Line sink flow in a stratified stream

Line sink flow in a linearly stratified stream, bounded by the top and bottom two horizontal boundaries, is investigated on the basis of the Euler set of equations. The initial-value problem after start-up of discharge is solved numerically, and propagation of internal wave modes generated by the discharge and steady-state withdrawal-layer thickness are investigated. It is found that both flow patterns and withdrawal-layer thickness are largely influenced by the uniform flow velocity. Especially, steady-state withdrawal-layer thickness changes abruptly as a function of the uniform-stream velocity due to propagation upstream of the internal wave modes.