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 ]

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter5: Analysis Of Convection Heat Transfer

Section: Chapter Questions

Problem 5.8P

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Concept explainers

Types of loading

In mechanical terminology, the term load indicates that external force/weight, either constant or variable, acts on a mechanical member/structure. The weight of an object of a specific material is also an external load, and the external force that works on a structure comes under the categories of loading. The external load generates its effects as stress and strain in the structure.

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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 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) Om
3000 rpm ; (c) P ~ 1 kW ]

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