The analysis of the flow of a micropolar fluid between two orthogonally moving porous disks with counter rotating directions

Abstract

Abstract:The present work investigates the unsteady, imcompressible flow of a micropolar fluid between two orthogonally moving porous coaxial disks. The lower and upper disks are rotating with the same angular speed Ω in counter directions. The flows are driven by the contraction and the rotation of the disks. An extension of the Von Kármán type similarity transformation is proposed and is applied to reduce the governing partial differential equations (PDEs) to a set of non-linear coupled ordinary differential equations (ODEs) in dimensionless form. These differential equations with appropriate boundary conditions are responsible for the flow behavior between large but finite coaxial rotating disks. The analytical solutions are obtained by employing the homotopy analysis method. The effects of some various physical parameters like the expansion ratio, the rotational Reynolds number, the permeability Reynolds number, and micropolar parameters on the velocity fields are observed in graphs and discussed in detail.Keywords: homotopy analysis method • expansion ratio • orthogonally moving porous disks • micropolar fluids © Versita sp. z o.o.

Flow of two immiscible uniformly rotating micropolar and viscous fluid layers

“…In this study, the micro polarity parameter and viscosity ratio both caused a decline in fluid velocities. Yina et al [24] investigated the fully developed flow of a micropolar fluid between two rotating porous discs moving in counter directions. The effects of different physical quantities such as the Bejan number, entropy generation, irreversibility ratio, and viscous dissipation on the Poiseuille flow of two immiscible micropolar fluid layers between two inclined and horizontal parallel plates have been investigated by Ramana Murthy and Srinivas [25,26].…”