The unsteady flow of a third-grade fluid caused by the periodic motion of an infinite wall with transpiration

M. Abdulhameed, W. Varnhorn, Ishak Hashim, R. Roslan

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

In this work, the unidirectional flow of an incompressible electrically conducting third-grade fluid past a vertical transpiration wall through a porous medium with time-dependent periodic motion is presented. The nonlinear partial differential equations are transformed to ordinary differential equation by means of symmetry reductions. The reduced equation is then solved analytically for steady-state and time-dependent transient parts. The time series of the transient flow velocity for different pertinent parameters are examined through plots. During the course of computation, it was observed that the time-dependent transient and steady-state solutions agree very well at large value of time when the ratio is related to fluid parameters γ∗/γ>1.

Original languageEnglish
Pages (from-to)1233-1241
Number of pages9
JournalAlexandria Engineering Journal
Volume54
Issue number4
DOIs
Publication statusPublished - 1 Dec 2015

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Transpiration
Unsteady flow
Fluids
Ordinary differential equations
Flow velocity
Partial differential equations
Porous materials
Time series

Keywords

  • Magnetohydrodynamic
  • Periodic wall
  • Porous medium
  • Symmetry reductions
  • Third-grade fluid
  • Transpiration velocity

ASJC Scopus subject areas

  • Engineering(all)

Cite this

The unsteady flow of a third-grade fluid caused by the periodic motion of an infinite wall with transpiration. / Abdulhameed, M.; Varnhorn, W.; Hashim, Ishak; Roslan, R.

In: Alexandria Engineering Journal, Vol. 54, No. 4, 01.12.2015, p. 1233-1241.

Research output: Contribution to journalArticle

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