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Based on ASME specifications, determine the size of a
Chapter , Problem 10.22(choose chapter or problem)
Based on ASME specifications, determine the size of a square-edged orifice meter (orifice size) for measuring water flow in a 5-cm (ID) pipe for a pressure drop not to exceed 40 kPa. The maximum average velocity inside the pipe is not expected to exceed 3 mlsec. Explain all your assumptions. For the chosen orifice, answer the following questions:
(a) What is the maximum flow that can be measured with the chosen orifice?
(b) What is the expected pressure drop at \(1 / 2\) of the maximum flow?
(c) If the range of the pressure-differential meter for reasonable accuracy is 0.5-3 kPa, determine the turndown ratio (ratio of maximum to minimum value of the flowrate) of the selected size.
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QUESTION:
Based on ASME specifications, determine the size of a square-edged orifice meter (orifice size) for measuring water flow in a 5-cm (ID) pipe for a pressure drop not to exceed 40 kPa. The maximum average velocity inside the pipe is not expected to exceed 3 mlsec. Explain all your assumptions. For the chosen orifice, answer the following questions:
(a) What is the maximum flow that can be measured with the chosen orifice?
(b) What is the expected pressure drop at \(1 / 2\) of the maximum flow?
(c) If the range of the pressure-differential meter for reasonable accuracy is 0.5-3 kPa, determine the turndown ratio (ratio of maximum to minimum value of the flowrate) of the selected size.
ANSWER:Step 1 of 5
(a) The formulae for the water flow rate is given by,
\(Q_{\max }=V_{\max } A\) ..... (1)
Here
\(A=\frac{\pi d^{2}}{4}\)
Substitute 0.05 m for d and 3 m/sec for \(V_{\max }\) in equation (1).
\(\begin{aligned} Q & =V_{\max } \frac{\pi d^{2}}{4} \\ & =3\left(\frac{\pi(0.05)^{2}}{4}\right) \\ & =5.88 \times 10^{-3} \mathrm{~m} / \mathrm{s} \end{aligned}\)
Therefore the maximum flow is \(5.88 \times 10^{-3} \mathrm{~m} / \mathrm{s}\).
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