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6. A pump's power P depends on rotational spced m, 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 m/s when running at 400 rpm. Testing is to be performed on a smaller 1:4 scale model running with Q = 1.0 m³/s, using water. To obtain dynamic similarity what should be the model

6. A pump's power P depends on rotational spced m, 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 m/s when running at 400 rpm. Testing is to be performed on a smaller 1:4 scale model running with Q = 1.0 m³/s, using water. To obtain dynamic similarity what should be the model

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6. A pump's power P depends on rotational spccd m, 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 m/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. : Г аpprox. ans: (b) Фm ~ 3000 грm ; (с) P ~ 1 kW ]
Transcribed Image Text:6. A pump's power P depends on rotational spccd m, 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 m/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. : Г аpprox. ans: (b) Фm ~ 3000 грm ; (с) P ~ 1 kW ]
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