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μ is the dynamic viscosity of the fluid (Pa·s = N·s/m 2 = kg/(m·s)); Q is the volumetric flow rate, used here to measure flow instead of mean velocity according to Q = π / 4 D c 2 <v> (m 3 /s). Note that this laminar form of Darcy–Weisbach is equivalent to the Hagen–Poiseuille equation, which is analytically derived from the ...
In fluid dynamics, the Darcy friction factor formulae are equations that allow the calculation of the Darcy friction factor, a dimensionless quantity used in the Darcy–Weisbach equation, for the description of friction losses in pipe flow as well as open-channel flow.
A is the cross sectional area (m 2) of the cylinder. Q is the flow rate (m 3 /s) of the fluid flowing through the area A. The flux of fluid through A is q = Q/A. L is the length of the cylinder. Δp = p outlet - p inlet = p b - p a. = Δp/L = hydraulic gradient applied between the points a and b.
1.2.2 Static compliance ... Download as PDF; Printable version; In other projects ... The Darcy–Weisbach equation can also be written in terms of pressure loss:
It contains a part that is solidly grounded in theory (the v^2/2g term, and to a lesser extent the L/D term) and the term "semi-empirical equation" is in more common use than "phenomenological equation"Mikejens 16:06, 12 November 2008 (UTC) The Darcy–Weisbach equation is exact for laminar flow and can be derived theoretically.
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It adapts the work of Hunter Rouse [2] but uses the more practical choice of coordinates employed by R. J. S. Pigott, [3] whose work was based upon an analysis of some 10,000 experiments from various sources. [4] Measurements of fluid flow in artificially roughened pipes by J. Nikuradse [5] were at the time too recent to include in Pigott's chart.