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Copyright © 2012 Wei-Fan Chen et al. Wei-Fan Chen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.

Details

Title
Unsteady Unidirectional MHD Flow of Voigt Fluids Moving between Two Parallel Surfaces for Variable Volume Flow Rates
Author
Wei-Fan, Chen; Lai, Hsin-Yi; Chen, Cha'o-Kuang
Publication year
2012
Publication date
2012
Publisher
John Wiley & Sons, Inc.
ISSN
1110757X
e-ISSN
16870042
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
1038342383
Copyright
Copyright © 2012 Wei-Fan Chen et al. Wei-Fan Chen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.