Mixed convection flow of an electrically conducting fluid in a vertical channel using Robin boundary conditions with heat source/sink

J. C. Umavathi, M. A. Sheremet

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

A numerical study of steady, mixed convection of electrically conducting fluid in a vertical channel with heat source/sink is analyzed using Robin boundary conditions. The plate exchanges heat with an external fluid. Both conditions of equal and different reference temperature of the external fluid are considered. The governing equations are solved analytically using regular perturbation method and numerically by Runge-Kutta fourth order method with shooting technique. The graphs illustrating the effects of various parameters involved in the problem on the flow as well as average velocity and Nusselt number are presented and discussed. It is found that the effect of negative electric field load parameter is to aid the flow while the effect of positive electric field load parameter is to oppose the flow as compared to the case of short circuit. The analytical and numerical solutions agree very well for small values of perturbation parameter.

Original languageEnglish
Pages (from-to)132-145
Number of pages14
JournalEuropean Journal of Mechanics, B/Fluids
Volume55
DOIs
Publication statusPublished - 1 Jan 2016

Fingerprint

Mixed Convection
Robin Boundary Conditions
conducting fluids
Heat Source
heat sources
sinks
convection
Vertical
boundary conditions
Fluid
Electric Field
Shooting
Parameter Perturbation
Nusselt number
Runge-Kutta
Perturbation Method
perturbation
Fourth Order
electric fields
Numerical Study

Keywords

  • Electric field load parameter
  • Hartmann number
  • Heat source/sink
  • Mixed convection
  • Robin boundary conditions
  • Runge-Kutta Shooting method

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

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abstract = "A numerical study of steady, mixed convection of electrically conducting fluid in a vertical channel with heat source/sink is analyzed using Robin boundary conditions. The plate exchanges heat with an external fluid. Both conditions of equal and different reference temperature of the external fluid are considered. The governing equations are solved analytically using regular perturbation method and numerically by Runge-Kutta fourth order method with shooting technique. The graphs illustrating the effects of various parameters involved in the problem on the flow as well as average velocity and Nusselt number are presented and discussed. It is found that the effect of negative electric field load parameter is to aid the flow while the effect of positive electric field load parameter is to oppose the flow as compared to the case of short circuit. The analytical and numerical solutions agree very well for small values of perturbation parameter.",
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AU - Umavathi, J. C.

AU - Sheremet, M. A.

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N2 - A numerical study of steady, mixed convection of electrically conducting fluid in a vertical channel with heat source/sink is analyzed using Robin boundary conditions. The plate exchanges heat with an external fluid. Both conditions of equal and different reference temperature of the external fluid are considered. The governing equations are solved analytically using regular perturbation method and numerically by Runge-Kutta fourth order method with shooting technique. The graphs illustrating the effects of various parameters involved in the problem on the flow as well as average velocity and Nusselt number are presented and discussed. It is found that the effect of negative electric field load parameter is to aid the flow while the effect of positive electric field load parameter is to oppose the flow as compared to the case of short circuit. The analytical and numerical solutions agree very well for small values of perturbation parameter.

AB - A numerical study of steady, mixed convection of electrically conducting fluid in a vertical channel with heat source/sink is analyzed using Robin boundary conditions. The plate exchanges heat with an external fluid. Both conditions of equal and different reference temperature of the external fluid are considered. The governing equations are solved analytically using regular perturbation method and numerically by Runge-Kutta fourth order method with shooting technique. The graphs illustrating the effects of various parameters involved in the problem on the flow as well as average velocity and Nusselt number are presented and discussed. It is found that the effect of negative electric field load parameter is to aid the flow while the effect of positive electric field load parameter is to oppose the flow as compared to the case of short circuit. The analytical and numerical solutions agree very well for small values of perturbation parameter.

KW - Electric field load parameter

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KW - Mixed convection

KW - Robin boundary conditions

KW - Runge-Kutta Shooting method

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