Magnetohydrodynamic stagnation point flow with a convective surface boundary condition

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1 Citation (Scopus)

Abstract

This study analyzes the steady laminar two-dimensional stagnation point flow and heat transfer of an incompressible viscous fluid impinging normal to a horizontal plate, with the bottom surface of the plate heated by convection from a hot fluid. A uniform magnetic field is applied in a direction normal to the flat plate, with a free stream velocity varying linearly with the distance from the stagnation point. The governing partial differential equations are first transformed into ordinary differential equations, before being solved numerically. The analysis includes the effects of the magnetic parameter, the Prandtl number, and the convective parameter on the heat transfer rate at the surface. Results showed that the heat transfer rate at the surface increases with increasing values of these quantities.

Original languageEnglish
Pages (from-to)495-499
Number of pages5
JournalZeitschrift fur Naturforschung - Section A Journal of Physical Sciences
Volume66
Issue number8-9
DOIs
Publication statusPublished - 2011

Fingerprint

Stagnation Point Flow
Magnetohydrodynamic Flow
stagnation point
Magnetohydrodynamics
magnetohydrodynamics
Heat Transfer
heat transfer
Boundary conditions
boundary conditions
Heat transfer
Stagnation Point
Fluids
free flow
Flat Plate
Prandtl number
viscous fluids
flat plates
Viscous Fluid
Ordinary differential equations
Incompressible Fluid

Keywords

  • Convective boundary condition
  • Magnetohydrodynamic
  • Stagnation point flow

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry
  • Mathematical Physics
  • Physics and Astronomy(all)

Cite this

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title = "Magnetohydrodynamic stagnation point flow with a convective surface boundary condition",
abstract = "This study analyzes the steady laminar two-dimensional stagnation point flow and heat transfer of an incompressible viscous fluid impinging normal to a horizontal plate, with the bottom surface of the plate heated by convection from a hot fluid. A uniform magnetic field is applied in a direction normal to the flat plate, with a free stream velocity varying linearly with the distance from the stagnation point. The governing partial differential equations are first transformed into ordinary differential equations, before being solved numerically. The analysis includes the effects of the magnetic parameter, the Prandtl number, and the convective parameter on the heat transfer rate at the surface. Results showed that the heat transfer rate at the surface increases with increasing values of these quantities.",
keywords = "Convective boundary condition, Magnetohydrodynamic, Stagnation point flow",
author = "Khamisah Jafar and {Mohd Ishak}, Anuar and {Mohd. Nazar}, Roslinda",
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T1 - Magnetohydrodynamic stagnation point flow with a convective surface boundary condition

AU - Jafar, Khamisah

AU - Mohd Ishak, Anuar

AU - Mohd. Nazar, Roslinda

PY - 2011

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N2 - This study analyzes the steady laminar two-dimensional stagnation point flow and heat transfer of an incompressible viscous fluid impinging normal to a horizontal plate, with the bottom surface of the plate heated by convection from a hot fluid. A uniform magnetic field is applied in a direction normal to the flat plate, with a free stream velocity varying linearly with the distance from the stagnation point. The governing partial differential equations are first transformed into ordinary differential equations, before being solved numerically. The analysis includes the effects of the magnetic parameter, the Prandtl number, and the convective parameter on the heat transfer rate at the surface. Results showed that the heat transfer rate at the surface increases with increasing values of these quantities.

AB - This study analyzes the steady laminar two-dimensional stagnation point flow and heat transfer of an incompressible viscous fluid impinging normal to a horizontal plate, with the bottom surface of the plate heated by convection from a hot fluid. A uniform magnetic field is applied in a direction normal to the flat plate, with a free stream velocity varying linearly with the distance from the stagnation point. The governing partial differential equations are first transformed into ordinary differential equations, before being solved numerically. The analysis includes the effects of the magnetic parameter, the Prandtl number, and the convective parameter on the heat transfer rate at the surface. Results showed that the heat transfer rate at the surface increases with increasing values of these quantities.

KW - Convective boundary condition

KW - Magnetohydrodynamic

KW - Stagnation point flow

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