Unsteady unidirectional MHD flow of voigt fluids moving between two parallel surfaces for variable volume flow rates

Wei Fan Chen, Steven Hsin-Yi Lai, Cha'O Kuang Chen

Research output: Contribution to journalArticle

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.

Original languageEnglish
Article number869357
JournalJournal of Applied Mathematics
Volume2012
DOIs
Publication statusPublished - 2012 Aug 17

Fingerprint

MHD Flow
Unsteady Flow
Magnetohydrodynamics
Pistons
Flow Rate
Flow of fluids
Flow rate
Pressure gradient
Fluid
Motion
Pressure Gradient
Velocity Profile
Magnetic field effects
Laplace transforms
Laplace transform
Magnetic Field
Vary

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

Cite this

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Unsteady unidirectional MHD flow of voigt fluids moving between two parallel surfaces for variable volume flow rates. / Chen, Wei Fan; Lai, Steven Hsin-Yi; Chen, Cha'O Kuang.

In: Journal of Applied Mathematics, Vol. 2012, 869357, 17.08.2012.

Research output: Contribution to journalArticle

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