Analytic approximate solutions for heat transfer of a micropolar fluid through a porous medium with radiation |
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| Institution: | 1. Department of Mechanical Engineering, University of Mazandaran, Babolsar, Islamic Republic of Iran;2. Department of Mechanical Engineering, Babol University of Technology, P.O. Box 484, Babol, Islamic Republic of Iran;3. Esfarayen University, Engineering and Technical College, Department of Mechanical Engineering, Esfarayen, North Khorasan, Islamic Republic of Iran;1. Young Researchers Club, Sari Branch, Islamic Azad University, Sari, Iran;2. Department of Mechanical Engineering, Sari Branch, Islamic Azad University, Sari, Iran;3. Department of Mechanical Engineering, Esfarayen University of Technology, Esfarayen, North Khorasan, Iran |
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| Abstract: | 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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