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A useful theoretical equation for computing the relation between pressure, velocity, and the altitude 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 P. = p + pV? +pg Z Where: P. = stagnation pressure, p = pressure in moving fluid ,V = velocity, p = density, Z = altitude g = gravitional acceleratin

A useful theoretical equation for computing the relation between pressure, velocity, and the altitude 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 P. = p + pV? +pg Z Where: P. = stagnation pressure, p = pressure in moving fluid ,V = velocity, p = density, Z = altitude g = gravitional acceleratin

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:Saeed Moaveni
Chapter6: Fundamental Dimensions And Units
Section: Chapter Questions
Problem 25P
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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.
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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