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Question 11.7: In the Poiseuille flow of a constant density, constant viscos...

In the Poiseuille flow of a constant density, constant viscosity fluid in a round pipe, (Figure 11.6), the velocity field is given in cylindrical coordinates by u= vrer + vθeθ + vzez with components  vr = 0, vθ = 0, and vz(r) = {[R^2_P (p1 − p2)]/4µL}[1−( r/R_P )²]. Find the pressure distribution in this flow if body forces are neglected.

11.6
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