Unsteady viscous MHD flow over a permeable curved stretching/shrinking sheet

Ioan Pop, Siti Suzilliana Putri Mohamed Isa, Norihan M. Arifin, Roslinda Mohd. Nazar, Norfifah Bachok, Fadzilah M. Ali

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

Purpose - The purpose of this paper is to theoretically study the problem of the unsteady boundary layer flow past a permeable curved stretching/shrinking surface in the presence of a uniform magnetic field. The governing nonlinear partial differential equations are converted into ordinary differential equations by similarity transformation, which are then solved numerically. Design/methodology/approach - The transformed system of ordinary differential equations was solved using a fourth-order Runge-Kutta integration scheme. Results for the reduced skin friction coefficient and velocity profiles are presented through graphs and tables for several sets of values of the governing parameters. The effects of these parameters on the flow characteristics are thoroughly examined. Findings - Results show that for the both cases of stretching and shrinking surfaces, multiple solutions exist for a certain range of the curvature, mass suction, unsteadiness, stretching/shrinking parameters and magnetic field parameter. Originality/value - The paper describes how multiple (dual) solutions for the flow reversals are obtained. It is shown that the solutions exist up to a critical value of the shrinking parameter, beyond which the boundary layer separates from the surface and the solution based upon the boundary layer approximations is not possible.

Original languageEnglish
Pages (from-to)2370-2392
Number of pages23
JournalInternational Journal of Numerical Methods for Heat and Fluid Flow
Volume26
Issue number8
DOIs
Publication statusPublished - 2016

Fingerprint

MHD Flow
Shrinking
Viscous Flow
Magnetohydrodynamics
Stretching
Ordinary differential equations
Boundary layers
Magnetic fields
Boundary Layer
Magnetic Field
Skin friction
Boundary layer flow
Dual Solutions
Skin Friction
Similarity Transformation
Boundary Layer Flow
Partial differential equations
Suction
Friction Coefficient
Multiple Solutions

Keywords

  • Boundary layer
  • Curvature
  • MHD flow
  • Stretching/shrinking sheet
  • Unsteady

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Applied Mathematics

Cite this

Unsteady viscous MHD flow over a permeable curved stretching/shrinking sheet. / Pop, Ioan; Mohamed Isa, Siti Suzilliana Putri; Arifin, Norihan M.; Mohd. Nazar, Roslinda; Bachok, Norfifah; Ali, Fadzilah M.

In: International Journal of Numerical Methods for Heat and Fluid Flow, Vol. 26, No. 8, 2016, p. 2370-2392.

Research output: Contribution to journalArticle

Pop, Ioan ; Mohamed Isa, Siti Suzilliana Putri ; Arifin, Norihan M. ; Mohd. Nazar, Roslinda ; Bachok, Norfifah ; Ali, Fadzilah M. / Unsteady viscous MHD flow over a permeable curved stretching/shrinking sheet. In: International Journal of Numerical Methods for Heat and Fluid Flow. 2016 ; Vol. 26, No. 8. pp. 2370-2392.
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