## Abstract In this paper, the differential transform method (DTM) was applied to heat transfer of a micropolar fluid through a porous medium with radiation. The governing equations can be written as a system of nonlinear ordinary differential equations. The approximate solutions of these equations
Analytic approximate solutions for heat transfer of a micropolar fluid through a porous medium with radiation
โ Scribed by M.M. Rashidi; S.A. Mohimanian pour; S. Abbasbandy
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 789 KB
- Volume
- 16
- Category
- Article
- ISSN
- 1007-5704
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โฆ Synopsis
This paper aims to present complete analytic solution to heat transfer of a micropolar fluid through a porous medium with radiation. Homotopy analysis method (HAM) has been used to get accurate and complete analytic solution. The analytic solutions of the system of nonlinear ordinary differential equations are constructed in the series form. The convergence of the obtained series solutions is carefully analyzed. The velocity and temperature profiles are shown and the influence of coupling constant, permeability parameter and the radiation parameter on the heat transfer is discussed in detail. The validity of our solutions is verified by the numerical results (fourth-order Runge-Kutta method and shooting method).
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