1.4.3 Stationary case: results

The quasi-stationary combination of of Eq. (23) and Eq. (28) gives:

Mass transport: mass loss or infall (and, in fact, horizontal laminar flow)

$$\langle \rho v_{z} \left( z \right) \rangle = \mathrm{const}$$ (33)

$$\langle \rho v_{x} \left( z \right) \rangle = \mathrm{const... ... \langle \rho v_{y} \left( z \right) \rangle = \mathrm{const}$$ (34)

Vertical momentum: turbulent, gas, radiation pressure + gravity $\rightarrow$ pressure stratification

$$\frac{\partial }{\partial z} \left( \langle \rho v_{z}v_{z}... ...{\mathrm{rad},z} \rangle \right) = - \langle \rho \rangle g$$ (35)

Energy flux: convective and radiative energy transport $\rightarrow$ temperature stratification

$$\langle \left[ \rho e_{\rm ikg}+ P \right] v_{z} \rangle + \langle F_{\mathrm{rad},z} \rangle = \mathrm{const} = F_{*}$$ (36)