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Bernoulli equation for an idealized, steady, frictionless and incompressible flow along a streamline can be stated as, + P +gz = C. p is the fluid density, p the pressure, V the speed, g the acceleration due to gravity and z the elevation. C is a constant value. (1) Show that the Bernoulli equation is dimensionally homogeneous. (2) Bernoulli equation can be considered as Newton's second law of motion generalized to an idealized fluid. Can the Bernoulli equation be rearranged so that the terms have units of momentum per unit volume of fluid? Identify the fluid momentum part.

Bernoulli equation for an idealized, steady, frictionless and incompressible flow along a streamline can be stated as, + P +gz = C. p is the fluid density, p the pressure, V the speed, g the acceleration due to gravity and z the elevation. C is a constant value. (1) Show that the Bernoulli equation is dimensionally homogeneous. (2) Bernoulli equation can be considered as Newton's second law of motion generalized to an idealized fluid. Can the Bernoulli equation be rearranged so that the terms have units of momentum per unit volume of fluid? Identify the fluid momentum part.

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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Bernoulli equation for an idealized, steady, frictionless and incompressible flow along a streamline can be stated as, + P +gz = C. p is the fluid density, p the pressure, V the speed, g the acceleration due to gravity and z the elevation. C is a constant value. (1) Show that the Bernoulli equation is dimensionally homogeneous. (2) Bernoulli equation can be considered as Newton's second law of motion generalized to an idealized fluid. Can the Bernoulli equation be rearranged so that the terms have units of momentum per unit volume of fluid? Identify the fluid momentum part.
Transcribed Image Text:Bernoulli equation for an idealized, steady, frictionless and incompressible flow along a streamline can be stated as, + P +gz = C. p is the fluid density, p the pressure, V the speed, g the acceleration due to gravity and z the elevation. C is a constant value. (1) Show that the Bernoulli equation is dimensionally homogeneous. (2) Bernoulli equation can be considered as Newton's second law of motion generalized to an idealized fluid. Can the Bernoulli equation be rearranged so that the terms have units of momentum per unit volume of fluid? Identify the fluid momentum part.
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