# Richardson number

(Difference between revisions)
 Revision as of 18:07, 20 September 2005 (view source)← Older edit Latest revision as of 15:37, 16 January 2008 (view source)Jmortizz (Talk | contribs) Line 11: Line 11: Here $\rho_0$ is the reference density and $\bar{\rho}$ is the background density field. Here $\rho_0$ is the reference density and $\bar{\rho}$ is the background density field. + + ==References== + + *{{reference-book |author=Hunt, J C R | year=1998 | title= Lewis Fry Richardson and his contributions to mathematics, meteorology, and models of conflict| rest =Annual Review of Fluid Mechanics, Vol. 30, 1998, pp. xiii–xxxvi}}

## Latest revision as of 15:37, 16 January 2008

In the stability of continuously stratified parallel shear flows the ratio of (the squares of) the buoyancy frequency to the background velocity gradient is known as the (gradient) Richardson number.

$Ri = \frac{N^2}{U_z^2}$

$N = \mbox{Buoyancy frequncy} = -\frac{g}{\rho_0} \frac{\partial \bar{\rho}}{\partial z}$

Here $\rho_0$ is the reference density and $\bar{\rho}$ is the background density field.

## References

• Hunt, J C R (1998), Lewis Fry Richardson and his contributions to mathematics, meteorology, and models of conflict, Annual Review of Fluid Mechanics, Vol. 30, 1998, pp. xiii–xxxvi.