Acta Mechanica

, Volume 155, Issue 1–2, pp 65–70

Effects of a chemical reaction on a moving isothermal vertical surface with suction

  • R. Muthucumaraswamy
Original Papers

Summary

Heat and mass transfer effects on a continuously moving isothermal vertical surface with uniform suction are presented here, taking into account the homogeneous chemical reaction of first order. The velocity and the concentration profiles are studied for different parameters like Schmidt number, Prandtl number and Chemical reaction parameter. It is observed that the velocity and concentration increase during the generative reaction and decrease in the destructive reaction.

List of symbols

a0

constant

C'

concentration

C

dimensionless concentration

Cp

specific heat at constant pressure

D

mass diffusion coefficient

g

acceleration due to gravity

Gc

mass Grashof number

Gr

thermal Grashof number

k

thermal conductivity of the fluid

K

dimensionless chemical reaction parameter

Kl

chemical reaction parameter

Pr

Prandtl number

Sc

Schmidt number

T'

temperature

T

dimensionless temperature

uw

velocity of the vertical surface

U

dimensionless velocity component inX-direction

u, v

velocity components inx-, y-directions, respectively

v0

suction velocity

x

spatial coordinate along the surface

Y

dimensionless spatial coordinate normal to the surface

y

spatial coordinate normal to the surface

Greek symbols

α

thermal diffusity

β

volumetric coefficient of thermal expansion

β*

volumetric coefficient of expansion with concentration

μ

coefficient of viscosity

ν

kinematic viscosity

ρ

density of the fluid

τ'

skin friction

τ

dimensionless skin friction

Subscripts

ω

conditions on the wall

free stream conditions

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References

  1. [1]
    Cussler, E. L.: Diffusion mass transfer in fluid systems, 2nd ed. Cambridge: University Press 1998.Google Scholar
  2. [2]
    Chambre, P. L., Young, J. D.: On the diffusion of a chemically reactive species in a laminar boundary layer flow. Phys. Fluids1, 48–54 (1958).Google Scholar
  3. [3]
    Vajravelu, K.: Hydromagnetic flow and heat transfer over a continuous, moving, porous, flat surface. Acta Mech.64, 179–185 (1958).Google Scholar
  4. [4]
    Vajravelu, K.: Hydromagnetic convection at a continuous moving surface. Acta Mech.72, 223–232 (1988).Google Scholar
  5. [5]
    Das, U. N., Deka, R. K., Soundalgekar, V. M.: Effects of mass transfer on flow past an impulsively started infinite vertical plate with constant heat flux and chemical reaction. Forschung im Ingenieurwesen60, 284–287 (1994).Google Scholar
  6. [6]
    Schlichting, H.: Boundary layer theory, 6th ed. New York: McGraw-Hill 1968.Google Scholar

Copyright information

© Springer-Verlag 2002

Authors and Affiliations

  • R. Muthucumaraswamy
    • 1
  1. 1.Department of Mathematics and Computer ApplicationsSri Venkateswara College of EngineeringSriperumbudurIndia

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