Finite element solution of micropolar fluid flow and heat transfer between two porous discs

Takhar, Harmindar S., Bhargava, Pradeep, Agarwal, R. S. and Balaji, A. V. S. (2000) Finite element solution of micropolar fluid flow and heat transfer between two porous discs. International journal of engineering science, 38 (17). pp. 1907-1922. ISSN 0020-7225

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Abstract

The problem of steady axisymmetric flow and heat transfer in an incompressible micropolar fluid between two porous discs has been studied. A finite element analysis of the resulting system of nonlinear coupled differential equations representing the velocity, microrotation and temperature is presented. The numerical results for the radial and axial velocities, microrotation, temperature, skin friction, couple stress coefficient and the rate of heat transfer on the discs for different values of the micropolar parameter and the injection Renolds number have been obtained. A comparison of the results is made with those obtained through the quasilinearisation method as well as the series solution for the viscous case, thus proving the versatility of the finite element method.