eng Science and Education Publishing American Journal of Mechanical Engineering 2328-4110 2013-04-22 1 1 50 57 10.12691/ajme-1-2-5 AJME2013125 article Saeed Rafee Nekoo rafee@iust.ac.ir 1 School of mechanical engineering, Iran University of Science and Technology (IUST), Tehran, Iran 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. http://pubs.sciepub.com/ajme/1/2/5/ajme-1-2-5.pdf generalized finite Hankel transform circle sector cylinder finite element method heat conduction