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

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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.

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Abbreviations

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

C p :

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

T w :

Wall temperature

T ∞ :

Temperature of the fluid at infinity

ψ:

Stream function

η:

Similarity variable

θ:

Dimensionless temperature

β:

Stretching parameter

M 2 :

Magnetic interaction parameter

P r :

Prandtl number

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Authors and Affiliations

  1. Department of Mathematics, Bharathiar University, Coimbatore, 641 046, India

    S. P. Anjali Devi

  2. Department of Mathematics, Park College of Engineering and Technology, Coimbatore, 641659, India

    M. Thiyagarajan

Authors
  1. S. P. Anjali Devi
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  2. M. Thiyagarajan
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Correspondence to S. P. Anjali Devi.

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Anjali Devi, S.P., Thiyagarajan, M. Steady nonlinear hydromagnetic flow and heat transfer over a stretching surface of variable temperature. Heat Mass Transfer 42, 671–677 (2006). https://doi.org/10.1007/s00231-005-0640-y

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  • DOI: https://doi.org/10.1007/s00231-005-0640-y

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