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Update README.md
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aumpierre-unb committed Jul 18, 2024
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Expand Up @@ -381,7 +381,7 @@ Compute the Reynolds number *Re* and the Darcy friction factor *f* given the sam
`hQthk2fDRe` computes both the Darcy friction factor *f* and the Reynolds number *Re* given the head loss *h*, the pipe's length *L* and roughness *k*, the volumetric flow rate *Q*, the gravitational acceleration *g*, and the fluid's density *ρ* and dynamic viscosity *μ*. Replacing hydraulic diameter *D* in the Darcy-Weisbach equation by the Reynolds number *Re*,

$$
{Re^5 f}={2ghQ^3 \over\displaystyle {{\left[ {\pi \over 4} \right]}^3 {\left[ {\mu \over \rho} \right]}^5 L}}
{Re^5 f}={2ghQ^3 \over\displaystyle {\left[ {\pi \over 4} \right]^3 {\left[ {\mu \over \rho} \right]}^5 L}}
$$

Along with the Colebrook-White equation, this version of the Darcy-Weisbach equation produces a system of two equations with two variables. Solution is computed iteratively.
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