u + Math_114##Math_115##Math_116##Math_117##Math_118##Math_119##Math_120##Math_121##Math_122##Math_123##Math_124##Math_125##Math_126#

k

c p

μ

μ *

u

v

N

E

H

θ

: Velocity components in x+-direction

: Velocity components in y+- direction

: Dimensional Microrotation

: Dimensional Induced electric field

: Magnetic induction along x+- axis

: Constant magnetic induction along y+- axis

: Thermal relaxation time

: Electric permeability

: Volumetric coefficient of thermal expansion

: Temperature of the fluid

: Constant temperature near the plate

: Temperature outside of the boundary layer

: Electric conductivity

: Permeability of the porous medium

: Thermal conductivity

: Specific heat at the constant pressure

: Absolute viscosity

: Vortex viscosity

: Dimensionless velocity component in x-direction

: Dimensionless velocity component in y-direction

: Dimensionless microrotation

: Dimensionless induced electric field

: Dimensionless magnetic induction in x-direction

: Dimensionless temperature

α

g

μ 0

t +

t

Δ t

τ

ρ

υ m

j

σ

γ

G r

P r

R

K

σ

b

λ

ε 1

τ x L

τ x A

N u L Math_148##Math_149##Math_150#

: Alfven velocity

: Acceleration due to the gravity

: Magnetic permeability

Dimensional time

: Dimensionless time

: Time increment

: Maximum time

: Density of the fluid

: Magnetic diffusivity

: Microinertia density

: Electric conductivity

: Spin-gradient viscosity

: Grashof number

: Prandtl number

: Microrotation parameter

: Permeability parameter

: Dimensionless Material parameter

: Dimensionless Material parameter

: Dimensionless Material parameter

: Dimensionless Material parameter

: Local shear stress

: Average shear stress

: Local Nusselt number

: Average Nusselt number

: Local Current density

: Average Current density