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Multi-stage valve

Values for calculation

$Q_{max}$ $\mathrm{m^3/s}$
$D$ $\mathrm{mm}$
$P_1$ $\mathrm{Pa}$
$P_2$ $\mathrm{Pa}$
$T$ $\mathrm{°C}$
$ρ$ $\mathrm{kg/m^3}$
$P_{SV}$ $\mathrm{Pa}$
$μ$
$d$ $\mathrm{mm}$

Calculation

Velocity in valve

$$v_{max}=\cfrac{4\cdot 10^6\cdot Q_{max}}{π\cdot D^2}$$

The flow area

$$A=\cfrac{Q_{max}}{μ\cdot \sqrt{2\cdot \cfrac{P_1-P_2}{ρ}}}$$

Requirements

$$\cfrac{D}{50}\geq d$$$$\cfrac{4\cdot 10^6\cdot A_{i[max]}}{π\cdot D^2}< 0.5$$