Nomenclature

Greek Symbols

$B_o$

Magnetic field intensity

$\sigma$

Electric conductivity

$C_p$

Specific Heat at constant pressure [J/kg∙K]

${\sigma }^{*}$

Stefan-Boltzmann constant

$C_f$

Skin Friction coefficient

$k^{*}$

Mean absorption coefficient

f

Dimensionless Stream function

$\beta$

Velocity slip parameter

$f^{\prime }$

Dimensionless velocity

$\gamma$

Dimensionless distance

$q_r$

Radiative heat flux

$\phi$

Volume fraction of ferrofluid

R

Radiation parameter

$\eta$

Similarity variable

k

Thermal conductivity [W/m∙K]

$\theta$

Dimensionless temperature

Pr

Prandtl number

$\mu$

Absolute viscosity [N∙s/m²]

M

Magnetic parameter

$\nu$

Kinematic viscosity [m²/s]

a

Biot number

$\rho$

Fluid density [kg/m³]

$R{e}_x$

Local Reynolds number

$\rho C_p$

Heat capacity [kg/m³∙K)]

$q_w$

Wall heat flux [W/m²]

$\psi$

Stream Function

$N{u}_x$

Local Nusselt number

$\alpha$

Thermal conductivity [m²/s]

$U_{\infty }$

Free stream velocity [m/s]

Subscripts

u, v

Velocity components in the x, y directions [m/s]

nf

Nanofluid

x, y

Distance along and normal to the plate [m]

f

Base fluid

T

Local fluid Temperature [K]

s

Solid ferroparticles

$T_{\infty }$

Temperature of the ambient fluid [K]

n, j

Sequence of numbers that indicate the $x,\eta$

$T_w$

Temperature at the surface of the plate [K]

coordinate location

t

Time [s]

$h_f$

Convective heat transfer coefficient [W/m²∙K]