Journal of Applied Mathematics

Unsteady Unidirectional MHD Flow of Voigt Fluids Moving between Two Parallel Surfaces for Variable Volume Flow Rates

Wei-Fan Chen, Hsin-Yi Lai, and Cha'o-Kuang Chen

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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.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 869357, 12 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495182

Digital Object Identifier
doi:10.1155/2012/869357

Mathematical Reviews number (MathSciNet)
MR2948104

Zentralblatt MATH identifier
1251.76061

Citation

Chen, Wei-Fan; Lai, Hsin-Yi; Chen, Cha'o-Kuang. Unsteady Unidirectional MHD Flow of Voigt Fluids Moving between Two Parallel Surfaces for Variable Volume Flow Rates. J. Appl. Math. 2012 (2012), Article ID 869357, 12 pages. doi:10.1155/2012/869357. https://projecteuclid.org/euclid.jam/1355495182


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