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 .

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.3P: Evaluate the Nusselt number for flow over a sphere for the following conditions: D=0.15m,k=0.2W/mK,...
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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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