Multi-hole cage

Cage

Developed view of the cage

Values for calculation

Flow

$Q_{max}$ $\mathrm{m^3/s}$

Valve diameter

$D$ $\mathrm{mm}$

Inner diameter of the cage

$D_c$ $\mathrm{mm}$

Inlet absolute static pressure

$P_1$ $\mathrm{Pa}$

Output absolute static pressure

$P_2$ $\mathrm{Pa}$

The water temperature

$T$ $\mathrm{°C}$

Density

$ρ$ $\mathrm{kg/m^3}$

Saturated vapor pressure

$P_T$ $\mathrm{Pa}$

Output coefficient

$μ$

Diameter of the hole

$d$ $\mathrm{mm}$

Flow characteristic

Cage length

$L$ $\mathrm{mm}$

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

$$n_{max}=\cfrac{π\cdot D_c}{\sqrt{\left(9\cdot d\right)^2-\left(3\cdot d\right)^2}}$$

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

$$I=\cfrac{4\cdot 10^6 \cdot A}{π\cdot d^2}$$

$$\cfrac{P_1-P_2}{0.6\cdot\left(P_1-P_T\right)}\le1$$$$\cfrac{4\cdot 10^6\cdot A}{π\cdot D^2}< 0.5$$$$\cfrac{D}{50}\geq d$$