Question: In studying shallow water flows, much attention was devoted to the case of transcritical flow over a topographic bump. Suppose instead that the bump is

In studying shallow water flows, much attention was devoted to the case of transcritical flow over a topographic bump. Suppose instead that the bump is replaced with a dip or depression as indicated schematically below. With reference to possible critical points (where Fr 1), hydraulic jumps, etc., describe what will happen to the flow as it moves left-to-right. Assume subcritical conditions with Fr <1 on the left-hand side. (Drawing an analogy with compressible gas flow is not required.)

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