Unsteady MHD flow and heat transfer over a shrinking sheet with ohmic heating

Siti Khuzaimah Soid, Anuar Mohd Ishak, Ioan Pop

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

The problem of unsteady magnetohydrodynamic (MHD) stagnation point flow over a stretching/shrinking sheet in a viscous fluid with viscous dissipation and ohmic heating is studied in this paper. The physical problem is modeled using a system of nonlinear partial differential equations and are then transformed into ordinary (similarity) differential equations using a proper transformation. These equations along with the corresponding boundary conditions are solved numerically using bvp4c in Matlab software. The solution is found to be dependent on the governing parameters including the magnetic field parameter, the Eckert number, unsteadiness parameter and the Prandtl number. The results illustrated include the velocity and temperature profiles, as well as local skin-friction coefficient and the local Nusselt number. It is found that dual (first and second) solutions exist only for the shrinking sheet case. It is also observed that the magnetic and unsteadiness parameters give prominent effects on the fluid flow and heat transfer. These two parameters cause a rise in the skin friction coefficient and the rate of heat transfer.

Original languageEnglish
Pages (from-to)1626-1636
Number of pages11
JournalChinese Journal of Physics
Volume55
Issue number4
DOIs
Publication statusPublished - 1 Aug 2017

Fingerprint

magnetohydrodynamic flow
heat transfer
heating
skin friction
coefficient of friction
stagnation point
viscous fluids
Prandtl number
Nusselt number
partial differential equations
temperature profiles
magnetohydrodynamics
fluid flow
differential equations
dissipation
velocity distribution
boundary conditions
computer programs
causes
magnetic fields

Keywords

  • Dual solutions
  • Magnetodydrodynamic
  • Ohmic heating
  • Stagnation point
  • Stretching/shrinking
  • Viscous dissipation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Unsteady MHD flow and heat transfer over a shrinking sheet with ohmic heating. / Soid, Siti Khuzaimah; Mohd Ishak, Anuar; Pop, Ioan.

In: Chinese Journal of Physics, Vol. 55, No. 4, 01.08.2017, p. 1626-1636.

Research output: Contribution to journalArticle

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