x, y |
dimensional co-ordinates (m) |
u, v |
velocity components along x, y directions (m/s) |
A |
real positive constant |
B0
|
applied magnetic field (A/m) |
C |
non- dimensional fluid concentration (kg/m3) |
Cp
|
specific heat at a constant pressure (J/kg. K) |
Cw
|
the uniform concentration of the fluid at the plate (kg m−3) |
C∞
|
the concentration of the fluid far away from the plate (kg m−3) |
D |
coefficient of mass diffusivity (m2/s) |
DM
|
Chemical molecular diffusivity; m−2·s−1
|
g |
acceleration due to gravity (m s−2) |
Gr |
thermal Grashof number |
Gm |
mass Grashof number |
B |
magnetic field vector (A/m) |
E |
electric field vector (c) |
V |
velocity vector (m/s) |
Q0
|
heat source parameter |
J |
current density vector (A/m2) |
Jx, Jy
|
current densities along x and y directions |
k |
permeability of porous medium (m2) |
k1
|
thermal conductivity (W/m K) |
K |
permeability parameter |
Kc |
chemical reaction parameter (w/mk) |
Kl
|
chemical reaction rate constant |
m |
Hall parameter |
M |
Hartmann number |
N |
constant |
Nu |
local Nusselt number |
Pe
|
electron pressure (Pascal) |
Pr |
Prandtl number |
qm
|
local surface mass flux (kg s−1 m−2) |
qw
|
local surface heat flux (W m−2) |
R |
rotation parameter |
S |
second grade fluid |
Sc |
Schmidt number |
Sh |
local Sherwood number |
Q1
|
radiation absorption parameter |
t |
time (s) |
Tw
|
the uniform temperature of the fluid at the plate (K) |
T∞
|
the temperature of the fluid far away from the plate (K) |
u0
|
plate velocity (m s−1) |
w |
slip velocity (m s−1) |
w0
|
scale of suction velocity |
qr
|
radiative heat flux |
Greek symbols
|
β |
coefficient of thermal expansion of the fluid |
β* |
coefficient of mass expansion of the solid |
θ |
non-dimensional temperature (K) |
|
non-dimensional concentration (mol/m3) |
ν |
kinematic viscosity (m2/s) |
ρ |
fluid density (Kg/m3) |
σ |
electrical conductivity (S/m) |
Ω |
angular velocity (s−1) |
τw
|
local wall shear stress (pascal) |
τ |
local skin friction coefficient |
τe
|
electron collision time (s) |
ωe
|
cyclotron frequency (e/mB) |
Subscripts and superscripts
|
e |
electrons |
i |
ions |
w |
conditions on the wall |
∞ |
free stream conditions |