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Discharge from a thick-edged orifice

Discharge from a thick-edged orifice d d o t
Discharge from a thick-edged orifice

Values for calculation

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

Calculation

Diameter ratio

$$β=\cfrac{d_o}{d}$$

Jet contraction ratio

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

Coefficient $ C_{th} $

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

Loss coefficient

$$ζ=0.0696\cdot\left(1-β^5\right)\cdot λ^2+C_{th}\cdot λ^2+\left(1-C_{th}\right)\cdot\left[\left(λ-1\right)^2+1\right]$$

Discharge coefficient

$$μ=\cfrac{1}{\sqrt{ζ+1}}$$