# 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 language English (US) 11-17 7 Journal of Applied Fluid Mechanics 9 1 https://doi.org/10.18869/acadpub.jafm.68.224.23964 Published - 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

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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.",
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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

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