International Journal of Dynamics of Fluids
  • Year: 2010
  • Volume: 6
  • Issue: 1

Chemical Reaction Effects on Mhd Flow Past An Impulsively Started Semi-Infinite Vertical Plate

  • Author:
  • P. Chandrakala
  • Total Page Count: 13
  • Page Number: 77 to 89

Department of Mathematics, Bharathi Women's College, No. 34/2, Ramanujam Garden Street, Pattalam, Chennai - 600 012, India.

NomenclatureB0

magnetic field strength

C'

concentration

C

dimensionless concentration

D

mass diffusion coefficient

g

accelaration due to gravity

Gr

thermal Grashof number

Gc

mass Grashof number

K

dimensionless chemical reaction parameter

Kl

chemical reaction parameter

M

magnetic field parameter

Nux

dimensionless local Nusselt number

Nu

dimensionless average Nusselt number

Pr

Prandtl number

Sc

Schmidt number

Shx

dimensionless local Sherwood number

Sh

dimensionless average Sherwood number

T'

temperature

T

dimensionless temperature

t'

time

t'

dimensionless time

u0

velocity of the plate

u, v

velocity components in x, y-directions respectively

U, V

dimensionless velocity components in X, Y-directions respectively

x

spatial coordinate along the plate

X

dimensionless spatial coordinate along the plate

y

spatial coordinate normal to the plate

Y

dimensionless spatial coordinate normal to the plate

Abstract

Finite difference solution of the homogeneous first order chemical reaction on unsteady flow past an impulsively started semi-infinite vertical plate in the presence of magnetic field have been studied. The dimensionless governing equations are solved by an efficient, more accurate, unconditionally stable and fast converging implicit scheme. The effect of velocity and temperature for different parameters like chemical reaction parameter, magnetic field parameter, Schmidt number, thermal Grashof number, mass Grashof number and time are found to be in good agreement. It is observed that the velocity decreases in the presence of chemical reaction or magnetic field. It is also observed that due to the presence of first order chemical reaction, the velocity increases during the generative reaction and decreases in destructive reaction.

Keywords

unsteady, chemical reaction, vertical plate, MHD, heat transfer