Loading [MathJax]/jax/element/mml/optable/GreekAndCoptic.js
Menu

Thick-edged orifice in a transition section

Thick-edged orifice in a transition section t d 2 d 1 d o
Thick-edged orifice in a transition section

Values for calculation

d_1 \mathrm{mm}
d_2 \mathrm{mm}
d_o \mathrm{mm}
t \mathrm{mm}
f

Calculation

Diameter ratio

β=\cfrac{d_o}{d_1}

Coefficient C_{th}

C_{th}=\left[1-0.5\cdot\left(\cfrac{t}{1.4\cdot d_o}\right)^{2.5}-0.5\cdot\left(\cfrac{t}{1.4\cdot d_o}\right)^3\right]^{4.5}

Jet contraction ratio

λ=1+0.622\cdot\left(1-0.215\cdot β^2-0.785\cdot β^5\right)

Loss coefficient

\text{if }\ t/d_o\le 1.4
ζ=0.0696\cdot\left(1-β^5\right)\cdot λ^2+C_{th}\cdot\left(λ-\left(\cfrac{d_o}{d_2}\right)^2\right)^2+\left(1-C_{th}\right)\cdot\left[\left(λ-1\right)^2+\left(1-\left(\cfrac{d_o}{d_2}\right)^2\right)^2\right]
\text{else}
ζ=0.0696\cdot\left(1-β^5\right)\cdot λ^2+\left(λ-1\right)^2+\left(1-\left(\cfrac{d_o}{d_2}\right)^2\right)^2+f\cdot\left(\cfrac{t}{d_o}-1.4\right)

Discharge coefficient

μ=\cfrac{1}{\sqrt{ζ+1}}