Symbol	Names
$\rho$	Density of fluid
$C_p$	Heat capacity of fluid
$\mu$	Viscosity of fluid
G	Gravitational acceleration
$\mathsf{Pr}$	Prandtl number
$\nu$	Kinematic viscosity
t	Time
$T_w$	Temperature at plate
$T_{\infty }$	Temperature at infinity
k	Thermal conductivity
${\beta }_T$	Thermal expansion
$\alpha ,\beta ,\gamma$	Fractional parameters
${\left(\rho C_p\right)}_{s_1},{\left(\rho C_p\right)}_{s_2},{\left(\rho C_p\right)}_{s_3}$	Specific heat for solid nanoparticles of type one, two, three
${\left(\rho {\beta }_T\right)}_{s_1},{\left(\rho {\beta }_T\right)}_{s_2},{\left(\rho {\beta }_T\right)}_{s_3}$	Thermal heat expansion for temperature one, two, three
${\varphi }_1,{\varphi }_2,{\varphi }_3$	Solid volume fraction of type one, two, three
a	Constant between zero and one