six temperature-measuring points are fitted
in a line that stretches radially from the center to the circumference. In radial conduction, the
measuring points are numbered from the center to outwards. The distance between adjacent
measuring points is 10 mm. The diameter of the disc is 110 mm; it is 4 mm thick. The heater is
in the center of the disk on the underside and has a diameter of 12 mm. The temperatures for
measuring points 7, 8 and 9 should be ignored during the experiments.

The control and display unit has a digital temperature (deg C) and power (Watts) display. The
measuring point for the temperature display is selected by a rotary knob. The heater power is
switched with on\off switch and adjusted using potentiometer. The measuring points in linear
and radial conduction are shown in Fig1 and Fig2.

PROCEDURE:
1. Install the insert 1 adjust the cooling water flow rate (only a very low cooling water flow rate
of approximately 1 liter/hour is required to dissipate a heater power of 90 W at a temperature
difference of 900 C).
2. Switch on the unit and adjust the power to 40 W using the potentiometer of the control and
display unit.
3. When the thermal conduction process has reached a steady state condition, i.e., the
temperatures at the individual measuring points are stable and no longer changing, note the
temperatures at various locations and the power supplied to the heater.
4. The same procedure holds good for all the inserts and for both the linear and radial
conduction.
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WARNING:

1. Do not operate the conduction unit above 1200 C. The plastic part disintegrates after this
temperature.
2. Never operate the conduction unit without cooling water. The unit gets overheated.
3. Do not connect the heater directly to mains.
4. Always switch off the control and display unit prior to changing the power supply.
Otherwise, the temperature sensors may get damaged.

RESULTS:
Plot a graph with temperature vs. location of the thermocouple. At each location of the
thermocouple, calculate the thermal conductivity.

Figure 1: Measuring points for linear Conduction

Figure 2: Measuring points for radial Conduction


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Data Sheet for linear conduction:

Insert-1. Material:_____________Length: Diameter: .

Heat T1 T2 T3 T4 T5 T6 T7 T8
Sl. Input
No Q
1

Insert-2. Material:_________________Length: Diameter: .

Heat T1 T2 T3 T4 T5 T6 T7 T8
Sl. Input
No Q
1

Insert-3. Material:_________________Length: Diameter: .

Heat T1 T2 T3 T4 T5 T6 T7 T8
Sl. Input
No Q
1

3
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Data Sheet for Radial conduction:

Material:________________Thickness: Diameter: .

Sl no Heat Input T1 T2 T3 T4 T5 T6

01

02

03

Guidelines for Report Preparation

1. Sample calculation
2. Uncertainty analysis (Uncertainty in temperature: ±(0.1-0.2)°C; Uncertainty in
dimension:± (0.02-0.04)mm; Uncertainty in power: ± 1 W)
3. Result and plotting of temperature distribution profile on graph paper
4. Discussion
5. Source of error

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