Nomenclature

f non-dimensional steam function

g acceleration due to gravity

Gr_x Grash of number

Re_x Local Reynolds number

C_f skin friction coefficient

S_f non-dimensional velocity slip parameter

S_T non-dimensional thermal slip parameter

N₀ velocity slip factor

K₀ thermal slip factor

Nu Local Nusselt number

Pr Prandtl number

V the linear (translational) fluid velocity vector

T temperature

u, v non-dimensional velocity components along the x- and y-directions, respectively

x stream wise coordinate

y transverse coordinate

Greek symbols

thermal diffusivity

the non-Newtonian Casson parameter

W The coefficient of thermal expansion

The dimensionless transverse coordinate

Dynamic viscosity

Kinematic viscosity

Non-dimensional temperature

Density

The electrical conductivity

The dimensionless steam wise

coordinate

Dimensionless stream function

Subscripts

w conditions on the wall

free stream conditions