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Numerical Simulation on Unsteady Heat Transfer of a Sphere

Dr. Asish Mitra

In the present numerical study, a well-known analytical model for transient, one-dimensional heat transfer is considered. A sphere of uniform temperature Ti at time t = 0 is immersed in a stagnant fluid at different temperature T∞. Heat is transferred within the sphere by conduction and from the outer surface of the sphere to the fluid by convection. Analytical model is discussed first and then a detailed numerical analysis has been done for accurate solution. The computer codes are developed for this numerical analysis in Matlab environment. In the second part of the present study, the computer codes developed are applied to a model problem. The results are then compared with those published in literature and find a good agreement