Question

A 1:25 scale model is used to study an open-channel that is on average 100 m...

A 1:25 scale model is used to study an open-channel that is on average 100 m wide and 10 m deep. The workingfluid is same for the model and prototype.

Re=V `ν, Fr=V√g`

Determine the ratio of discharge ratesQm/Qif for the model and the prototype

(a) the Reynolds numbers are matched. What is the ratio of Froude numbers, Frm/Fr?

(b) the Froude numbers are matched. What is the ratio of Reynolds numbers, Rem/Re?

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