Example Solutions Homework 11

# 2 k the formulation would appear as follows therefore

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Unformatted text preview: herefore, ∆ , , Problem: Oil with a kinematic viscosity of 4x10-6 m2/s flows through a smooth pipe 15 cm in diameter at 2 m/s. What velocity should water have at 20°C in a smooth pipe 5cm in diameter to be dynamically similar? Given: D15 = 15cm, v15 = 2m/s D5 = 5 cm Equations and Assumptions: To be dynamically similar, match Reynold's number: Re5 = Re15 Oil (20°C): viscosity, v15 = 4x10-6 m2/s Water (20°C): viscosity, v5 = 1x10-6 m2/s Solution: Re5 = Re15 v v v v v 2⁄ 15 3 . ⁄ 1 10 4 10 Problem: Given the wooden flume below, compute the area, wetted perimeter, hydraulic radius and flow if the bed slopes at 0.0015. Equations and Assumptions: → 1 2 2 →2 1 For a wooden flume, n = 0.012 Solution: 1 45° 1 2 1 2 1.4142 1 0.5 1.4142 0.5 2.83 1 0.5 0.012 2.83 0.177 0.177 0.0015 . Problem: For the cross-section below, find the critical depth if the flow the the section is 0.2m3/s and the base of the section is 2.0m. y 2.0 m Equations and Assumptions: 0.2 ⁄ 9.81 , Solution: 2.0 2.0 0.04 39.24 . ⁄ ⁄ ⁄ 0.00102 1...
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## This document was uploaded on 04/11/2014.

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