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A SPECTRAL METHOD APPROACH FOR ROLE OF SORET AND VISCOUS DISSIPATION OVER A TRUNCATED CONE IN MICROPOLAR FLUID SATURATED NON-DARCY POROUS MEDIUM WITH MAGNETIC FIELD EFFECT

Volume 8, Issue 3, 2017, pp. 211-229
DOI: 10.1615/SpecialTopicsRevPorousMedia.v8.i3.40
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ABSTRACT

An analysis is made to examine the laminar natural convection boundary layer flow of an incompressible micropolar fluid over a vertical frustum of a cone in a non-Darcy porous medium by considering the viscous dissipation, magnetic field, and Soret effects subject to convective boundary condition. In this study, the Darcy–Forchheimer model is incorporated. The governing micropolar fluid flow equations in dimensional form are transformed into non-similarity equations, which are solved by the spectral quasi-linearization method. The results revealed that skin friction, Sherwood number, and wall couple stress are low and the Nusselt number is high for the truncated cone case but the reverse behavior is noticed in case of vertical plate with the increase of these parameters namely, coupling number, Soret number, Hartmann number, viscous dissipation, and Forchheimer number.

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