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Round-edged orifice

Round-edged orifice d d o r
Round-edged orifice

Values for calculation

$d$ $\mathrm{mm}$
$d_o$ $\mathrm{mm}$
$r$ $\mathrm{mm}$

Calculation

Jet contraction ratio

$$λ=1+0.622\cdot\left(1-0.3\cdot\sqrt{\cfrac{r}{d_o}}-0.7\cdot\cfrac{r}{d_o}\right)^4$$

Loss coefficient

$\text{if }\ r/d_o\geq 1$
$$ζ=0.0696\cdot\left(1-0.569\right)+\left(1-\left(\cfrac{d_o}{d}\right)^2\right)^2$$
$\text{else}$
$$ζ=0.0696\cdot\left(1-0.569\cdot\cfrac{r}{d_o}\right)\cdot λ^2+\left(λ-\left(\cfrac{d_o}{d}\right)^2\right)^2$$

Discharge coefficient

$$μ=\cfrac{1}{\sqrt{ζ+1}}$$