Exact Solution for Heat Conduction Problem of a Sector of a Hollow Cylinder

Saeed Rafee Nekoo^1,

¹School of mechanical engineering, Iran University of Science and Technology (IUST), Tehran, Iran

Cite this paper:
Saeed Rafee Nekoo. Exact Solution for Heat Conduction Problem of a Sector of a Hollow Cylinder. American Journal of Mechanical Engineering. 2013; 1(2):50-57. doi: 10.12691/ajme-1-2-5

Abstract

In this article, the heat conduction problem of a sector of a finite hollow cylinder is studied as an exact solution approach. The governing equations are in the form of non-homogeneous partial differential equation (PDE) with non-homogeneous boundary conditions. In order to solve the PDE equation, generalized finite Hankel, periodic Fourier, Fourier and Laplace transforms are applied. Three different boundary conditions as case studies for simulations are presented and verified with the result which extracted from finite element method. The results are shown that this approach is suitable and systematic for solving heat conduction problems in cylindrical coordinate.

Keywords:
generalized finite Hankel transform circle sector cylinder finite element method heat conduction

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