Consider a steady, two-dimensional, incompressible fl owof a newtonian fl uid in which the velocity fi eld isknown: u = - 2 xy , υ = y 2 - x 2 , w = 0. ( a ) Does thisfl ow satisfy conservation of mass? ( b ) Find the pressurefi eld, p ( x , y ) if the pressure at the point ( x = 0, y = 0) isequal to p a .

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 steady, two-dimensional, incompressible fl ow
of a newtonian fl uid in which the velocity fi eld is
known: u = - 2 xy , υ = y 2 - x 2 , w = 0. ( a ) Does this
fl ow satisfy conservation of mass? ( b ) Find the pressure
fi eld, p ( x , y ) if the pressure at the point ( x = 0, y = 0) is
equal to p a .

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