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P Po +-+z= 2g Y V² P

P Po +-+z= 2g Y V² P

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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how would i derive this equation

Starting from a fluid element along a streamline, derive the Bernoulli equation for the steady one-dimensional flow of an incompressible, inviscid fluid: V² P Po +-+z= – 2g Y Y Where y is the fluid's specific weight, z is the elevation, V is the velocity on the center streamline in the Venturi tube, P and Po are the static and stagnation (total) pressure, respectively. Then derive the expression for the velocity V along the streamline as a function of y, P, and Po.
Transcribed Image Text:Starting from a fluid element along a streamline, derive the Bernoulli equation for the steady one-dimensional flow of an incompressible, inviscid fluid: V² P Po +-+z= – 2g Y Y Where y is the fluid's specific weight, z is the elevation, V is the velocity on the center streamline in the Venturi tube, P and Po are the static and stagnation (total) pressure, respectively. Then derive the expression for the velocity V along the streamline as a function of y, P, and Po.
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