Dimensionless Number

I have deduced the value of the constant α like statistic limit, correspondent with the quantum-hypothesis “E=hν” d a least interaction between electric charges; in I.S. , others fundamental constants of interaction are a consequence: from masses and quark colours to the gravitation.

The current economic and technological advancement has increased the load of energy sources, many conventional energy sources are quite limited and have much hazardous effect on the health of living beings and environment of our earth, besides this emission of Green House Gas is considered the main cause of environmental changes. In view of these problems a need of an efficient and clean energy source through the use of advanced technologies and systems are fostering day by day. For this purpose Different types of solar power plant are now being used to convert solar energy into electricity production unit. Limited availability of sunlight forces the use of Thermal energy storage unit for the production of electricity throughout the day.

Phase Change Materials (PCMs) is one of the most basic and important component of TES unit for storage and retrieval of heat. PCMs store heat by absorbing heat from Heat Transfer fluid of solar plant by phase transition (Solid-Liquid). Liquid PCM then release heat during discharging process which is being absorbed by HTF and forwarded to power generation unit to generate electricity. Many researchers used numerical techniques to study the performance of Thermal energy storage unit (e.g 4, 5) but there is not much work on the analytical modeling of TES unit to study the forced and natural convection. Recently Bechiri[1] modeled one tube and shell mode to study the melting and thermal energy storage capacity of the system using analytical technique. Results obtained showed good agreement with numerical and experimental data. This goal of this project is to model a system involving Heat transfer fluid as a heat source and Phase Change Material contained in a cylindrical container to study the effects of convection on the transition rate of material. Analytical method was applied to simulate results and different dimensionless parameters such as Biot number and Rayleigh number was introduced to study forced and natural convection.