Fluid ( = 10 2 N s /m 2 ; = 800 kg/m 3 ) flows

Fluid (μ = 10^–2 N^∙s/m²; ρ = 800 kg/m³) flows with a mean velocity of 500 mm/s in a 100 mm diameter smooth pipe. Answer the following questions relating to the given flow conditions.

a. What is the magnitude of the maximum velocity in the pipe?
b. What is the magnitude of the resistance coefficient f ?
c. What is the shear velocity?
d. What is the shear stress at a radial distance of 25 mm from the center of the pipe?
e. If the discharge is doubled, will the head loss per length of pipe also be doubled?