The transient MHD flow generated by a periodicwall motion in a porous space

M. Abdulhameed, H. Saleh, Ishak Hashim, R. Roslan

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The problem of transient flow of incompressible third grade fluid on the two-dimensional magnetohydrodynamic (MHD) flow in a porous space is analyzed. The flow is generated due to the motion of the plate in its plane with a periodic velocity. Under the flow assumptions, the governing nonlinear partial differential equation is transformed into steady-state and transient nonlinear equations. The reduced equation for the transient flow is solved analytically using symmetry approach while the nonlinear steady-state equation is solved using a modified version of He's homotopy perturbation method. The effect of several operating parameters on the flow hydromagnetic is discussed. The results indicated that for the considered case, t = 1:5 is the moment after which the time-dependent transient motion of the fluid can be approximated with the steady-state motion, described by the steady-state solution. It is clear that, after this value of time t the time-dependent transient solution can be neglected.

Original languageEnglish
Pages (from-to)509-517
Number of pages9
JournalJournal of Applied Fluid Mechanics
Volume9
Issue number1
Publication statusPublished - 2016

Fingerprint

magnetohydrodynamic flow
Magnetohydrodynamics
fluids
Fluids
partial differential equations
nonlinear equations
grade
equations of state
Nonlinear equations
Partial differential equations
moments
perturbation
symmetry

Keywords

  • Analytical solutions
  • Magnetohydrodynamic
  • Periodic wall
  • Porous space
  • Third-grade fluid
  • Transient flow

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Condensed Matter Physics

Cite this

The transient MHD flow generated by a periodicwall motion in a porous space. / Abdulhameed, M.; Saleh, H.; Hashim, Ishak; Roslan, R.

In: Journal of Applied Fluid Mechanics, Vol. 9, No. 1, 2016, p. 509-517.

Research output: Contribution to journalArticle

Abdulhameed, M. ; Saleh, H. ; Hashim, Ishak ; Roslan, R. / The transient MHD flow generated by a periodicwall motion in a porous space. In: Journal of Applied Fluid Mechanics. 2016 ; Vol. 9, No. 1. pp. 509-517.
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