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Heat and mass transfer in convective flow of an incompressible rarefied visco-elastic fluid in presence of transverse magnetic field

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Abstract

Analytical study is performed to examine heat and mass transfer characteristics of natural convection flow of an incompressible, rarefied visco-elastic fluid past an infinite vertical porous plate with constant suction in the presence of transverse magnetic field under combined buoyancy force effects of thermal and mass diffusion. The effects of various parameters on mean velocity and mean skin-friction are shown graphically followed by a comparative study of Newtonian and non-Newtonian (visco-elastic). rarefied states.

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Abbreviations

′u, ′v :

velocities in′x and′y axis

′x, ′y :

coordinate system

B o :

constant magnetic field

′C :

species concentration

D :

chemical molecular diffusivity

g :

acceleration due to gravity

k, ′k :

elastic parameter, thermal conductivity

L 1, L2, L3 :

dimensional velocity slip, temperature jump and concentration jump coefficients

M :

magnetic field parameter

p :

dynamic pressure

P :

Prandtl number

q :

rate of heat transfer

q 1 :

rate of mass transfer

Sc :

Schmidt number

′t :

time

′T :

temperature

v 0 :

suction velocity

w :

frequency

β:

volumetric coefficient of thermal expansion

β* :

volumetric coefficient of expansion with concentration

η0 :

viscosity

η:

dimensionless distance from the plate

θ1 :

dimensionless temperature

θ2 :

dimensionless concentration

σ:

electrical conductivity

v :

kinematic viscosity

ω:

value at the plate

∞:

value in the free stream

References

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Authors and Affiliations

  1. Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi, India

    H. L. Agrawal, R. Nath & P. C. Ram

Authors
  1. H. L. Agrawal
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  2. R. Nath
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  3. P. C. Ram
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Agrawal, H.L., Nath, R. & Ram, P.C. Heat and mass transfer in convective flow of an incompressible rarefied visco-elastic fluid in presence of transverse magnetic field. Astrophys Space Sci 95, 439–451 (1983). https://doi.org/10.1007/BF00653647

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  • DOI: https://doi.org/10.1007/BF00653647

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