Water flows inside a solid cylindrical pipe, which narrows as it goes upto a height h (see diagram below). The lower horizontal section hascircular cross-sectional diameter d, whereas the upper horizontal sectionhas diameter d/2. Let us denote A to be a point at the lower horizontalsection and B to be a point at the upper horizontal section. The flowspeed at A and B is uд and u, respectively. The pressure at A and Bis PA and PB, respectively.РАUAOom Jadd/211UBh(a) Assuming water to be incompressible, show that the flow speed atB is four times the flow speed at A.(b) Use Bernoulli's equation to find the drop in the water pressurefrom A to B. Express the result in terms of h, uд, the density ofwater p, and the acceleration of gravity g.(c) Above certain critical height h, vapour bubbles start to appear atthe top horizontal section, which hinders water flow through thepipe. Explain why this happens.

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Water flows inside a solid cylindrical pipe, which narrows as it goes up to a height h (see diagram below). The lower horizontal section has circular cross-sectional diameter d, whereas the upper horizontal section has diameter d/2. Let us denote A to be a point at the lower horizontal section and B to be a point at the upper horizontal section. The flow speed at A and B is uд and uâ, respectively. The pressure at A and B is PA and PB, respectively.

Water flows inside a solid cylindrical pipe, which narrows as it goes up to a height h (see diagram below). The lower horizontal section has circular cross-sectional diameter d, whereas the upper horizontal section has diameter d/2. Let us denote A to be a point at the lower horizontal section and B to be a point at the upper horizontal section. The flow speed at A and B is uд and uâ, respectively. The pressure at A and B is PA and PB, respectively.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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