a	thermal diffusivity, m2/s
cp	specific heat at constant pressure, J/(kg K)
d	diameter, m
k	thermal conductivity, W/(m K)
Pr	$\mathrm{Prandtl}\mathrm{number};Pr=\frac{v}{a}=\frac{\mu c_p}{k}$
Re	Brownian motion Reynolds number; $u_{Br}={\left(\frac{2k_{B}T}{\pi {\varrho }_p{d}_p^3}\right)}^{0.5}$
Greek symbols
$\mu$	dynamic viscosity, Pa s
$\nu$	kinematic viscosity, m2/s
$\phi$	nanoparticle concentration
$\rho$	density, kg/m3
Subscripts
agg	aggregate
B	Boltzmann constant; boiling point temperature
Br	Brownian velocity
bf	base fluid
fr	freezing
m	mass
nf	nanofluid
p	particle
v	volume