Department of Mathematics, Bharathi Women's College, No. 34/2, Ramanujam Garden Street, Pattalam, Chennai - 600 012, India.
NomenclatureB0
magnetic field strength
C'concentration
Cdimensionless concentration
Dmass diffusion coefficient
gaccelaration due to gravity
Grthermal Grashof number
Gcmass Grashof number
Kdimensionless chemical reaction parameter
Klchemical reaction parameter
Mmagnetic field parameter
Nuxdimensionless local Nusselt number
Nudimensionless average Nusselt number
PrPrandtl number
ScSchmidt number
Shxdimensionless local Sherwood number
Shdimensionless average Sherwood number
T'temperature
Tdimensionless temperature
t'time
t'dimensionless time
u0velocity of the plate
u, vvelocity components in x, y-directions respectively
U, Vdimensionless velocity components in X, Y-directions respectively
xspatial coordinate along the plate
Xdimensionless spatial coordinate along the plate
yspatial coordinate normal to the plate
Ydimensionless spatial coordinate normal to the plate
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.
unsteady, chemical reaction, vertical plate, MHD, heat transfer