MHD flow and heat transfer over stretching/shrinking sheets with external magnetic field, viscous dissipation and Joule effects

Khamisah Jafar, Roslinda Mohd. Nazar, Anuar Mohd Ishak, Ioan Pop

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

The present article considers the steady magnetohydrodynamic (MHD) laminar boundary layer flow of a viscous and incompressible electrically conducting fluid near the stagnation point on a horizontal stretching or shrinking surface, with variable surface temperature and a constant magnetic field applied normal to the surface of the sheet. The governing system of partial differential equations is first transformed into a system of ordinary differential equations by introducing an appropriate similarity transformation, which is then solved numerically using a finite-difference scheme known as the Keller-box method. The effects of the governing parameters on the skin friction coefficient, the local Nusselt number as well as the velocity and temperature profiles are determined and discussed. Results indicate that for the stretching sheet, solution exists and is unique for all values of the stretching/shrinking parameter λ, while for the shrinking sheet, solutions only exist up to some critical values λ = λ c, , and these solutions may be unique, dual and sometimes triple.

Original languageEnglish
Pages (from-to)1336-1346
Number of pages11
JournalCanadian Journal of Chemical Engineering
Volume90
Issue number5
DOIs
Publication statusPublished - Oct 2012

Fingerprint

Magnetohydrodynamics
Stretching
Magnetic fields
Heat transfer
Laminar boundary layer
Skin friction
Boundary layer flow
Nusselt number
Ordinary differential equations
Partial differential equations
Temperature
Fluids

Keywords

  • Boundary layer
  • Heat transfer
  • MHD
  • Numerical solution
  • Stretching/shrinking sheets

ASJC Scopus subject areas

  • Chemical Engineering(all)

Cite this

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abstract = "The present article considers the steady magnetohydrodynamic (MHD) laminar boundary layer flow of a viscous and incompressible electrically conducting fluid near the stagnation point on a horizontal stretching or shrinking surface, with variable surface temperature and a constant magnetic field applied normal to the surface of the sheet. The governing system of partial differential equations is first transformed into a system of ordinary differential equations by introducing an appropriate similarity transformation, which is then solved numerically using a finite-difference scheme known as the Keller-box method. The effects of the governing parameters on the skin friction coefficient, the local Nusselt number as well as the velocity and temperature profiles are determined and discussed. Results indicate that for the stretching sheet, solution exists and is unique for all values of the stretching/shrinking parameter λ, while for the shrinking sheet, solutions only exist up to some critical values λ = λ c, , and these solutions may be unique, dual and sometimes triple.",
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author = "Khamisah Jafar and {Mohd. Nazar}, Roslinda and {Mohd Ishak}, Anuar and Ioan Pop",
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AU - Jafar, Khamisah

AU - Mohd. Nazar, Roslinda

AU - Mohd Ishak, Anuar

AU - Pop, Ioan

PY - 2012/10

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N2 - The present article considers the steady magnetohydrodynamic (MHD) laminar boundary layer flow of a viscous and incompressible electrically conducting fluid near the stagnation point on a horizontal stretching or shrinking surface, with variable surface temperature and a constant magnetic field applied normal to the surface of the sheet. The governing system of partial differential equations is first transformed into a system of ordinary differential equations by introducing an appropriate similarity transformation, which is then solved numerically using a finite-difference scheme known as the Keller-box method. The effects of the governing parameters on the skin friction coefficient, the local Nusselt number as well as the velocity and temperature profiles are determined and discussed. Results indicate that for the stretching sheet, solution exists and is unique for all values of the stretching/shrinking parameter λ, while for the shrinking sheet, solutions only exist up to some critical values λ = λ c, , and these solutions may be unique, dual and sometimes triple.

AB - The present article considers the steady magnetohydrodynamic (MHD) laminar boundary layer flow of a viscous and incompressible electrically conducting fluid near the stagnation point on a horizontal stretching or shrinking surface, with variable surface temperature and a constant magnetic field applied normal to the surface of the sheet. The governing system of partial differential equations is first transformed into a system of ordinary differential equations by introducing an appropriate similarity transformation, which is then solved numerically using a finite-difference scheme known as the Keller-box method. The effects of the governing parameters on the skin friction coefficient, the local Nusselt number as well as the velocity and temperature profiles are determined and discussed. Results indicate that for the stretching sheet, solution exists and is unique for all values of the stretching/shrinking parameter λ, while for the shrinking sheet, solutions only exist up to some critical values λ = λ c, , and these solutions may be unique, dual and sometimes triple.

KW - Boundary layer

KW - Heat transfer

KW - MHD

KW - Numerical solution

KW - Stretching/shrinking sheets

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