
Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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![Question 2.
In a particular fluid flow, the Eulerian velocity is given by
u=
(- x², 3xy, (3y - 1)xz)
[Hint: You will need to use the Chain Rule; for instance
др
dp მs
ar
ds ar
€²) e ³.
=
Show that this velocity u represents a flow of an incompressible fluid. Show
also that, in this flow u, a density field of the form p= f(s), where s =
x³ y,
is constant for a material (i.e. fluid) particle, for any function f(s).
.]
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Transcribed Image Text:Question 2.
In a particular fluid flow, the Eulerian velocity is given by
u=
(- x², 3xy, (3y - 1)xz)
[Hint: You will need to use the Chain Rule; for instance
др
dp მs
ar
ds ar
€²) e ³.
=
Show that this velocity u represents a flow of an incompressible fluid. Show
also that, in this flow u, a density field of the form p= f(s), where s =
x³ y,
is constant for a material (i.e. fluid) particle, for any function f(s).
.]
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minutes
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- In each image comes the problemarrow_forwardHomework What is the third velocity component such that continuity equation is satisfied if two components are u = 1. 2y2, w = 2хyz ? 2. Consider the following steady, two-dimensional, incompressible velocity field V = (Ax? + B)i + (-Ay + Cx²)j where A, B, and C are constants. Calculate the pressure as a function of x and y.arrow_forward
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