List of variables	Description	S.I. Units
$a$	Constants	$\left({\mathrm{s}}^{-1}\right)$
$B_0$	Strength of uniform magnetic field	$\left(\mathrm{T}\mathrm{e}\mathrm{s}\mathrm{l}\mathrm{a}\right)$
$Bi$	Biot number	$\left(-\right)$
b	Constant	$\left({\mathrm{s}}^{-1}\right)$
$C_P$	Specific heat at constant Pressure	$\left(\mathrm{J}\mathrm{k}{\mathrm{g}}^{-1}{\mathrm{K}}^{-1}\right)$
$d\hspace{0.17em}\&\hspace{0.17em}c$	Stretching/shrinking parameter along x and y axis	$\left(-\right)$
$D{a}^{-1}$	Inverse Darcy number	$\left(-\right)$
$f$	Non dimensional transverse velocity	$\left(-\right)$
$g$	Non dimensional velocity	$\left(-\right)$
$f_{\eta }$	Non dimensional Tangential velocity	$\left(-\right)$
$k$	Material constant	$\left(\mathrm{W}/\mathrm{m}\mathrm{K}\right)$
$h$	Heat transfer coefficient	$\left(-\right)$
$k$	Material constant	$\left(\mathrm{W}/\mathrm{m}\mathrm{K}\right)$
$k^{*}$	Coefficient of mean absorption	$\left({\mathrm{m}}^{-2}\right)$
$K$	Permeability of porous medium	$\left({\mathrm{m}}^2\right)$
$L$	Coefficient of first order slip	$\left(-\right)$
$l$	Characteristic length	$\left(-\right)$
M	Hartman number	$\left(-\right)$
$\mathrm{Pr}$	Prandtl number	$\left(-\right)$
$q_r$	Radiative heat flux	$\left(-\right)$
$q_w$	Local heat flux	$\left(\mathrm{W}{\mathrm{m}}^{-2}\right)$
$R$	Radiation parameter	$\left(-\right)$
$V_c$	Mass transpiration	$\left(-\right)$
$T_{\infty }$	Far field temperature	$\left(\mathrm{K}\right)$
$T_w$	Wall temperature	$\left(\mathrm{K}\right)$
T	Temperature	$\left(\mathrm{K}\right)$
$\left(u,v,w\right)$	Velocities along x, y, and z direction, respectively	$\left(\mathrm{m}{\mathrm{s}}^{-1}\right)$
$\left(x,y,z\right)$	Cartesian coordinates	$\left(\mathrm{m}\right)$
$w_0$	Wall transpiration	$\left(\mathrm{m}{\mathrm{s}}^{-1}\right)$
Greek symbols
$\beta$	Dimensionless viscoelastic parameter	$\left(-\right)$
$\lambda$	Solution domain	$\left(-\right)$
$\eta$	Similarity variable	$\left(-\right)$
$\gamma$	Porosity parameter	$\left(-\right)$
${\gamma }_0$	Porosity	$\left(-\right)$
$\mu$	Dynamic viscosity	$\left({\mathrm{m}}^{-1}{\mathrm{s}}^{-1}\right)$
$\nu$	Kinematic viscosity	$\left({\mathrm{m}}^2{\mathrm{s}}^{-1}\right)$
$\kappa$	Thermal conductivity	$\left(\mathrm{W}{\mathrm{m}}^{-1}{\mathrm{K}}^{-1}\right)$
$\rho$	Fluid density	$\left(\mathrm{k}\mathrm{g}{\mathrm{m}}^{-3}\right)$
$\theta$	Dimensionless temperature	$\left(-\right)$
$\sigma$	Electric conductivity	$\left(\mathrm{S}{\mathrm{m}}^{-1}\right)$
${\sigma }^{*}$	Stefan–Boltzmann constant	$\left(\mathrm{W}{\mathrm{m}}^{-2}{\mathrm{K}}^{-4}\right)$
$\mathrm{\Gamma }\left(a,z\right)$	Incomplete gamma function	$\left(-\right)$
$\mathrm{\Gamma }$	Special constant used in the problem	$\left(-\right)$
Subscripts
$w$	Wall condition	$\left(-\right)$
$\infty$	Free stream condition	$\left(-\right)$
$\eta$	$\mathrm{Differentiation} \mathrm{with} \mathrm{respect} \mathrm{to} \eta$	$\left(-\right)$
Abbreviations
MHD	Magneto hydrodynamics	$\left(-\right)$
ODEs	Ordinary differential equations	$\left(-\right)$
PDEs	Partial differential equations	$\left(-\right)$