(i) Explain the physical meaning of Reynolds number and Froude number. (ii) A weir is an...

(i) Explain the physical meaning of Reynolds number and Froude number.

(ii) A weir is an obstruction in a channel flow which can be calibrated to measure the flow rate. The flow discharge Q varies with gravity acceleration g, weir width b into the paper, and upstream water height H above the weir crest. If it is known that Q is proportional to b, use the pi theorem to find a unique functional relationship Q(g, b, H).

(iii) A dam spillway is to be tested by using Froude scaling with a 1:30 scale model. The model flow has an average velocity of 0.6 m/s and a volume flow rate of 0.05 m3 /s. What will the velocity and flow of the prototype be? If the measured force on a certain part of the model is 1.5 N, what will the corresponding force on the prototype be?

Expert Solution

Ally Wells answered 8 months ago

(i) Explain the physical meaning of Reynolds number and Froude number. (8 marks) A weir is...

(i) Explain the physical meaning of Reynolds number and Froude number. A weir is an obstruction in a channel flow which can be calibrated to measure the flow rate. The flow discharge Q varies with gravity acceleration g, weir width b into the paper, and upstream water height H above the weir crest. If it is known that Q is proportional to b, use the pi theorem to find a unique functional relationship Q(g, b, H).

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