Unsteady unidirectional MHD flow of Voigt fluids moving between two parallel surfaces for variable volume flow rates
type: Item
instance of: scholarly article
title: Unsteady unidirectional MHD flow of Voigt fluids moving between two parallel surfaces for variable volume flow rates
zbMATH Open document ID: 1251.76061
DOI: 10.1155/2012/869357
author: Xianqiang Yang
published in: Journal of Applied Mathematics
publication date: 2012-11-15T00:00:00Z
review text: Summary: The velocity profile and pressure gradient of an unsteady state unidirectional MHD flow of Voigt fluids moving between two parallel surfaces under magnetic field effects are solved by the Laplace transform method. The flow motion between parallel surfaces is induced by a prescribed inlet volume flow rate that varies with time. Four cases of different inlet volume flow rates are considered in this study including (1) constant acceleration piston motion, (2) suddenly started flow, (3) linear acceleration piston motion, and (4) oscillatory piston motion. The solution for each case is elaborately derived, and the results of associated velocity profile and pressure gradients are presented in analytical forms.
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 6106334
zbMATH Keywords: unidirectional MHD flow
zbMATH Keywords: two parallel surfaces
Wikidata QID: Q58907515
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/869357
OpenAlex ID: W2164067578
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description: scientific article; zbMATH DE number 6106334