Mixed convection flow of micropolar fluid over an isothermal plate with variable spin gradient viscosity
type: Item
instance of: scholarly article
title: Mixed convection flow of micropolar fluid over an isothermal plate with variable spin gradient viscosity
zbMATH Open document ID: 0936.76080
DOI: 10.1007/BF01177221
published in: Acta Mechanica
publication date: 2000-05-18T00:00:00Z
review text: This paper considers steady two-dimensional mixed convection of a viscous incompressible micropolar fluid past an isothermal horizontal heated plate in a uniform free stream with variable spin gradient viscosity. By introducing a local buoyancy parameter defined as \(\xi=Gr_x/Re_x^{5/2}\), where \(Gr_x\) is the local Grashof number and \(Re_x\) is the local Reynolds number, the authors transform the boundary layer equations into a non-similar form. these equations are able to describe both forced convection dominated flow and free convection dominated flow in limiting cases when \(\xi\to 0\) and \(\xi\to\infty\), respectively. Solutions to these transformed equations are obtained using an implicit finite difference method known as Keller box scheme. Three flow regimes are studied, namely, forced, free and mixed convection regimes. Numerical computations are carried out for fluid having a Prandtl number of 0.7 (air at \(20^\circ C)\) over the entire regimes mentioned above with the vortex viscosity parameter \(\Delta=0.0\), 1.0, 5.0 and 10.0. The authors present in tables and graphs numerical results for reduced skin friction, reduced heat transfer rates, velocity profiles and couple-stress. A detailed discussion of these flow characteristics is given, and it is shown that the local skin friction increases and the local heat transfer rate decreases with an increase in \(\Delta\) at any value of Prandtl number. It is also shown that both the momentum boundary layer and thermal boundary layer increase due to the increase in \(\Delta\).
Mathematics Subject Classification ID: 76R05
Mathematics Subject Classification ID: 76R10
Mathematics Subject Classification ID: 76A05
Mathematics Subject Classification ID: 76M20
zbMATH DE Number: 1270079
zbMATH Keywords: parametric investigation
zbMATH Keywords: local buoyancy parameter
zbMATH Keywords: boundary layer equations
zbMATH Keywords: implicit finite difference method
zbMATH Keywords: Keller box scheme
zbMATH Keywords: vortex viscosity parameter
author: M. A. Hossain
author: Mustafa Kamal Chowdhury
reviewed by: Ioan Pop
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01177221
OpenAlex ID: W1991146064
description: scientific article; zbMATH DE number 1270079