Recall that the turbulent kinetic energy (TKE) budget may be written as where K = TKE per unit mass. For application to the upper layer in a windmixed layer model, a possible parameterization of these...

Recall that the turbulent kinetic energy (TKE) budget may be written as

where K = TKE per unit mass. For application to the upper layer in a windmixed layer model, a possible parameterization of these terms can be written as

where we is the entrainment velocity, and l are turbulent velocity and length scales, respectively, and C_T,C_S, C_T, and C_B
are coefficients. Substitute these parameterizations (watch signs) to develop a nondimensional entrainment law for (we/ ). Compare this with the “simple” model derived in Eq. (13.5.13),

In other words, under what conditions do these models have the same general form with respect to R_i?