A 90° elbow in a horizontal pipe is used to direct water flow upward at a rate of 40 kg/s. The diameter of the entire elbow is 10 cm. The elbow discharges water into the atmosphere, and thus the pressure at the exit is the local atmospheric pressure. The elevation difference between the centers of the exit and the inlet of the elbow is 50 cm. The weight of the elbow and the water in it is considered to be negligible. Determine (a) the gage pressure at the center of the inlet of the elbow and (b) the anchoring force needed to hold the elbow in place. Take the momentum-flux correction factor to be 1.03 at both the inlet and the outlet.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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A 90° elbow in a horizontal pipe is used to direct
water flow upward at a rate of 40 kg/s. The diameter of the
entire elbow is 10 cm. The elbow discharges water into the
atmosphere, and thus the pressure at the exit is the local
atmospheric pressure. The elevation difference between
the centers of the exit and the inlet of the elbow is 50 cm.
The weight of the elbow and the water in it is considered to
be negligible. Determine (a) the gage pressure at the center
of the inlet of the elbow and (b) the anchoring force needed
to hold the elbow in place. Take the momentum-flux correction
factor to be 1.03 at both the inlet and the outlet.

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