Abstract

This article studies the Darcy–Forchheimer flow of three-dimensional micropolar nanofluid between parallel and horizontal plates in a rotating system. The micropolar nanofluid in permeable media is described by assuming the Darcy–Forchheimer model, where drenching the permeable space obeys the Darcy–Forchheimer expression. The significant influence of Brownian motion and thermophoresis has been taken in the nanofluids model. The thermal radiation impact is taken to be varying in terms of non-uniform absorption/generation for the purpose to see the concentration as well as the temperature modifications between the nanofluid and the surfaces. The leading equations are converted into a system of differential nonlinear equations and then homotopic method is used for solving the modeled equations. The other physical impacts, that is, skin friction, heat flux, and mass flux, have been studied through tables. The impacts of the porosity, rotation, and inertia coefficient analysis have been mainly focused in this research. It is observed that the higher value of Fr decay the velocity profile, while it increases the transverse velocity, and the increase in the porosity parameter [Formula: see text] increases the porous space, which creates resistance in the flow path and reduces the flow motion. Skin friction coefficient is observed to be larger for the strong concentration [Formula: see text], as compared to the case of weak concentration [Formula: see text]. Impact of strong and weak concentrations on Nusselt and Sherwood numbers seems to be similar in a quantitative sense.

Highlights

  • The fluids with microstructure are called micropolar fluids

  • The theory of micropolar fluid has been a field of very active research because it takes into consideration the microscopic influences arising from the local structure and micromotions of the fluid elements

  • A micropolar fluid by the influence of magnetic induction on a flat plate was primarily deliberated by Mohammeadein and Gorla.[4]

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Summary

Introduction

The fluids with microstructure are called micropolar fluids. Micropolar fluids belong to a class of fluids with non-symmetric stress tensor, named polar fluids. Eringen[1,2] was the pioneer of the basic idea regarding micropolar fluid. He has found applications in physiological and engineering problems. Keeping in view the depth and wide range of uses, Lukaszewicz[3] has briefly studied the micropolar fluids. These fluids indicate fluids covering unpredictably oriented liquids suspended in a viscid medium. Agarwal and Dhanapal[6] have inspected micropolar fluid with convective conditions in parallel absorbent vertical plates. The stagnation point micropolar fluid with stretched sheet has been examined in Nazar and colleagues.[8,9] The other relevant studies with micropolar fluid can be seen in the literature.[10,11,12,13] Recently, Shah and colleagues[14,15] have studied micropolar nanofluid flow with Hall effect in rotating parallel plates with impacts of thermal radiation

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