1. DERIVE EQUATION 6-15
2. DERIVE EQUATION 6-48 AND 6-54
3. SOLVE ALL PROBLEMS SHOWN BELOW:
67. Water at 20°C flows through a smooth pipe of diameter 3 cm at 30 m3/h. Assuming developed flow, estimate (a) the wall shear stress (in Pa), (b) the pressure drop (in Pa/rn), and (c) the centerline velocity in the pipe. What is the maximum flow rate for which the flow would be laminar? What flow rate would give r = 100 Pa?
69. Consider fully developed turbulent flow through a duct of square cross section. Taking advantage of the double symmetry, analyze this problem using the log-law, Eq. (6-38a), plus a suitable assumption about variation of shear stress around the cross section. Compare your result for A with the hydraulic-radii's concept.
Please see the attached file for the fully formatted problems.
Turbulent Boundary Layers, Flow Veolcity, Laminar Flow and Hydraulic Radii are investigated. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.