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Zar139
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Homework Statement
I am trying to show that the pressure drag acting on a sphere is 2πμaU by integrating around the surface of the sphere where U is the speed of the fluid the sphere is in, a is its radius, and μ is the viscosity.
Homework Equations
The pressure at a given position r can be written as:
P-P0 = -1.5μUacos(Θ)/r2
The Attempt at a Solution
I have tried integrating the above equation for Θ from 0 to 2π over the surface of the sphere but my answer is 0 which is clearly not the correct answer. I feel like this should be a fairly easy integration but I do not know how else to go about it. Any suggestions would be greatly appreciated.
Thank you!