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 micropolar fluid flow through penetrable walls under slip flow and thermal jump condition is examined. The Micropolar fluid accounts for the hydrodynamic limit of the classical Navier Stokes model, it takes into consideration the micro-structure of the fluid, local structure, and micro rotation of fluid particles. Here the thermal exchange and mass transport of the micropolar fluid are studied considering transport conditions such as radiation, variable magnetism, and nanoparticle concentration. The micropolar fluid flows into the channel and exits under slip velocity and temperature jump condition. The channel walls are assumed porous, fluid is incompressible, Newtonian, and flowing steadily. 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 by adopting the Homotopy perturbation method of analysis. Results obtained from the analysis show a quantitative increase of nanoparticle concentration from  enhanced thermal transfer, which effect is significant towards the lower plate. Similarly, radiation increase reveals higher heat transfer while the Reynolds parameter shows reducing heat transfer. Results obtained compared with similar literature are in good agreement. The study finds good application in tribology, ferrofluids, and arterial blood flow amongst other practical, yet relevant applications.

Keywords

Main Subjects

References

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AUT Journal of Mechanical Engineering
Volume 6, Issue 3
September 2022
Pages 427-442

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