After using the correction coefficient k, there is
f ¼ k
1
a
p w A k g
2sG k
1=2
ð11:8Þ
If factor k=a is represented by a total coefficient b, then there is
f ¼ b
p w A k g
2sG k
1=2
ð11:9Þ
In the equation, b can be obtained by looking up Table 11.7.
(3) Output Power
Output power refers to the total work done by the impactor in every second,
expressed in N:
N ¼ ef
ð11:10Þ
By substituting the values of e and f into the above equation, there is
N ¼ K a b 2G k
ð
Þ
À0:5 p w A k
ð
Þ
1:5 sg
ð Þ
0:5
ð11:11Þ
The above equation shows that both the output power and the supply pressure
are proportional to the power of 1.5 power of the working area of the cylinder. The
foreign high-pressure impactor is designed based on this basic principle.
11.3.4.2 Piecewise Calculation Method for Calculating Performance
Parameters
Valveless impactor valve distribution state is divided into three stages: intake,
expansion and inertial sliding. Its performance parameters can be calculated by
stages. The stroke stage diagram is shown in Fig. 11.8.
(1) Calculation of impact energy
According to the work-energy principle, the impact energy of the impactor is the
difference between the pressure power of the back chamber of the cylinder and the
resistance power of the front chamber in the stroke stage, that is,
e ¼
Z
p A dV A À
Z
p q dV q ¼ e 1 þ e 2 þ e 3 À e 4 À e 5 À e 6
ð11:12Þ
11.3 Principle and Parameter Design of Large Diameter …
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