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Pipe reducer

Pipe reducer α d 2 d 1 l
Pipe reducer

Values for calculation

$d_1$ $\mathrm{mm}$
$d_2$ $\mathrm{mm}$
$l$ $\mathrm{mm}$
$f$

Calculation

Angle

$$α=2\cdot\tan^{-1}{\left(\cfrac{d_2-d_1}{1.2\cdot l}\right)}\cdot\cfrac{180}{π}$$

Diameter ratio

$$β=\cfrac{d_1}{d_2}$$

Loss coefficient

$$ζ=f\cdot\cfrac{0.2\cdot l}{d_1}+\cfrac{f\cdot\left(1-β\right)}{8\cdot\sin{\left(α/2\right)}}+f\cdot\cfrac{0.2\cdot l}{d_2}\cdot β^4$$

Discharge coefficient

$$μ=\cfrac{1}{\sqrt{ζ+1}}$$