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Effects of free convection currents and mass transfer on flow past a vertical oscillating plate

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Abstract

An exact analysis of the flow caused by an oscillating vertical plate in the presence of free-convection currents and foreign mass has been presented. Solutions have been derived by Laplace-transform technique. Velocity profiles and leading edge effects have been shown for different gases present in air. During the course of discussion, the effects of Gr (Grashof number), Gm (modified Grashof number), Sc (Schmidt number), on the flow have been discussed. It has been observed that at all small values of Sc, transition from conduction to convection exists but at large values of Sc, such a transition is not present.

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Abbreviations

C′ :

species concentration

C :

nondimensional species concentration

C′ ∞ :

species concentration in fluid far away from the plate

C′ w :

species concentration near the wall

D :

chemical molecular diffusivity

g :

acceleration due to gravity

Gr:

Grashof number

Gm:

modified Grashof number

K :

thermal conductivity

P :

Prandtl number

Sc:

Schmidt number

T′ :

temperature of the fluid

T′ w :

wall temperature

T′ ∞ :

temperature of the fluid far away from the plate time

t′ :

time

t :

dimensionless time

u′ :

velocity in thex′-direction

u :

dimensionless velocity in thex-direction

u′ o :

amplitude of the frequency

x′, y′ :

coordinate system along the vertical and normal to the plate

β:

coefficient of thermal expansion

ρ:

density of the fluid

v :

kinematic viscosity

β* :

coefficient of thermal expansion with concentration

μ:

viscosity of the fluid

θ:

dimensionless temperature of the fluid

ω:

frequency

References

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Authors and Affiliations

  1. Gulf Polytechnic, B. O. Box 32038, Isa Town, Bahrain (Arabic Gulf)

    V. M. Soundalgekar

  2. Department of Mathematics, Engineering College, Karad, India

    S. P. Akolkar

Authors
  1. V. M. Soundalgekar
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  2. S. P. Akolkar
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Soundalgekar, V.M., Akolkar, S.P. Effects of free convection currents and mass transfer on flow past a vertical oscillating plate. Astrophys Space Sci 89, 241–254 (1983). https://doi.org/10.1007/BF00655978

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  • DOI: https://doi.org/10.1007/BF00655978

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