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7.79 (old exam problem) A small (model) pump having a diameter of 8 inches is tested in a laboratory using water. When operated at an angular velocity of 40 rad/s, the pressure rise 4pm as a function of the flowrate Qm as shown in Figure P7.79. Use this curve and the similarity laws of Chapter 12 to predict the pressure rise of a larger (prototype) pump, 4pp, for a prototype flow rate of Q₁ = 6 ft³/s. The prototype pump has a diameter of 12 inches, operates at an angular velocity of 60 rad/s, and also uses water. Note: 4p can be related to pump head h, based on what you have learned in CE 311 and CE 313. 8 4pm (psi) 9 2 Ⓒ 0.5 1.0 Qm (ft³/s) Model data @0m = 40 rad/s Dm = 8 in. G 1.5 2.0 Figure P7.79

7.79 (old exam problem) A small (model) pump having a diameter of 8 inches is tested in a laboratory using water. When operated at an angular velocity of 40 rad/s, the pressure rise 4pm as a function of the flowrate Qm as shown in Figure P7.79. Use this curve and the similarity laws of Chapter 12 to predict the pressure rise of a larger (prototype) pump, 4pp, for a prototype flow rate of Q₁ = 6 ft³/s. The prototype pump has a diameter of 12 inches, operates at an angular velocity of 60 rad/s, and also uses water. Note: 4p can be related to pump head h, based on what you have learned in CE 311 and CE 313. 8 4pm (psi) 9 2 Ⓒ 0.5 1.0 Qm (ft³/s) Model data @0m = 40 rad/s Dm = 8 in. G 1.5 2.0 Figure P7.79

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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7.79 (old exam problem) A small (model) pump having a diameter of 8 inches is tested in a laboratory using water. When operated at an angular velocity of 40 rad/s, the pressure rise 4pm as a function of the flowrate Qm as shown in Figure P7.79. Use this curve and the similarity laws of Chapter 12 to predict the pressure rise of a larger (prototype) pump, App, for a prototype flow rate of Q₁ = 6 ft³/s. The prototype pump has a diameter of 12 inches, operates at an angular velocity of 60 rad/s, and also uses water. Note: Ap can be related to pump head h, based on what you have learned in CE 311 and CE 313. 8 4pm (psi) 6 पं 2 0.5 1.0 Qm (ft³/s) Model data @m= 40π rad/s Dm = 8 in. 1.5 2.0 Figure P7.79
Transcribed Image Text:7.79 (old exam problem) A small (model) pump having a diameter of 8 inches is tested in a laboratory using water. When operated at an angular velocity of 40 rad/s, the pressure rise 4pm as a function of the flowrate Qm as shown in Figure P7.79. Use this curve and the similarity laws of Chapter 12 to predict the pressure rise of a larger (prototype) pump, App, for a prototype flow rate of Q₁ = 6 ft³/s. The prototype pump has a diameter of 12 inches, operates at an angular velocity of 60 rad/s, and also uses water. Note: Ap can be related to pump head h, based on what you have learned in CE 311 and CE 313. 8 4pm (psi) 6 पं 2 0.5 1.0 Qm (ft³/s) Model data @m= 40π rad/s Dm = 8 in. 1.5 2.0 Figure P7.79
Expert Solution
Step 1

Given:

For Prototype :

Qp=6 ft3/sDp=12 in.ωp=60π rad/s

For model:

Dm=8 in.ωm=40π rad/s

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