# Turbulent Boundary, Flow Veolcity, Laminar Flow & Hydraulic Radi

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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.

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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.

###### Education

- B.Com, University of Ajmer
- M.Com, University of Ajmer

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