NUMERICAL STUDY OF TEMPERATURE PROFILE FOR FINNED PLATE WITH DIFFERENT BOUNDARY CONDITIONS

The present study has been carried out to investigate numerical study of temperature profile for finned plate with different boundary conditions. For many practical heat transfer problems it is not possible to obtain a solution by means of analytical techniques. Instead, Solving them requires the use of numerical methods, which in many cases allow such problems to be solved quickly. Often an engineer can easily see the effect of changes in parameter when modeling a problem numerically. The numerical techniques used in the present study are based on transient finite difference. An advantage of this method is that it provides a good physical understanding and allows for simple incorporation of modification such as heat source. Explicit method of finite difference is simple and straightforward approach and resulting system of algebraic equations is very easy to solve. The transient surface temperature distribution is determined for different types of structures subjected to convection and conduction.

The radiation effect is neglected. Taylor series was used to solve the partial differential equation obtained from energy balance. Different types of structures (flat plate, T-element, stiffened structure plate) were taken to find the temperature distribution. The coupling mesh developed in this thesis in T-element and stiffened structure plate to know the effect of temperature distribution on these structures that may cause a thermal stress and may lead to a failure of the structure. Computer program (Matlab6.1) was used to calculate the temperature distribution on these structures. It is found that the variation of thermal conductivity has an effect on the shape of the concaveness of the temperature profile and the global minimum of the curve varied with the increasing of the time increment