Question: Referring to Figure 10.12, when a throttle plate rotates in a circular plenum, its effective blocking area is ab where a, b are the principal

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

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

AA 1- cos0 A

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