$
Ra=\frac{g\beta\Delta TL^3\rho}{\mu\alpha}
$
where:
- $g$ gravitational acceleration
- $\beta$ thermal expansion coefficient
- $T_\text{op}$ operating temperature
- $\Delta T$ temperature difference
- $L$ characteristic length
- $\rho$ fluid density
- $\mu$ fluid viscosity
- $\alpha$ thermal diffusivity
In natural convection:
- $Ra < 10^8$ suggests the flow is laminar
- $Ra > 10^8$ suggests the flow is turbulent