Magnetohydrodynamic boundary layer slip flow and heat transfer of power law fluid over a flat plate

J. Hirschhorn, M. Madsen, Antonio Mastroberardino, Javed Siddique

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

In this paper, we consider the magnetohydrodynamic (MHD) boundary layer flow and heat transfer of power law fluid over a flat plate with slip boundary conditions. We use a similarity transformation to convert the governing nonlinear partial differential equations into a system of ordinary differen- tial equations and solve the resulting system numerically using MATLAB's boundary value solver, bvp4c, and the shooting method. We present velocity and temperature profiles within the bound- ary layer and demonstrate the effect of changing the magnetic parameter, Prandtl number, and slip parameters.

Original languageEnglish (US)
Pages (from-to)11-17
Number of pages7
JournalJournal of Applied Fluid Mechanics
Volume9
Issue number1
DOIs
StatePublished - Jan 1 2016

Fingerprint

slip flow
Boundary layer flow
Prandtl number
flat plates
Magnetohydrodynamics
Ordinary differential equations
magnetohydrodynamics
MATLAB
Partial differential equations
boundary layers
Boundary layers
slip
heat transfer
Boundary conditions
Heat transfer
Fluids
boundary layer flow
fluids
partial differential equations
temperature profiles

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

@article{44c70daf48864a948c14c2a4d748c252,
title = "Magnetohydrodynamic boundary layer slip flow and heat transfer of power law fluid over a flat plate",
abstract = "In this paper, we consider the magnetohydrodynamic (MHD) boundary layer flow and heat transfer of power law fluid over a flat plate with slip boundary conditions. We use a similarity transformation to convert the governing nonlinear partial differential equations into a system of ordinary differen- tial equations and solve the resulting system numerically using MATLAB's boundary value solver, bvp4c, and the shooting method. We present velocity and temperature profiles within the bound- ary layer and demonstrate the effect of changing the magnetic parameter, Prandtl number, and slip parameters.",
author = "J. Hirschhorn and M. Madsen and Antonio Mastroberardino and Javed Siddique",
year = "2016",
month = "1",
day = "1",
doi = "10.18869/acadpub.jafm.68.224.23964",
language = "English (US)",
volume = "9",
pages = "11--17",
journal = "Journal of Applied Fluid Mechanics",
issn = "1735-3572",
publisher = "Isfahan University of Technology",
number = "1",

}

Magnetohydrodynamic boundary layer slip flow and heat transfer of power law fluid over a flat plate. / Hirschhorn, J.; Madsen, M.; Mastroberardino, Antonio; Siddique, Javed.

In: Journal of Applied Fluid Mechanics, Vol. 9, No. 1, 01.01.2016, p. 11-17.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Magnetohydrodynamic boundary layer slip flow and heat transfer of power law fluid over a flat plate

AU - Hirschhorn, J.

AU - Madsen, M.

AU - Mastroberardino, Antonio

AU - Siddique, Javed

PY - 2016/1/1

Y1 - 2016/1/1

N2 - In this paper, we consider the magnetohydrodynamic (MHD) boundary layer flow and heat transfer of power law fluid over a flat plate with slip boundary conditions. We use a similarity transformation to convert the governing nonlinear partial differential equations into a system of ordinary differen- tial equations and solve the resulting system numerically using MATLAB's boundary value solver, bvp4c, and the shooting method. We present velocity and temperature profiles within the bound- ary layer and demonstrate the effect of changing the magnetic parameter, Prandtl number, and slip parameters.

AB - In this paper, we consider the magnetohydrodynamic (MHD) boundary layer flow and heat transfer of power law fluid over a flat plate with slip boundary conditions. We use a similarity transformation to convert the governing nonlinear partial differential equations into a system of ordinary differen- tial equations and solve the resulting system numerically using MATLAB's boundary value solver, bvp4c, and the shooting method. We present velocity and temperature profiles within the bound- ary layer and demonstrate the effect of changing the magnetic parameter, Prandtl number, and slip parameters.

UR - http://www.scopus.com/inward/record.url?scp=84953707151&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84953707151&partnerID=8YFLogxK

U2 - 10.18869/acadpub.jafm.68.224.23964

DO - 10.18869/acadpub.jafm.68.224.23964

M3 - Article

AN - SCOPUS:84953707151

VL - 9

SP - 11

EP - 17

JO - Journal of Applied Fluid Mechanics

JF - Journal of Applied Fluid Mechanics

SN - 1735-3572

IS - 1

ER -