6. A pump's power P depends on rotational speed o, flow rate Q, fluid density p, and impeller diameter D. (a) Using repeating variables p,Q,D find dimensionless groups relating power to rotational speed. (b) An oil (SG = 1.5) pump is to be designed to move 10 m³/s when running at 400 rpm. Testing is to be performed on a smaller 1:4 scale model running with Q= 1.0 m/s, using water. To obtain dynamic similarity what should be the model rotational speed (rpm) ?; (c) If the small water model draws 200 W of power what will be the power requirement of the oil pump? Watch units. : [ approx. ans: (b) @m ~ 3000 rpm ; (c) P ~ 1 kW ]

6. A pump's power P depends on rotational speed o, flow rate Q, fluid density p, and impeller diameter D. (a) Using repeating variables p,Q,D find dimensionless groups relating power to rotational speed. (b) An oil (SG = 1.5) pump is to be designed to move 10 m³/s when running at 400 rpm. Testing is to be performed on a smaller 1:4 scale model running with Q= 1.0 m/s, using water. To obtain dynamic similarity what should be the model rotational speed (rpm) ?; (c) If the small water model draws 200 W of power what will be the power requirement of the oil pump? Watch units. : [ approx. ans: (b) @m ~ 3000 rpm ; (c) P ~ 1 kW ]

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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