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

Authors : Mosayeb GHOLINIA, Saber GHOLINIA, Hossein JAVADI, Davood Domiri GANJI

Pages : 393-413

View : 29 | Download : 8

Publication Date : 2019-06-01

Article Type : Research Paper

Abstract :In this paper, we have used the Variational Iteration Method insert ignore into journalissuearticles values(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 insert ignore into journalissuearticles values(AGM);, Collocation Method insert ignore into journalissuearticles values(CM);, and Flex-PDE software. The influences of various parameters including microrotation/angular velocity, Peclet number insert ignore into journalissuearticles values(Pe);, and Reynolds number insert ignore into journalissuearticles values(Re); on the flow, concentration, and heat transfer distribution are studied. Based on the results, Nusselt number insert ignore into journalissuearticles values(Nu); has a direct relation with Reynolds number and Sherwood number insert ignore into journalissuearticles values(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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