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The flow characteristic (crank mechanism)

The flow characteristic (crank mechanism) e l r α β 0% 100%
The flow characteristic (crank mechanism)

Values for calculation

$ α $ $ \mathrm{°} $
$ β $ $ \mathrm{°} $
$ r $ $ \mathrm{mm} $
$ l $ $ \mathrm{mm} $
$ e $ $ \mathrm{mm} $
$ K_{Q-valve} $

Calculation

Stroke

$$S_{max}=\sqrt{l^2-\left(r\cdot\sin{α}-e\right)^2}+r\cdot\cos{α}-\sqrt{l^2-\left(r\cdot\sin{\left(α+β\right)}-e\right)^2}-r\cdot\cos{\left(α+β\right)}$$
Stroke from open position
Angle rotation of the rocking motion
Stroke in the pivot position
Stroke percentage
Flow coefficient $ K_{Q-valve} $
Flow coefficient
$ s $ $ β_S $ $ S_S $ $ S_{S\%} $ $ K_{Q-valve} $ $ K_Q $
$ \mathrm{\%} $ $ \mathrm{°} $ $ \mathrm{mm} $ $ \mathrm{\%} $ $ \mathrm{\ } $ $ \mathrm{\ } $
No data

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

$$β_S=\cfrac{β}{100}\cdot s$$

$ S_S\ [\mathrm{mm}] $
No data
$ s\ [\mathrm{\%}] $
Stroke in the pivot position

$$S_S=S_{max}-\sqrt{l^2-\left(r\cdot\sin{α}-e\right)^2}-r\cdot\cos{α}+\sqrt{l^2-\left(r\cdot\sin{\left(α+β-β_S\right)}-e\right)^2}+r\cdot\cos{\left(α+β-β_S\right)}$$

$ S_{S\%}\ [\mathrm{\%}] $
No data
$ s\ [\mathrm{\%}] $
Stroke percentage

$$S_{S\%}=\cfrac{100}{S_{max}}\cdot S_S$$

$ K_{Q-valve}\ [-] $
No data
$ s\ [\mathrm{\%}] $
Flow coefficient $ K_{Q-valve} $

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

$\text{if }\ s= 0$
$$K_Q=K_{Q-valve}$$
$\text{else if }\ s= 100$
$$K_Q=K_{Q-valve}$$
$\text{else}$
$$K_Q=K_{Q-valve}-\cfrac{K_{Q-valve}-K_{Q-valve}[i+1]}{10}\cdot\left(S_{S\%}-s\right)$$