Numerical analysis of hydromagnetic gravity-driven thin film micropolart flow along an inclined plane

BEG, Osman, ZUECO, J. and CHANG, T. B. (2011). Numerical analysis of hydromagnetic gravity-driven thin film micropolart flow along an inclined plane. Chemical Engineering Communications, 198 (3), 312-331.

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Abstract

The steady, gravity-driven, incompressible, hydromagnetic, laminar flow of a viscous, electrically conducting, micropolar liquid along an inclined plane subjected to a uniform transverse magnetic field is examined, neglecting surface tension effects. The governing two-dimensional boundary layer equations in an (x, y) coordinate in the absence of pressure gradient are reduced to a pair of ordinary differential equations for linear momentum and angular momentum conservation subject to generalized micro-rotation and velocity boundary conditions at the plane surface. The film thickness is assumed uniform along the plane. The reduced conservation equations are then nondimensionalized and solved numerically with the network simulation method (NSM) and Sparrow-Quack-Boerner local non-similarity method (LNM) for a wide range of the governing dimensionless fluid dynamics parameters. Excellent agreement is obtained between the NSM and LNM solutions. The computations indicate that increasing micropolarity, i.e., Eringen number, elevates micro-rotation magnitudes but reduces linear velocity, i.e., decelerates the flow. The study has significant applications in magnetic field control of materials processing systems. © Taylor & Francis Group, LLC.

Item Type:	Article
Research Institute, Centre or Group:	Materials and Engineering Research Institute > Polymers Nanocomposites and Modelling Research Centre > Materials and Fluid Flow Modelling Group
Identification Number:	10.1080/00986445.2010.512534
Depositing User:	Ann Betterton
Date Deposited:	22 Dec 2010 11:47
Last Modified:	22 Dec 2010 11:47
URI:	http://shura.shu.ac.uk/id/eprint/2887

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