Flow Upstream of Two-Dimensional Intakes

This study shows that the Schwarz-Christoffel transformation can be used to estimate the flow upstream of two-dimensional rectangular intakes having variable sizes and locations and for nozzle-shaped intakes. The predicted results are compared favorably with those from experiments and numerical solvers. Flow accelerates towards an intake, and identifying the flow acceleration region is important in fish entrainment studies. It is shown that flow acceleration region depends on water depth, location of intake, and intake size. The location of the peak velocity can deviate away from the centerline of the intake. For multiple intakes, it is shown that the peak velocity induced by each intake merges in a systematic manner and its final location depends on flow rates and relative distances between intakes and boundaries.