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The flow characteristic (gearbox)

Values for calculation

$ \{K_{Q-valve}[1]\in\mathbb{R}\mid K_{Q-valve}[1]>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.
$ K_{Q-valve}[1] $
$ \{K_{Q-valve}[2]\in\mathbb{R}\mid K_{Q-valve}[2]>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.
$ K_{Q-valve}[2] $
$ \{K_{Q-valve}[3]\in\mathbb{R}\mid K_{Q-valve}[3]>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.
$ K_{Q-valve}[3] $
$ \{K_{Q-valve}[4]\in\mathbb{R}\mid K_{Q-valve}[4]>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.
$ K_{Q-valve}[4] $
$ \{K_{Q-valve}[5]\in\mathbb{R}\mid K_{Q-valve}[5]>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.
$ K_{Q-valve}[5] $
$ \{K_{Q-valve}[6]\in\mathbb{R}\mid K_{Q-valve}[6]>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.
$ K_{Q-valve}[6] $
$ \{K_{Q-valve}[7]\in\mathbb{R}\mid K_{Q-valve}[7]>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.
$ K_{Q-valve}[7] $
$ \{K_{Q-valve}[8]\in\mathbb{R}\mid K_{Q-valve}[8]>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.
$ K_{Q-valve}[8] $
$ \{K_{Q-valve}[9]\in\mathbb{R}\mid K_{Q-valve}[9]>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.
$ K_{Q-valve}[9] $
Stroke from open position
Angle rotation of the rocking motion
Flow coefficient
$ s $ $ β_S $ $ K_Q $
$ \mathrm{\%} $ $ \mathrm{°} $ $ \mathrm{\ } $
No data
Stroke from open position Angle rotation of the rocking motion Flow coefficient
$ s $ $ β_S $ $ K_Q $
$ \mathrm{\%} $ $ \mathrm{°} $ $ \mathrm{\ } $
No data
Unrounded data
Stroke from open position;Angle rotation of the rocking motion;Flow coefficient;
s;β_S;K_Q;
\%;°; ;

$ β_S\ [\mathrm{°}] $
No data
$ s\ [\mathrm{\%}] $
Angle rotation of the rocking motion

Stroke from open position Angle rotation of the rocking motion
$ s $ $ β_S $
$ \mathrm{\%} $ $ \mathrm{°} $
No data
Unrounded data
Stroke from open position; Angle rotation of the rocking motion;
s; β_S;
\%; °;
$$β_S=\cfrac{90}{100}\cdot s$$
$β_S=\cfrac{90}{100}\cdot s$
Equations in LaTeX code
β_S=\cfrac{90}{100}\cdot s

$ K_Q\ [-] $
No data
$ s\ [\mathrm{\%}] $
Flow coefficient

Stroke from open position Flow coefficient
$ s $ $ K_Q $
$ \mathrm{\%} $ $ \mathrm{\ } $
No data
Unrounded data
Stroke from open position; Flow coefficient;
s; K_Q;
\%; ;
$\text{if }\ s= 0$
$\text{if }\ s= 0$
Equations in LaTeX code
\text{if }\ s= 0
$$K_Q=K_{Q-valve}[1]$$
$K_Q=K_{Q-valve}[1]$
Equations in LaTeX code
K_Q=K_{Q-valve}[1]
$\text{else if }\ s= 100$
$\text{else if }\ s= 100$
Equations in LaTeX code
\text{else if }\ s= 100
$$K_Q=K_{Q-valve}[i-1]$$
$K_Q=K_{Q-valve}[i-1]$
Equations in LaTeX code
K_Q=K_{Q-valve}[i-1]
$\text{else}$
$\text{else}$
Equations in LaTeX code
\text{else}
$$K_Q=K_{Q-valve}[i-1]-\cfrac{K_{Q-valve}[i-1]-K_{Q-valve}}{10}\cdot\left(β_S-α[i-1]\right)$$
$K_Q=K_{Q-valve}[i-1]-\cfrac{K_{Q-valve}[i-1]-K_{Q-valve}}{10}\cdot\left(β_S-α[i-1]\right)$
Equations in LaTeX code
K_Q=K_{Q-valve}[i-1]-\cfrac{K_{Q-valve}[i-1]-K_{Q-valve}}{10}\cdot\left(β_S-α[i-1]\right)
Angle from open position
Flow coefficient $ K_{Q-valve} $
$ α $ $ K_{Q-valve} $
$ \mathrm{°} $ $ \mathrm{\ } $
No data
Angle from open position Flow coefficient $ K_{Q-valve} $
$ α $ $ K_{Q-valve} $
$ \mathrm{°} $ $ \mathrm{\ } $
No data
Unrounded data
Angle from open position;Flow coefficient $ K_{Q-valve} $ ;
α;K_{Q-valve};
°; ;

$ K_{Q-valve}\ [-] $
No data
$ α\ [\mathrm{°}] $
Flow coefficient $ K_{Q-valve} $

Angle from open position Flow coefficient $ K_{Q-valve} $
$ α $ $ K_{Q-valve} $
$ \mathrm{°} $ $ \mathrm{\ } $
No data
Unrounded data
Angle from open position; Flow coefficient $ K_{Q-valve} $ ;
α; K_{Q-valve};
°; ;
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