Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN: 9781305084766
Author: Saeed Moaveni
Publisher: Cengage Learning
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fluid mechanics

2. A useful theoretical equation for computing the relation between pressure, velocity, and the altitude in
a steady flow of nearly in-viscid , nearly incompressible fluid is the Bernoulli relation, named after
Daniel Bernoulli, who published a hydrodynamics textbook in 1738:
1
pV² +pg Z
P.
+
Where:
P, = stagnation pressure, p = pressure in moving fluid ,V = velocity, p = density, Z = altitude
g = gravitional acceleratin
It is required to confirm that this equation satisfies the principle of dimensional homogeneity, which states
that all additive terms in a physical equation must have the same dimensions.
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Transcribed Image Text:2. A useful theoretical equation for computing the relation between pressure, velocity, and the altitude in a steady flow of nearly in-viscid , nearly incompressible fluid is the Bernoulli relation, named after Daniel Bernoulli, who published a hydrodynamics textbook in 1738: 1 pV² +pg Z P. + Where: P, = stagnation pressure, p = pressure in moving fluid ,V = velocity, p = density, Z = altitude g = gravitional acceleratin It is required to confirm that this equation satisfies the principle of dimensional homogeneity, which states that all additive terms in a physical equation must have the same dimensions.
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