Question #225842

Water discharge through a pipe of length 50m and diameter 0.5m at 3m3 /s. For this flow, f = 0.025 . Determine the head loss through the model pipe for a scale ratio of 1:10.

Expert's answer

"h_L = (f\\dfrac{L}{d}+ \\Sigma K_L)\\dfrac{v\u00b2}{2g}"

"v = \\dfrac{V}{A} =\\dfrac{3}{\u03c0(0.5\u00b2)\/4}= 15.28m\/s"

"h_L = (0.025(\\dfrac{50}{0.5}) +\\dfrac{1}{10}(50))\\dfrac{15.28\u00b2}{2\u00d79.8}"

"=89.34m"

"\\therefore" The head loss through the pipe is 89.34m

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