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Fully Developed Circular Pipe Flow
2.2.2 Ducts
2.2.2.1 Fully developed circular pipe flow
K. Gersten
A. Friction factor (Moody chart)
The flow in a straight circular pipe of constant diameter d = 2R is called fully developed if the velocity distribution u(r) and hence wall shear stress τw are independent of the streamwise coordinate x.
The pressure drop Δp between two stations of distance L is given as
\[\label{eq1} \Delta p=\hat{f}\frac{L}{d}\frac{\rho}{2}\overline{u}^2\tag{1}\]
The dimensionless value f̂ is called friction coefficient or friction factor, which is connected with the wall shear stress (see Equation 15778.49) by
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