Heat and Mass Transfer

, Volume 42, Issue 8, pp 671–677

Steady nonlinear hydromagnetic flow and heat transfer over a stretching surface of variable temperature

Original

DOI: 10.1007/s00231-005-0640-y

Cite this article as:
Anjali Devi, S.P. & Thiyagarajan, M. Heat Mass Transfer (2006) 42: 671. doi:10.1007/s00231-005-0640-y

Abstract

The steady nonlinear hydromagnetic flow of an incompressible, viscous and electrically conducting fluid with heat transfer over a surface of variable temperature stretching with a power-law velocity in the presence of variable transverse magnetic field is analysed. Utilizing similarity transformation, governing nonlinear partial differential equations are transformed to nonlinear ordinary differential equations and they are numerically solved using fourth-order Runge–Kutta shooting method. Numerical solutions are illustrated graphically by means of graphs. The effects of magnetic field, stretching parameter and Prandtl number on velocity, skin friction, temperature distribution and rate of heat transfer are discussed.

List of symbols

B(x)

Magnetic field

u,v

Velocity components in the x and y directions

ν

Kinematic Coefficient of viscosity

μ

Coefficient of viscosity

σ

Electrical conductivity

K

Thermal conductivity

ρ

Density of the fluid

Cp

Specific heat at constant pressure

a,b

Dimensional constants

m

Index of power-law velocity

n

Index of power-law variation of wall temperature

T

Temperature of the fluid

Tw

Wall temperature

T

Temperature of the fluid at infinity

ψ

Stream function

η

Similarity variable

θ

Dimensionless temperature

β

Stretching parameter

M2

Magnetic interaction parameter

Pr

Prandtl number

Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  1. 1.Department of MathematicsBharathiar UniversityCoimbatoreIndia
  2. 2.Department of MathematicsPark College of Engineering and TechnologyCoimbatoreIndia