Analytical and Numerical investigation of natural convection in a heated cylinder using Homotopy Perturbation Method

Mazaher Rahim-Esbo, Shahab Bayani, Reza Mohammadyari, Alireza Khalili Asboei, Saed Mohsenian, Seyed Esmaei Mousavitileboni


Homotopy Perturbation Method (HPM) has been applied to solve a nonlinear heat transfer problem. Natural convection around an isothermal horizontal cylinder was studied. Heat transfer coefficient and specific heat coefficient were assumed to be dependent on temperature. Outcomes were compared with solution of heat transfer equation with constant properties. Solutions of HPM were compared with numerical results for different cases, and variation of Nusselt number was obtained and investigated.



homotopy perturbation method (HPM); nonlinear heat transfer; numerical Runge-Kutta Method (NM); natural convection; Nusselt number

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ISSN 1806-2563 (impresso) e ISSN 1807-8664 (on-line) e-mail:


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