Velocity distribution in turbulent pipe flow water is flowing through a long, straight, level run of smooth

Question:

Velocity distribution in turbulent pipe flow water is flowing through a long, straight, level run of smooth 6.00 in. i.d. pipe, at a temperature of 68^oF. The pressure gradient length of the pipe is 1.0 psi/mi.

(a) Determine the wall shear stress τ₀ in psi (lb_f/in.²) and Pa.

(b) Assume the flow to be turbulent and determine the radial distances from the pipe wall at which v_z/v_zmax = 0.0, 0.1, 0.2, 0.4, 0.7, 0.85, 1.0.

(d) Is the assumption of turbulent flow justified?

(e) What is the mass flow rate?

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