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Conical contraction

Conical contraction d 2 d 2 d 1 α
Conical contraction

Values for calculation

d_1 \mathrm{mm}
d_2 \mathrm{mm}
α \mathrm{°}
f

Calculation

Diameter ratio

β=\cfrac{d_2}{d_1}

Jet contraction ratio

λ=1+0.622\cdot\left(α/180\right)^{4/5}\cdot\left(1-0.215\cdotβ^2-0.785\cdot β^5\right)

Friction loss

K_{fr2}=\cfrac{f\cdot\left(1-β^4\right)}{8\cdot\sin{\left(α/2\right)}}

Local loss

K_{com2}=0.0696\cdot\sin{\left(α/2\right)}\cdot\left(1-β^5\right)\cdot λ^2+\left(λ-1\right)^2

Loss coefficient

ζ=K_{fr2}+K_{com2}

Discharge coefficient

μ=\cfrac{1}{\sqrt{ζ+1}}