Dimensionless numbers

Richardson number

The Richardson number (Ri) is named after Lewis Fry Richardson (1881–1953). It is the dimensionless number that expresses the ratio of the buoyancy term to the flow shear term: where is gravity, is density, is a representative flow speed, and is depth. The Richardson number, or one of several variants, is of practical importance in weather forecasting and in investigating density and turbidity currents in oceans, lakes, and reservoirs. When considering flows in which density differences are small (theBoussinesq approximation), it is common to use the reduced gravityg' and the relevant parameter is the densimetric Richardson number which is used frequently when considering atmospheric or oceanic flows. If the Richardson number is much less than unity, buoyancy is unimportantin the flow. If it is much greater than unity, buoyancy is dominant (inthe sense that there is insufficient kinetic energy to homogenize the fluids). If the Richardson number is of order unity, then the flow is likely tobe buoyancy-driven: the energy of the flow derives from the potential energy in the system originally. (Wikipedia).

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Flow velocity | Complex number | Kelvin–Helmholtz instability | Reynolds number