A fluid is flowing along a cylindrical pipe of radius a in


Qusetion: A fluid is flowing along a cylindrical pipe of radius a in the i direction. The velocity of the fluid at a radial distance r from the center of the pipe is v = u(1-r2/a2)i .

(a) What is the significance of the constant u?

(b) What is the velocity of the fluid at the wall of the pipe?

(c) Find the flux through a circular cross-section of the pipe.

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Mathematics: A fluid is flowing along a cylindrical pipe of radius a in
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