Water Resources and Environmental Hydraulics · Environmental Hydraulics · 2 marks · Numerical answer
Two pipes A, B in series have equal length and Darcy friction factor. B has twice A’s internal diameter. Ignore minor losses. Find h_A/h_B as an integer.
The same discharge passes through both pipes. Darcy loss scales as $(L/D)v^2$,and v∝D⁻²,so loss∝D⁻⁵. Therefore $h_A/h_B=(D_B/D_A)^5=2^5=\mathbf{32}$. Considering only the explicit1/D term would miss the velocity change.
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