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Venturi tube

Venturi tube d d T l T α I α D
Venturi tube

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} $
$ \{d_T\in\mathbb{R}\mid d_T>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_T $ $ \mathrm{mm} $
$ \{f_T\in\mathbb{R}\mid f_T>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.
$ f_T $
$ \{l_T\in\mathbb{R}\mid l_T>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_T $ $ \mathrm{mm} $
$ \{f_I\in\mathbb{R}\mid f_I>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.
$ f_I $
$ \{f_D\in\mathbb{R}\mid f_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.
$ f_D $
$ \{α_I\in\mathbb{R}\mid α_I>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.
$ α_I $ $ \mathrm{°} $
$ \{α_D\in\mathbb{R}\mid α_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.
$ α_D $ $ \mathrm{°} $

Calculation

Diameter ratio

$$β=d_T/d$$
$β=d_T/d$
Equations in LaTeX code
β=d_T/d

Loss coefficient

$$ζ=\cfrac{f_I\cdot\left(1-β^4\right)}{8\cdot\sin{\left(α_I/2\right)}}+f_T\cdot\cfrac{l_T}{d_T}+8.3\cdot\left[\tan{\left(α_D/2\right)}\right]^{1.75}\cdot\left(1-β^2\right)^2+\cfrac{f_D\cdot\left(1-β^4\right)}{8\cdot\sin{\left(α_D/2\right)}}$$
$ζ=\cfrac{f_I\cdot\left(1-β^4\right)}{8\cdot\sin{\left(α_I/2\right)}}+f_T\cdot\cfrac{l_T}{d_T}+8.3\cdot\left[\tan{\left(α_D/2\right)}\right]^{1.75}\cdot\left(1-β^2\right)^2+\cfrac{f_D\cdot\left(1-β^4\right)}{8\cdot\sin{\left(α_D/2\right)}}$
Equations in LaTeX code
ζ=\cfrac{f_I\cdot\left(1-β^4\right)}{8\cdot\sin{\left(α_I/2\right)}}+f_T\cdot\cfrac{l_T}{d_T}+8.3\cdot\left[\tan{\left(α_D/2\right)}\right]^{1.75}\cdot\left(1-β^2\right)^2+\cfrac{f_D\cdot\left(1-β^4\right)}{8\cdot\sin{\left(α_D/2\right)}}

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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