Abstract
The present analysis deals with flow and heat transfer aspects of a micropolar nanofluid between two horizontal parallel plates in a rotating system. The governing partial differential equations for momentum, energy, micro rotation and nano-particles concentration are presented. Similarity transformations are utilized to convert the system of partial differential equations into system of ordinary differential equations. The reduced equations are solved analytically with the help of optimal homotopy analysis method (OHAM). Analytical solutions for velocity, temperature, micro-rotation and concentration profiles are expressed graphically against various emerging physical parameters. Physical quantities of interest such as skin friction co-efficient, local heat and local mass fluxes are also computed both analytically and numerically through mid-point integration scheme. It is found that both the solutions are in excellent agreement. Local skin friction coefficient is found to be higher for the case of strong concentration i.e. n=0, as compared to the case of weak concentration n=0.50. Influence of strong and weak concentration on Nusselt and Sherwood number appear to be similar in a quantitative sense.
Highlights
The idea of micropolar fluid was introduced by Eringen [1,2]
Hydromagnetic flow of micropolar nanofluid between two horizontal parallel plates in a rotating system has been investigated numerically as well as analytically using optimal HAM
The effects of coupling parameter N1 and Hartman number M on velocity profile f0(η) are found to be opposite compared to viscosity parameter N2 and rotation parameter Kr
Summary
The idea of micropolar fluid was introduced by Eringen [1,2]. This idea is a substantial generalization of the classical Navier Stokes model to discuss certain complex fluids. This particular class of fluids consists of rigid, randomly oriented spherical particles with microstructures such as liquid crystals, colloidal fluids, polymeric suspensions, hematological suspensions and animal blood etc. Bhargava et al [5] presented finite element solutions for mixed convective micropolar flow driven by a porous stretching sheet. Ziabakhsh et al [8] presented Homotopy analysis solutions of micropolar flow in a porous channel with heat and PLOS ONE | DOI:10.1371/journal.pone.0124016. Ziabakhsh et al [8] presented Homotopy analysis solutions of micropolar flow in a porous channel with heat and PLOS ONE | DOI:10.1371/journal.pone.0124016 June 5, 2015
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