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Forced convective heat transfer in a magnetohydrodynamic channel with Hall and ion slip currents

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Abstract

The present analysis is made to investigate the effects of the ion slip currents on steady state heat transfer in a MHD channel whose walls are kept at an uniform temperature. The problem is solved analytically. The numerical values of heat transfer coefficients are presented for different values of the parameters for the generator mode, the accelerator mode and the open circuit conditions. It is found that the influence of ion slip currents on heat transfer coefficients increases for the accelerator mode.

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Abbreviations

B 0 :

applied magnetic field

E :

electric field

Ec :

Eckert number

Ha :

Hartmann number

J :

current

K :

thermal conductivity

Nu :

Nusselt number

P :

pressure

Pe :

Peclet number

Pr :

Prandtl number

T :

temperature

C p :

specific heat at constant pressure

2h :

height of the channel

u, v :

components of velocity

u m :

average velocity, \(\int\limits_{ - 1}^1 {{\text{ }}u} {\text{ }}d\eta\)

x, y, z :

Cartesian co-ordinates

ρ :

density

σ :

electrical conductivity

η′:

dynamic viscosity

β e :

Hall parameter=ω eτe

β i :

ion slip parameter=ω iτi

ω :

cyclotron frequency

τ :

collision time

λ :

eigen value of the problem

x, y :

Cartesian co-ordinate direction

w :

wall

e :

electron

i :

ion

o :

reference condition

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology, 400 076, Powai, Bombay, India

    A. N. Bhat & M. L. Mittal

Authors
  1. A. N. Bhat
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  2. M. L. Mittal
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Bhat, A.N., Mittal, M.L. Forced convective heat transfer in a magnetohydrodynamic channel with Hall and ion slip currents. Appl. Sci. Res. 35, 251–264 (1979). https://doi.org/10.1007/BF00418216

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  • DOI: https://doi.org/10.1007/BF00418216

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