Table 2 Resonant frequencies \({\nu _r}\left( {{R_0}} \right)\) and the resonant threshold amplitudes \(P_{A}^{{rth}}\left( {{R_0}} \right)~\)of acoustic pressure obtained from the series of numerical calculations based on Eq. (1).

From: Quantitative efficiency of optoacoustic ultrasonic treatment in SLM, DED, and LBW applications

Initial radius of the bubble

Ti-6Al-4 V

316 L

\({R_0}~,{\text{\varvec{\upmu}m}}\)

\({\nu _r}\left( {{R_0}} \right),~{\text{kHz}}\)

\(P_{A}^{{rth}}\left( {{R_0}} \right),{\text{bar}}\)

\({p_l}\left( {{R_0}} \right),{\text{W}}\)

\({\nu _r}\left( {{R_0}} \right),~{\text{kHz}}\)

\(P_{A}^{{rth}}\left( {{R_0}} \right),{\text{bar}}\)

\({p_l}\left( {{R_0}} \right),{\text{W}}\)

1

9300

24

1540

6400

25

1096

2.2

2900

10

804

2000

11

603

4.5

1000

5

509

660

4.2

323

10

320

2.4

331

220

2.0

209

22

120

1.4

247

80.0

1.0

140

45

48.0

0.9

197

32.9

0.86

128

100

19.0

0.6

160

13.7

0.74

117

  1. The table also includes the threshold power \({p_l}\) of pulsed laser radiation required to activate the cavitation process of a bubble with an initial radius \({R_0}\). The formula for \({p_l}\) is described in the next section.