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Abstract

In this paper, the interaction between the two bubbles with the effects of mass transfer, heat transfer and diffusion was investigated under ultrasonic action by using the model combining the modified Keller-Miksis equation with Noble-Abel-Stiffend-Gas equation of state. The maximum normalized radius of cavitation the bubbles and the secondary Bjerknes force (coefficient) of the interaction between the bubbles are calculated respectively, and compared with the maximum normalized radius of the bubbles and the secondary Bjerknes force (coefficient) in the two bubbles system without the effects of mass transfer, heat transfer and diffusion given by Mettin et al [Mettin R, Akhatov I, Parlitz U, Ohl C D, Lauterborn W 1997 Phys. Rev. E 562924]. The results show that the maximum normalized radius of the bubbles and the secondary Bjerknes forces between the bubbles are larger in the two bubbles system with the effects of mass transfer, heat transfer and diffusion than in the two bubbles system without the effects of mass transfer, heat transfer and diffusion. The main reason for this result is that the effects of mass transfer, heat transfer and diffusion can increase the amount of gas contained in the cavitation bubble. With the increase of the initial radius of a certain the bubble in the two bubbles system, the secondary Bjerknes force will increase and the difference between the secondary Bjerknes forces in the two cases will gradually increase. With the increase of the driving sound pressure amplitude, the secondary Bjerknes force will also increase and the difference between the secondary Bjerknes forces in the two cases will also gradually increase. With the increase of the driving frequency, the secondary Bjerknes force will decrease and the difference between the secondary Bjerknes forces in the two cases will also gradually decrease. Therefore, the effects of mass transfer, heat transfer and diffusion have a significant effect on the secondary Bjerknes force of the interaction between cavitation the bubbles, which is an important factor that cannot be ignored. The research results of this article have positive significance for further understanding of the secondary Bjerknes force of the interaction between the two bubbles under ultrasonic action.

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Authors and contacts

Corresponding author:Naranmandula,nrmdlbf@126.com

Funds:Project supported by the National Natural Science Foundation of China (Grant No. 11462019).

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References

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参数	值	单位
液体密度 $ \rho_{0} $	998	$ \mathrm{kg{\cdot} m^{-3}} $
黏性系数μ	0.001	$ \mathrm{Pa{\cdot} s} $
表面张力σ	0.0725	$ \mathrm{N{\cdot} m^{-1}} $
环境温度 $ T_{\mathrm{0}} $	300	$ \mathrm{K} $
液体热容比 $ \gamma_\mathrm{l} $	1.19	$ - $
液体热容 $ C_\mathrm{V, l} $	3610	$ \mathrm{J{\cdot} kg^{-1} {\cdot} K^{-1}} $
饱和蒸汽压 $ P_\mathrm{v} $	$ 2.3381\times 10^{3} $	$ \mathrm{Pa} $
液体分子共体积 $ b_\mathrm{l} $	$ 6.7145\times 10^{-4} $	$ \mathrm{m^3{\cdot} kg^{-1}} $
液体压力常数 $ B_\mathrm{l} $	$ 6.2239\times 10^8 $	$ \mathrm{Pa} $
气体压力常数 $ B_\mathrm{g} $	0	$ \mathrm{Pa} $
气体摩尔质量 $ M_{\mathrm{H_{2}O}} $	0.018	$ \mathrm{kg{\cdot} mol^{-1}} $
气体摩尔质量 $ M_{\mathrm{Ar}} $	0.04	$ \mathrm{kg{\cdot} mol^{-1}} $
阿伏伽德罗常数 $ N_{\mathrm{A}} $	$ 6.023\times 10^{23} $	$ \mathrm{mol^{-1}} $
玻尔斯曼常数 $ k_{\mathrm{B}} $	$ 1.38\times 10^{-23} $	$ \mathrm{J{\cdot} K^{-1}} $
环境压力 $ P_{\mathrm{0}} $	$ 10^{5} $	$ \mathrm{Pa} $
气泡间距 $d_{ij}$	$ 10^{-3} $	$ \mathrm{m} $

DownLoad: CSV

参数	值	单位
液体密度 $ \rho_{0} $	998	$ \mathrm{kg{\cdot} m^{-3}} $
黏性系数μ	0.001	$ \mathrm{Pa{\cdot} s} $
表面张力σ	0.0725	$ \mathrm{N{\cdot} m^{-1}} $
环境压力 $ P_{\mathrm{0}} $	$ 1\times 10^{5} $	$ \mathrm{Pa} $
气体热容比 $ \gamma_\mathrm{g} $	1.67	$ - $
液体中的声速 $ C_\mathrm{l} $	1500	$ \mathrm{m{\cdot} s^{-1}} $
气泡间距 $d_{ij}$	$ 1\times 10^{-3} $	$ \mathrm{m} $

DownLoad: CSV

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Vol. 72, Issue 19 - 2023-10-05

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