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 anincompressible, inviscid fluid:V²PPo+-+z= –2g YYWhere y is the fluid's specific weight, z is the elevation, V is the velocity on the center streamline in the Venturi tube, P andPo are the static and stagnation (total) pressure, respectively. Then derive the expression for the velocity V along thestreamline as a function of y, P, and Po.

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Answered: P Po +-+z= 2g Y V² P

Engineering

Mechanical Engineering

P Po +-+z= 2g Y V² P

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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Concept explainers

Fluid Dynamics

The study of the flow of gases and liquids, usually in and around solid surfaces, is known as fluid dynamics in physics and engineering. Fluid dynamics, for example, can be used to evaluate the movement of air through an airplane wing or the surface of a vehicle. It can also be used in ship design to increase the speed at which ships pass through water.

Question

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.

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