`Ri = (g* beta ( T_(hot) - T_(ref) )L)/ V ^2`

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The Richardson Number (thermal convection) is the dimensionless number that expresses the ratio of the buoyancy term to the flow gradient term. It is of practical importance in weather forecasting and in investigating density and turbidity currents in oceans, lakes, and reservoirs. In thermal convection problems, the Richardson number represents the importance  of natural convection relative to forced convection. In this context, the Richardson number is defined as `Ri=(gbeta(T_(hot)-T_(ref))L)/V^2`, where: 

• `g` = gravitational acceleration
• `beta` = thermal expansion coefficient
• `T_(hot)` = hot wall temperature
• `T_(ref)` = reference temperature
• `L` = characteristic length
• `V` = characteristic velocity

References

Wikipedia (https://en.wikipedia.org/wiki/Richardson_number)