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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 ...
9.287 = 18.574 / 2 = 2.51 × 3.7. The additional equivalent forms above assume that the constants 3.7 and 2.51 in the formula at the top of this section are exact.
The Darcy-Weisbach equation can be used equivalently with either the fanning friction factor or the Darcy Weisbach friction factor, however if the fanning factor is used the diameter D in the equation must be replaced with the hydraulic radius.74.60.57.253 04:16, 4 November 2009 (UTC)
Diagram showing definitions and directions for Darcy's law. 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.
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.
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The Darcy–Weisbach equation can also be written in terms of pressure loss: ... Text is available under the Creative Commons Attribution-ShareAlike 4.0 License; ...
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