INVESTIGATION OF MICROPOLAR FLUID FLOW AND HEAT TRANSFER IN A TWO-DIMENSIONAL PERMEABLE CHANNEL BY ANALYTICAL AND NUMERICAL METHODS

Year 2019, Volume: 37 Issue: 2, 393 - 413, 01.06.2019

Mosayeb Gholınıa Saber Gholınıa Hossein Javadı Davood Domiri Ganjı

Abstract

In this paper, we have used the Variational Iteration Method (VIM) to study micropolar fluid flow and heat transfer in a two-dimensional permeable channel. To check the precision of the obtained results, they have been compared with the results of Runge-Kutta Fourth-Order Method, Akbari-Ganji's Method (AGM), Collocation Method (CM), and Flex-PDE software. The influences of various parameters including microrotation/angular velocity, Peclet number (Pe), and Reynolds number (Re) on the flow, concentration, and heat transfer distribution are studied. Based on the results, Nusselt number (Nu) has a direct relation with Reynolds number and Sherwood number (Sh), while it has a reverse relation with Peclet number. In addition, by increasing Peclet number, concentration and temperature profiles increase as well. It is concluded that both VIM and AGM are powerful methods to solve nonlinear differential equations.

Keywords

Micropolar fluid, permeable channel, Variational Iteration Method (VIM), Akbari-Ganji, heat transfer.

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