Mathematical Modeling of Turbulent Layer Penetration in a Stratified Fluid

The characteristic example of flow, vertical turbulent exchange in which plays the key role, is the flow arising in the case of the penetration of a fluid turbulized layer into a linearly stratified medium under the action of wind on the reservoir surface. Nevertheless, analysis of publications in the field of the mathematical modeling of the penetration process shows that the investigations ignored important features of the flow under consideration. With the goal of more detailed description of the vertical turbulent exchange, we involved the differential equation of transport for the dispersion of fluctuations of the vertical velocity component. A similar approach seems to be very efficient for modeling a wide class of turbulent flows in stably stratified fluids because the turbulent fluctuations of the vertical velocity component in such flows are subject to the action of the buoyancy force to a greater degree in comparison with horizontal components.