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Round-edged orifice in a transition section

Round-edged orifice in a transition section d 1 d o d 2 r
Round-edged orifice in a transition section

Values for calculation

d_1 \mathrm{mm}
d_2 \mathrm{mm}
d_o \mathrm{mm}
r \mathrm{mm}

Calculation

Diameter ratio

β=\cfrac{d_o}{d_1}

Jet contraction ratio

λ=1+0.622\cdot\left(1-0.3\cdot\sqrt{\cfrac{r}{d_o}}-0.7\cdot\sqrt{\cfrac{r}{d_o}}\right)^4\cdot\left(1-0.215\cdot β^2-0.785\cdot β^5\right)

Loss coefficient

ζ=0.0696\cdot\left(1-0.569\cdot\cfrac{r}{d_o}\right)\cdot\left(1-\sqrt{\cfrac{r}{d_o}}\cdot β\right)\cdot\left(1-β^5\right)\cdot λ^2+\left(λ-\left(\cfrac{d_o}{d_2}\right)^2\right)^2

Discharge coefficient

μ=\cfrac{1}{\sqrt{ζ+1}}