MHD flow and heat transfer over a moving plate in a parallel stream with induced magnetic field

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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The present analysis considers a MHD boundary layer flow and heat transfer of an electrically-conducting viscous fluid over a moving flat plate in a parallel stream with a constant magnetic field applied outside the boundary layer parallel to the plate. Using a similarity transformation, the governing system of partial differential equations was transformed to ordinary differential equations. The similarity equations were then solved numerically using a finitedifference scheme known as the Keller-box method. Numerical results were obtained for the velocity, induced magnetic and temperature profiles, the skin friction coefficient and the local Nusselt number for some values of the moving parameter ε, magnetic parameter M, the Prandtl number Pr and reciprocal magnetic Prandtl α. The results indicate that dual solutions exist when the plate and the fluid move in the opposite directions, up to a critical value of the moving parameter εc, whose value depends on the value of the magnetic parameter. Furthermore, an increase in the values of the magnetic parameter M and the moving parameter ε will increase the surface heat transfer rate.

Original languageEnglish
Title of host publicationAIP Conference Proceedings
Pages306-310
Number of pages5
Volume1522
DOIs
Publication statusPublished - 2013
Event20th National Symposium on Mathematical Sciences - Research in Mathematical Sciences: A Catalyst for Creativity and Innovation, SKSM 2012 - Putrajaya
Duration: 18 Dec 201220 Dec 2012

Other

Other20th National Symposium on Mathematical Sciences - Research in Mathematical Sciences: A Catalyst for Creativity and Innovation, SKSM 2012
CityPutrajaya
Period18/12/1220/12/12

Fingerprint

heat transfer
magnetic fields
skin friction
boundary layer flow
viscous fluids
Prandtl number
flat plates
Nusselt number
partial differential equations
temperature profiles
coefficient of friction
boxes
boundary layers
differential equations
conduction
fluids
profiles

Keywords

  • Induced magnetic field
  • Magnetohydrodynamic (MHD) flow
  • Moving plate

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

MHD flow and heat transfer over a moving plate in a parallel stream with induced magnetic field. / Jafar, Khamisah; Mohd. Nazar, Roslinda; Mohd Ishak, Anuar; Pop, Ioan.

AIP Conference Proceedings. Vol. 1522 2013. p. 306-310.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Jafar, K, Mohd. Nazar, R, Mohd Ishak, A & Pop, I 2013, MHD flow and heat transfer over a moving plate in a parallel stream with induced magnetic field. in AIP Conference Proceedings. vol. 1522, pp. 306-310, 20th National Symposium on Mathematical Sciences - Research in Mathematical Sciences: A Catalyst for Creativity and Innovation, SKSM 2012, Putrajaya, 18/12/12. https://doi.org/10.1063/1.4801139
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N2 - The present analysis considers a MHD boundary layer flow and heat transfer of an electrically-conducting viscous fluid over a moving flat plate in a parallel stream with a constant magnetic field applied outside the boundary layer parallel to the plate. Using a similarity transformation, the governing system of partial differential equations was transformed to ordinary differential equations. The similarity equations were then solved numerically using a finitedifference scheme known as the Keller-box method. Numerical results were obtained for the velocity, induced magnetic and temperature profiles, the skin friction coefficient and the local Nusselt number for some values of the moving parameter ε, magnetic parameter M, the Prandtl number Pr and reciprocal magnetic Prandtl α. The results indicate that dual solutions exist when the plate and the fluid move in the opposite directions, up to a critical value of the moving parameter εc, whose value depends on the value of the magnetic parameter. Furthermore, an increase in the values of the magnetic parameter M and the moving parameter ε will increase the surface heat transfer rate.

AB - The present analysis considers a MHD boundary layer flow and heat transfer of an electrically-conducting viscous fluid over a moving flat plate in a parallel stream with a constant magnetic field applied outside the boundary layer parallel to the plate. Using a similarity transformation, the governing system of partial differential equations was transformed to ordinary differential equations. The similarity equations were then solved numerically using a finitedifference scheme known as the Keller-box method. Numerical results were obtained for the velocity, induced magnetic and temperature profiles, the skin friction coefficient and the local Nusselt number for some values of the moving parameter ε, magnetic parameter M, the Prandtl number Pr and reciprocal magnetic Prandtl α. The results indicate that dual solutions exist when the plate and the fluid move in the opposite directions, up to a critical value of the moving parameter εc, whose value depends on the value of the magnetic parameter. Furthermore, an increase in the values of the magnetic parameter M and the moving parameter ε will increase the surface heat transfer rate.

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