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A P1 P2 U2, A2 Eddies Intense turbulence and loss of energy (a) (10 pts) Using the mass and momentum balances to show that there is an overall increase of pressure equal to P₂-P₁=pu - A A² (b) (10 pts) Use energy balance to show that the frictional dissipation is F=- 2

A P1 P2 U2, A2 Eddies Intense turbulence and loss of energy (a) (10 pts) Using the mass and momentum balances to show that there is an overall increase of pressure equal to P₂-P₁=pu - A A² (b) (10 pts) Use energy balance to show that the frictional dissipation is F=- 2

Elements Of Electromagnetics
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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Consider the following schematics for a sudden expansion in a pipe.
(a) Using the mass and momentum balances to show that there is an overall increase
of pressure equal to the equation in the image.
(b)  Use energy balance to show that the frictional dissipation is like the equation shown in the image
(c)  For a constant u1 and A1, show that the pressure rise (P2 - P1) is a maximum
when the diameter of the larger pipe is √2 times the fixed diameter of the smaller pipe,
i.e., A2 = 2A1. 

A P1 P2 U2, A2 Eddies Intense turbulence and loss of energy (a) (10 pts) Using the mass and momentum balances to show that there is an overall increase of pressure equal to P₂-P₁=pu - A A² (b) (10 pts) Use energy balance to show that the frictional dissipation is F=- 2
Transcribed Image Text:A P1 P2 U2, A2 Eddies Intense turbulence and loss of energy (a) (10 pts) Using the mass and momentum balances to show that there is an overall increase of pressure equal to P₂-P₁=pu - A A² (b) (10 pts) Use energy balance to show that the frictional dissipation is F=- 2
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