Article citationsMore >>

Akhtar W., Siddique I., Sohail A., Exact Solutions for the Rotational Flow of a Generalized Maxwell Fluid Between two Circular Cylinders, Commun Nonlinear Sci Numer Simulat 16, 2011, 2788-2795.

has been cited by the following article:

Article

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

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


American Journal of Mechanical Engineering. 2013, Vol. 1 No. 2, 50-57
DOI: 10.12691/ajme-1-2-5
Copyright © 2013 Science and Education Publishing

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.

Correspondence to: Saeed Rafee Nekoo, School of mechanical engineering, Iran University of Science and Technology (IUST), Tehran, Iran. Email: rafee@iust.ac.ir

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