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Effects of mass transfer on free convective flow of a dissipative, incompressible fluid past an infinite vertical porous plate with suction

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Abstract

An analysis of the mass transfer effects on the free convective flow of an incompressible, dissipative, viscous fluid past an infinite, vertical porous plate with constant suction, has been carried out. Approximate solutions to coupled non-linear equations governing the flow are derived. The velocity and the temperature profiles are shown graphically for air (P=0·71). The effects of Gr (Grashof number), Gc (the modified Grashof number), Sc (Schmidt number), E (Eckert number) are discussed qualitatively during the course of discussion. It is observed that due to the addition of the foreign mass, there is a rise in the velocity and a fall in the temperature. But the skin-friction increases when Sc≶1 and it decreases when Sc ∼1. The rate of heat transfer increases for Sc<1 and decreases for Sc>1.

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Abbreviations

C :

non-dimensional species concentration\(\left( {\frac{{C' - C'_\infty }}{{C'_w - C'_\infty }}} \right)\)

C p :

specific heat of the fluid at constant pressure

D :

chemical molecular diffusivity

E :

Eckert number [v 0 2/C p (T′ w −T′∞)]

g :

gravitational acceleration

Gr:

Grashof number (vgβ (T′ w −T′∞)/v 0 3)

Gc:

modified Grashof number (vgβ* (C′ w −C′∞)/v 0 3)

K :

thermal conductivity

Pr:

Prandtl number (μC p/K)

Sc:

Schmidt number (ν/D)

T :

temperature

u :

velocity component inx-direction (u′/v 0)

v 0 :

suction velocity

x :

co-ordinate axis along the plate

y :

non-dimensional co-ordinate axis normal to the plate (yv′ 0/ν)

β :

volumetric coefficient of thermal expansion

β*:

volumetric coefficient of expansion with concentration

θ :

non-dimensional temperature (T′ −T′∞/T′ w −T′∞)

μ :

viscosity of the fluid

ν :

kinematic viscosity of the fluid

ρ :

density of fluid

w :

at the surface

∞:

in the free stream

References

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology, 400076, Bombay

    V. M. Soundalgekar

Authors
  1. V. M. Soundalgekar
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Soundalgekar, V.M. Effects of mass transfer on free convective flow of a dissipative, incompressible fluid past an infinite vertical porous plate with suction. Proc. Indian Acad. Sci. 84, 194–203 (1976). https://doi.org/10.1007/BF03046837

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  • DOI: https://doi.org/10.1007/BF03046837

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