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### flux Richardson number

A dimensionless number expressing the ratio of turbulent energy lost to buoyant forces to the energy gained by eddy stress acting on the mean shear. It is the crucial nondimensional number for turbulence in stratified, shearing flow and can be expressed in a couple of different ways by

./math/texvc '/var/www/htdocs/www/newtermwiki/cache/math' '/var/www/htdocs/www/newtermwiki/cache/math' ' Rf = frac{K_h}{K_m}Ri = frac{K_m}{ku_*L} ' 'utf-8' math_unknown_error

where KHand KMare eddy viscosity or vertical transport coefficients for heat and momentum, respectively, Ri the gradient Richardson number, u∗ the friction velocity, k is von Karman’s constant, and L a length scale. The definition of this is different than that for the overall and gradient Richardson numbers.

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