Homework 6 Fluid Mechanics CE 3502 Fall, 2008 (1) A flow through a conduit is divided into two branches as shown. A gate valve, half open is installed in line A, and a gate valve, fully open, is installed in line B. The cross-sectional area of pipe A is twice of the cross-sectional area of pipe B. The head loss due to friction in each branch is negligible compared with the head loss across the valves. Find the ratio of the velocity in line A to that in line B (include elbow losses for threaded pipe fittings.) B,LA,Lhh=. Assuming frictional losses are negligible, this means:elbow,Lhalf_gate,Lelbow,Lhalf_gate,Lh2hh2h+=+. Using table 10.5⎟⎟⎠⎞⎜⎜⎝⎛+⎟⎟⎠⎞⎜⎜⎝⎛=⎟⎟⎠⎞⎜⎜⎝⎛+⎟⎟⎠⎞⎜⎜⎝⎛g2v9.02g2v2.0g2v9.02g2v6.52B2B2A2A;520.04.72vvg2v2g2v4.7BA2B2A==⇒=(2) Estimate the additional power required for the truck shown when it is carrying the rectangular sign at a speed of 22.0 m/s over that required when it is traveling at the same speed but not carrying
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Valve, Gate valve, cross-sectional area, Fluid Mechanics CE