Referring to Figure 10.12, when a throttle plate rotates in a circular plenum, its effective blocking area

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Referring to Figure 10.12, when a throttle plate rotates in a circular plenum, its effective blocking area is πab where a, b are the principal axes of an ellipse. Show that

 AA 1- cos0 A


where A is the fully open area of the pipe and △A is the open area when the plate has been turned through an angle θ.


Figure 10.12

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Exploring Engineering An Introduction to Engineering and Design

ISBN: 978-0123747235

2nd edition

Authors: Philip Kosky, George Wise, Robert Balmer, William Keat

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