Bernoulli equation for an idealized, steady, frictionless and incompressible flow along a streamlinecan 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 theelevation. 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 anidealized fluid. Can the Bernoulli equation be rearranged so that the terms have units ofmomentum per unit volume of fluid? Identify the fluid momentum part.

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Answered: Bernoulli equation for an idealized,…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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Consider a two-dimensional flow which varies in time and is defined by the velocity field, u = 1 and v = 2yt. Given that the density of the fluid does not vary spatially and changes only with time, what differential equa9on for the density, ⍴(t), must be satisfied for this scenario to represent a physical, compressible flow field?
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