Richardson Number - thermal convection

Description

The Richardson number (Ri) is named after Lewis Fry Richardson (1881 – 1953). It is the dimensionless number that expresses the ratio of potential to kinetic energy. In certain fields the Froude number is more commonly used and is the reciprocal of the square root of the Richardson number or Ri = 1/Fr^2.
In thermal convection problems, Richardson number represents the importance of natural convection relative to the forced convection. The Richardson number in this context is defined as shown.

Related formulas

Variables

RiRichardson number (dimensionless)
gStandard gravity
βthermal expansion coefficient (1/K)
Thothot wall temperature (K)
Trefreference temperature (K)
Lcharacteristic length (m)
Vcharacteristic velocity (m/s)