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

- Received:

DOI: 10.1007/BF01170840

- Cite this article as:
- Muthucumaraswamy, R. Acta Mechanica (2002) 155: 65. doi:10.1007/BF01170840

- 27 Citations
- 179 Downloads

## 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

*a*_{0}constant

*C'*concentration

*C*dimensionless concentration

*C*_{p}specific heat at constant pressure

*D*mass diffusion coefficient

*g*acceleration due to gravity

*G*_{c}mass Grashof number

*G*_{r}thermal Grashof number

*k*thermal conductivity of the fluid

*K*dimensionless chemical reaction parameter

*K*_{l}chemical reaction parameter

*P*_{r}Prandtl number

*S*_{c}Schmidt number

*T'*temperature

*T*dimensionless temperature

*u*_{w}velocity of the vertical surface

*U*dimensionless velocity component in

*X*-direction*u, v*velocity components in

*x-, y*-directions, respectively*v*_{0}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