Semicircular orifices such as the one shown are sometimes used to measure the flow rate

Chapter 13, Problem 13.38

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Semicircular orifices such as the one shown are sometimes used to measure the flow rate of liquids that also transport sediments. The opening at the bottom of the pipe allows free passage of the sediment. Derive a formula for Q as a function of t:..p, D, and other relevant variables associated with the problem. Then, using that formula and guessing any unknown data, estimate the water discharge through such an orifice when up is read as 80 kPa and flow is in a 30-cm pipe.

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