$T_{\infty }$	Ambient temperature, (K)
F	Co-efficient of inertia of porous material
N	Dust particle number constant
$\widehat{u}$	Fluid velocity components along the x-axis (m${}^2$ s${}^{-1}$)
$\widehat{v}$	Fluid velocity components along the y-axis (m${}^2$ s${}^{-1}$)
$\widehat{w}$	Fluid velocity components along the y-axis (m${}^2$ s${}^{-1}$)
$B_0$	Magnetic field strength
m	Mass of dust particle (kg)
$N{u}_x$	Nusselt number
$k^{\ast }$	Permeability of porous medium
a	positive constant
$c_p$	Specific heat capacity of the fluid (m s${}^{-2}$)
$Cp$	Specific heat and constant pressure, (J kg${}^{-1}$ K${}^{-1})$
$c_m$	Specific heat of dust particle
K	Stoke’s drag constant
T	Temperature of fluid (K)
$T_w$	Temperature at the surface, (K)
$T_p$	Temperature of the dust particle (K)
$k_f$	Thermal conductivity, (W m${}^{-1}$ K${}^{-1}$)
$\widehat{u_p},\widehat{v_p},\widehat{w_p}$	Velocity of dust particles (m${}^2$ s${}^{-1}$)
Greek
$\Omega$	Angular velocity, (s${}^{-1}$)
${\rho }_f$	Density of fluid, (kg m${}^{-3}$)
${\rho }_p$	Density of dust particles, (kg m${}^{-3}$)
${\mu }_f$	Dynamic viscosity (N s m${}^{-2}$)
${\sigma }_{nf}$	Electrical conductivity, (kg${}^{-1}$ m${}^3$ A${}^2$)
${\lambda }_1$	Heat flux relaxation time
${\nu }_{nf}$	Kinematic viscosity of nanofluid, (m${}^2$ s${}^{-1}$)
${\beta }_m$	Maxwell parameter
$\eta$	Similarity variable
${\tau }_T$	Thermal equilibrium time