Evaluation of Micropolar Fluid Transport through Penetrable Medium: Effect of Flow and Thermal Slip

Document Type : Research Article

Authors

1 Department of Mechanical Engineering, University of Lagos, Akoka-Yaba, Nigeria.

2 Department of Mechanical Engineering, Igbinedion University, Edo, Nigeria.

Abstract

In this study, the micro polar fluid flow through penetrable walls under slip flow and thermal jump condition is examined. The Micropolar fluid accounts for the hydrodynamic limitation of the classical Navier Stokes model, it takes into consideration micro-structure of the fluid, local structure and micro rotation of fluid particles. Here the thermal exchange and mass transport of the micro polar fluid is studied considering transport conditions such as radiation, variable magnetism and nanoparticle concentration. The mechanics of the fluid is described by coupled, highly successive, nonlinear system of higher order partial differential equations transformed using appropriate similarity transform to ordinary differentials. These are analyzed adopting the Homotopy perturbation method of analysis. Results obtained from analysis shows quantitative increase of nanoparticles concentration from 1-4% enhances thermal transfer, which effect is significant towards the lower plate. Similarly radiation increase reveals higher heat transfer while Reynolds parameter shows reducing heat transfer. Results obtained compared with similar literatures are in good agreement. Study finds good application in tribology, ferro fluids and arterial blood flow amongst other practical, yet relevant applications.

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