MHD heat and mass transfer flow over a permeable stretching/shrinking sheet with radiation effect

Mohd Hafizi Mat Yasin, Anuar Mohd Ishak, Ioan Pop

Research output: Contribution to journalArticle

45 Citations (Scopus)

Abstract

The steady two-dimensional magnetohydrodynamic (MHD) flow past a permeable stretching/shrinking sheet with radiation effects is investigated. The similarity transformation is introduced to transform the governing partial differential equations into a system of ordinary differential equations before being solved numerically using a shooting method. The results are obtained for the skin friction coefficient, the local Nusselt number and the local Sherwood number as well as the velocity, temperature and the concentration profiles for some values of the governing parameters, namely, suction/injection parameter S, stretching/shrinking parameter λ, magnetic parameter M, radiation parameter R, heat source/sink Q and chemical rate parameter K. For the shrinking case, there exist two solutions for a certain range of parameters, but the solution is unique for the stretching case. The stability analysis verified that the upper branch solution is linearly stable and physically reliable while the lower branch solution is not. For the reliable solution, the skin friction coefficient increases in the present of magnetic field. The heat transfer rate at the surface decreases in the present of radiation.

Original languageEnglish
Pages (from-to)235-240
Number of pages6
JournalJournal of Magnetism and Magnetic Materials
Volume407
DOIs
Publication statusPublished - 1 Jun 2016

Fingerprint

Radiation effects
radiation effects
Magnetohydrodynamics
magnetohydrodynamics
Stretching
mass transfer
Mass transfer
heat transfer
Heat transfer
Skin friction
skin friction
coefficient of friction
Radiation
Nusselt number
Ordinary differential equations
Partial differential equations
suction
radiation
magnetohydrodynamic flow
heat sources

Keywords

  • Dual solutions
  • Magnetohydrodynamic
  • Radiation
  • Stability
  • Stretching/shrinking

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

MHD heat and mass transfer flow over a permeable stretching/shrinking sheet with radiation effect. / Mat Yasin, Mohd Hafizi; Mohd Ishak, Anuar; Pop, Ioan.

In: Journal of Magnetism and Magnetic Materials, Vol. 407, 01.06.2016, p. 235-240.

Research output: Contribution to journalArticle

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AU - Pop, Ioan

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N2 - The steady two-dimensional magnetohydrodynamic (MHD) flow past a permeable stretching/shrinking sheet with radiation effects is investigated. The similarity transformation is introduced to transform the governing partial differential equations into a system of ordinary differential equations before being solved numerically using a shooting method. The results are obtained for the skin friction coefficient, the local Nusselt number and the local Sherwood number as well as the velocity, temperature and the concentration profiles for some values of the governing parameters, namely, suction/injection parameter S, stretching/shrinking parameter λ, magnetic parameter M, radiation parameter R, heat source/sink Q and chemical rate parameter K. For the shrinking case, there exist two solutions for a certain range of parameters, but the solution is unique for the stretching case. The stability analysis verified that the upper branch solution is linearly stable and physically reliable while the lower branch solution is not. For the reliable solution, the skin friction coefficient increases in the present of magnetic field. The heat transfer rate at the surface decreases in the present of radiation.

AB - The steady two-dimensional magnetohydrodynamic (MHD) flow past a permeable stretching/shrinking sheet with radiation effects is investigated. The similarity transformation is introduced to transform the governing partial differential equations into a system of ordinary differential equations before being solved numerically using a shooting method. The results are obtained for the skin friction coefficient, the local Nusselt number and the local Sherwood number as well as the velocity, temperature and the concentration profiles for some values of the governing parameters, namely, suction/injection parameter S, stretching/shrinking parameter λ, magnetic parameter M, radiation parameter R, heat source/sink Q and chemical rate parameter K. For the shrinking case, there exist two solutions for a certain range of parameters, but the solution is unique for the stretching case. The stability analysis verified that the upper branch solution is linearly stable and physically reliable while the lower branch solution is not. For the reliable solution, the skin friction coefficient increases in the present of magnetic field. The heat transfer rate at the surface decreases in the present of radiation.

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