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Effect of radiation on hydromagnetic vertical channel flow

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Czechoslovak Journal of Physics B Aims and scope

Abstract

The effect of radiation on the combined free and forced convection flow of an electrical conducting viscous fluid through an open-ended vertical channel in slip flow regime and permeated by a constant magnetic field in transverse direction has been considered. The temperature on the walls has been supposed to vary linearly with distance. On the assumption of optically thin limit, the expressions for velocity, induced magnetic field, temperature, flow rate and the heat transfer coefficient due to thermal conduction are obtained and the influence of radiation on these solutions are shown either graphically or in tabulated forms.

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Abbreviations

x, y, z :

cartesian coordinates

v :

velocity

2L :

distance between the channel walls

B 0 :

applied magnetic field

B :

induced magnetic field

T :

temperature

p :

pressure

ϱ :

density

μ :

magnetic permeability

v :

kinematic coefficient of viscosity

σ :

conductivity of the fluid

g :

acceleration due to gravity

β :

coefficient of volume expansion

α :

thermal diffusivity of the fluid

c p :

specific heat at constant pressure

qR :

radiative heat flux

k λ :

absorption coefficient

e bλ :

Plank function

T ω0 :

reference temperature

N :

vertical temperature gradient

M= B0L[σ/(ϱv)]1/2 :

Hartmann number

R a=gβNL4/(vα):

Rayleigh number

Pm = ασμ:

magnetic Prandtl number

2d1, 2d2 :

thickness of the walls

σ1, σ2 :

conductivities of the walls

References

  1. Romig M. F.: Advances of Heat Transfer (Ed. T. F. Invine, Jr., J. P. Hartnett), Vol. 1. Academic Press, New York, 1964.

    Google Scholar 

  2. Siegel R.: Appl. Mech.25 (1958) 415.

    Google Scholar 

  3. Perlmutter M., Siegel R.: Report NASA TN D 875, August 1965.

  4. Alpher R. A.: Int. Heat & Mass Transfer3 (1961) 108.

    Google Scholar 

  5. Gershuni G. Z., Zhukhovitsky E. M.: Sov. Phys. JETP34 (1958) 461.

    Google Scholar 

  6. Yu C. P.: AIAA3 (1965) 1184.

    Google Scholar 

  7. Greif R., Habib I. S., Lin J. C.: Fluid Mech.46 (1971) 513.

    Google Scholar 

  8. Viskanta R.: Angev. Math. & Phys.14 (1965) 353.

    Google Scholar 

  9. Gupta P. S., Gupta A. S.: Int. Heat & Mass Transfer17 (1974) 1437.

    Google Scholar 

  10. Gupta M., Sharma H. C.: Indian Acad. Math.2 (1984) 160.

    Google Scholar 

  11. Soundalgekar V., Divekar V. G.: Indian J. Eng. Math.1 (1968) 73.

    Google Scholar 

  12. Cogley A. C., Vincenti W. C., Gilles S. E.: AIAA6 (1968) 551.

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Kalyani, Kalyani, West Bengal, India

    D. C. Sanyal & S. K. Samanta

Authors
  1. D. C. Sanyal
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  2. S. K. Samanta
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Sanyal, D.C., Samanta, S.K. Effect of radiation on hydromagnetic vertical channel flow. Czech J Phys 39, 384–391 (1989). https://doi.org/10.1007/BF01597797

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  • DOI: https://doi.org/10.1007/BF01597797

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