I am working on hydraulic energy storage using pumped-storage turbine energy transfer stations. and I want to calculate friction energy losses as a function of D1, D2 the diameters of the pipes and L1, L2 the lengths of the pipes to reservoirs 1 and 2 in k(m), and
Roughness coefficient of the materials used for the pipes, Q tank outlet flow rate
Dear Said Zahmoun
You can use Darcy–Weisbach equation: https://en.wikipedia.org/wiki/Darcy%E2%80%93Weisbach_equation
Regards
The best solution is to use the rational Darcy-Weisbach relation as mentioned by Andrii, where the friction coefficient f, also called the Darcy-Weisbach friction factor, could be calculated according to the Colebrook-White formula depending on the relative roughness of the pipe and the Reynolds number. You can consult any hydraulic document where you will find the calculation method. It is a trivial and classic case.
Regards
Yes, Darcy-Weisbach would be it for major friction loss. You can rewrite it simply by h(loss) = f x (L/D) x (V2/2g). V is the velocity of water in that particular pipe. For different diameters, you calculate separately, and then sum them up.
But don't forget to count for also minor friction losses due to pipe bends, fittings etc. Not difficult to find it in the internet. Google "minor friction loss in pipes." All the best.
thank you so much dear Andrii Rogovyi Bachir Achour Shaharin Anwar Sulaiman
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