Research on Unsteady State Heat Conduction in Slab  & Cylinder

Manojkumar Sheladiya; Vinay Bhatt; Pratik Kikani; Sagarkumar Shah; Jinesh Shah

Volume : III, Issue : VIII, August - 2013

Research on Unsteady State Heat Conduction in Slab & Cylinder

Manojkumar Sheladiya, Vinay Bhatt, Pratik Kikani, Sagarkumar Shah, Jinesh Shah

Abstract :

This paper mainly concerned with the analytical solution of unsteady state one dimensional heat conduction problem. In this report as a base, improved lumped parameter model is taken to find the variation in temperature field in a slab and cylinder type geometry. Polynomial Approximation Method is used to solve the un–steady state conduction equation for both the geometry. Along with this analysis on other models like heat generation in both slab & cylinder and models with boundary heat flux is performed. Based on the analysis, a proposed Biot number has been suggested that predicts the temperature variation irrespective the geometry of the problem. A closed form solution is obtained between Biot number, time, heat source parameter and temperature for all cases. The result of the present analysis work is compared with earlier numerical and analytical results. A good analogy of results is achieved between the present data and the already available results.