Consider a steady, two dimensional, incompressible flow of a Newtonian fluid velocity field: u = -2xy v = y² – x² a) Show that this flow model satisfies the continuity relation. b) Obtain expressions for the fluid accelerations in the x and y directions. c) Find the pressure distribution P(x, y) , if the pressure at the point x = y = 0 is Po. Neglect gravity.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Question 1
Consider a steady, two dimensional, incompressible flow of a Newtonian fluid with
velocity field:
u = -2xy
v = y² – x²
a)
Show that this flow model satisfies the continuity relation.
b)
Obtain expressions for the fluid accelerations in the x and y directions.
c)
Find the pressure distribution P(x, y), if the pressure at the point
x = y = 0 is Po. Neglect gravity.
Transcribed Image Text:Question 1 Consider a steady, two dimensional, incompressible flow of a Newtonian fluid with velocity field: u = -2xy v = y² – x² a) Show that this flow model satisfies the continuity relation. b) Obtain expressions for the fluid accelerations in the x and y directions. c) Find the pressure distribution P(x, y), if the pressure at the point x = y = 0 is Po. Neglect gravity.
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