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Flush mounted beveled entrance

Flush mounted beveled entrance d d l ψ
Flush mounted beveled entrance

Values for calculation

$ \{d\in\mathbb{R}\mid d>0\} $
This set includes all real numbers that are greater than zero. Therefore, it contains only positive numbers. Zero and negative numbers are not included in this set.
$ d $ $ \mathrm{mm} $
$ \{l\in\mathbb{R}\mid l>0\} $
This set includes all real numbers that are greater than zero. Therefore, it contains only positive numbers. Zero and negative numbers are not included in this set.
$ l $ $ \mathrm{mm} $
$ \{ψ\in\mathbb{R}\mid ψ>0\} $
This set includes all real numbers that are greater than zero. Therefore, it contains only positive numbers. Zero and negative numbers are not included in this set.
$ ψ $ $ \mathrm{°} $

Calculation

Coefficient $ C_b $

$$C_b=\left(1-\cfrac{ψ}{90}\right)\cdot\left(\cfrac{ψ}{90}\right)^{\cfrac{1}{1+l/d}}$$
$C_b=\left(1-\cfrac{ψ}{90}\right)\cdot\left(\cfrac{ψ}{90}\right)^{\cfrac{1}{1+l/d}}$
Equations in LaTeX code
C_b=\left(1-\cfrac{ψ}{90}\right)\cdot\left(\cfrac{ψ}{90}\right)^{\cfrac{1}{1+l/d}}

Jet contraction ratio

$$λ=1+0.622\cdot\left[1-1.5\cdot C_b\cdot\left(\cfrac{l}{d}\right)^{\cfrac{1-\sqrt[4]{l/d}}{2}}\right]$$
$λ=1+0.622\cdot\left[1-1.5\cdot C_b\cdot\left(\cfrac{l}{d}\right)^{\cfrac{1-\sqrt[4]{l/d}}{2}}\right]$
Equations in LaTeX code
λ=1+0.622\cdot\left[1-1.5\cdot C_b\cdot\left(\cfrac{l}{d}\right)^{\cfrac{1-\sqrt[4]{l/d}}{2}}\right]

Loss coefficient

$$ζ=0.0696\cdot\left(1-C_b\cdot\cfrac{l}{d}\right)\cdot λ^2+\left(λ-1\right)^2$$
$ζ=0.0696\cdot\left(1-C_b\cdot\cfrac{l}{d}\right)\cdot λ^2+\left(λ-1\right)^2$
Equations in LaTeX code
ζ=0.0696\cdot\left(1-C_b\cdot\cfrac{l}{d}\right)\cdot λ^2+\left(λ-1\right)^2

Discharge coefficient

$$μ=\cfrac{1}{\sqrt{ζ+1}}$$
$μ=\cfrac{1}{\sqrt{ζ+1}}$
Equations in LaTeX code
μ=\cfrac{1}{\sqrt{ζ+1}}
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