MHD mixed convection boundary layer flow towards a stretching vertical surface with constant wall temperature

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

This work considers a steady two-dimensional magnetohydrodynamic (MHD) flow of a viscous, incompressible and electrically conducting fluid over a stretching vertical surface with constant wall temperature. The external flow and the stretching velocities are assumed to vary with x, where x is the distance from the slot where the surface is issued. The transformed boundary layer equations are solved numerically for some values of the related parameters, namely the magnetic parameter M, the velocity ratio parameter and the mixed convection or buoyancy parameter λ, while the Prandtl number Pr is fixed to unity, using a finite-difference scheme known as the Keller-box method. Both assisting and opposing flow cases are considered. It is found that the magnetic parameter M significantly affects the flow and the thermal fields, besides increasing the range of λ for which the solution exists. Dual solutions are found to exist for some range of the mixed convection parameter.

Original languageEnglish
Pages (from-to)5330-5334
Number of pages5
JournalInternational Journal of Heat and Mass Transfer
Volume53
Issue number23-24
DOIs
Publication statusPublished - Nov 2010

Fingerprint

Mixed convection
boundary layer flow
Boundary layer flow
wall temperature
Magnetohydrodynamics
magnetohydrodynamics
Stretching
convection
Prandtl number
Buoyancy
Boundary layers
Temperature
Fluids
boundary layer equations
conducting fluids
magnetohydrodynamic flow
buoyancy
slots
boxes
unity

Keywords

  • Boundary layer
  • Dual solutions
  • Magnetohydrodynamic
  • Mixed convection
  • Stretching surface

ASJC Scopus subject areas

  • Mechanical Engineering
  • Condensed Matter Physics
  • Fluid Flow and Transfer Processes

Cite this

@article{083e361f0ec34efbb179a4f8c9c5c4d3,
title = "MHD mixed convection boundary layer flow towards a stretching vertical surface with constant wall temperature",
abstract = "This work considers a steady two-dimensional magnetohydrodynamic (MHD) flow of a viscous, incompressible and electrically conducting fluid over a stretching vertical surface with constant wall temperature. The external flow and the stretching velocities are assumed to vary with x, where x is the distance from the slot where the surface is issued. The transformed boundary layer equations are solved numerically for some values of the related parameters, namely the magnetic parameter M, the velocity ratio parameter and the mixed convection or buoyancy parameter λ, while the Prandtl number Pr is fixed to unity, using a finite-difference scheme known as the Keller-box method. Both assisting and opposing flow cases are considered. It is found that the magnetic parameter M significantly affects the flow and the thermal fields, besides increasing the range of λ for which the solution exists. Dual solutions are found to exist for some range of the mixed convection parameter.",
keywords = "Boundary layer, Dual solutions, Magnetohydrodynamic, Mixed convection, Stretching surface",
author = "{Mohd Ishak}, Anuar and {Mohd. Nazar}, Roslinda and Ioan Pop",
year = "2010",
month = "11",
doi = "10.1016/j.ijheatmasstransfer.2010.06.053",
language = "English",
volume = "53",
pages = "5330--5334",
journal = "International Journal of Heat and Mass Transfer",
issn = "0017-9310",
publisher = "Elsevier Limited",
number = "23-24",

}

TY - JOUR

T1 - MHD mixed convection boundary layer flow towards a stretching vertical surface with constant wall temperature

AU - Mohd Ishak, Anuar

AU - Mohd. Nazar, Roslinda

AU - Pop, Ioan

PY - 2010/11

Y1 - 2010/11

N2 - This work considers a steady two-dimensional magnetohydrodynamic (MHD) flow of a viscous, incompressible and electrically conducting fluid over a stretching vertical surface with constant wall temperature. The external flow and the stretching velocities are assumed to vary with x, where x is the distance from the slot where the surface is issued. The transformed boundary layer equations are solved numerically for some values of the related parameters, namely the magnetic parameter M, the velocity ratio parameter and the mixed convection or buoyancy parameter λ, while the Prandtl number Pr is fixed to unity, using a finite-difference scheme known as the Keller-box method. Both assisting and opposing flow cases are considered. It is found that the magnetic parameter M significantly affects the flow and the thermal fields, besides increasing the range of λ for which the solution exists. Dual solutions are found to exist for some range of the mixed convection parameter.

AB - This work considers a steady two-dimensional magnetohydrodynamic (MHD) flow of a viscous, incompressible and electrically conducting fluid over a stretching vertical surface with constant wall temperature. The external flow and the stretching velocities are assumed to vary with x, where x is the distance from the slot where the surface is issued. The transformed boundary layer equations are solved numerically for some values of the related parameters, namely the magnetic parameter M, the velocity ratio parameter and the mixed convection or buoyancy parameter λ, while the Prandtl number Pr is fixed to unity, using a finite-difference scheme known as the Keller-box method. Both assisting and opposing flow cases are considered. It is found that the magnetic parameter M significantly affects the flow and the thermal fields, besides increasing the range of λ for which the solution exists. Dual solutions are found to exist for some range of the mixed convection parameter.

KW - Boundary layer

KW - Dual solutions

KW - Magnetohydrodynamic

KW - Mixed convection

KW - Stretching surface

UR - http://www.scopus.com/inward/record.url?scp=77956057498&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77956057498&partnerID=8YFLogxK

U2 - 10.1016/j.ijheatmasstransfer.2010.06.053

DO - 10.1016/j.ijheatmasstransfer.2010.06.053

M3 - Article

AN - SCOPUS:77956057498

VL - 53

SP - 5330

EP - 5334

JO - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

SN - 0017-9310

IS - 23-24

ER -