Mathematical modelling of turbulent, increasing currents

The behavior of currents undergoing acceleration is analyzed. Basic equations are derived for the main current field, the turbulence correlation, and two-dimensional boundary layer currents. The model assumptions are presented, including expressions for Reynolds stress, turbulent heat flows, and the influence of walls and free surfaces. A two-equation model for turbulent, increasing currents is proposed, including expressions for the turbulent energy and its dissipation, and a solution method and boundary conditions are stated. The application of this model is investigated, including its relevance to vertical accelerating streams in a homogeneous environment and in a stable layered environment, horizontal surface flows, vertical mixing during entry into a sluice, and horizontal wake flows in a stable layered environment.