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# The flow in the impeller of a centrifugal pump is modeled bythe superposition of a

ISBN: 9781119080701 456

## Solution for problem 6.54 Chapter 6.6

Fundamentals of Fluid Mechanics | 8th Edition

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Problem 6.54

The flow in the impeller of a centrifugal pump is modeled bythe superposition of a source and a free vortex. The impeller has anouter diameter of 0.5 m and an inner diameter of 0.3 m. At theoutlet from the impeller, the flowing water has the following velocitycomponents, relative to the impeller: radial component 2 m/sand tangential component 7 m/s.(a) Find the strength of the source and the vortex required to modelthis flow.(b) Assume that the impeller blades are shaped like the streamlinesand plot an impeller blade shape.(c) Find the radial and tangential components of velocity at theinlet to the impeller.

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