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시간에 따른 압력변화에 대한 마이크로 기포의 동적 반응

Dynamics Response of a Micro Bubble under Temporal Pressure Variations

  • Lee, Woo Min (Department of Mechanical and Automotive Engineering, Seoul National University of Science and Technology) ;
  • Lee, Seung Hyun (Graduate School, Seoul National University of Science and Technology) ;
  • Sung, Jaeyong (Department of Mechanical and Automotive Engineering, Seoul National University of Science and Technology) ;
  • Lee, Myeong Ho (Department of Mechanical and Automotive Engineering, Seoul National University of Science and Technology)
  • 투고 : 2013.12.06
  • 심사 : 2014.02.24
  • 발행 : 2014.04.30

초록

The growth of micro bubble has been simulated under the variation of ambient pressure. The Rayleigh-Plesset equation governs the dynamic growth and collapse of a bubble according to pressure and temperature conditions. The Rayleigh-Plesset equation was solved by 4th-order Runge-Kutta method for wide range of pressure variations. As numerical parameters, the pressure difference between initial and final pressures, and the temporal pressure gradient are changed. The results show that the pressure difference has little effect on the growth rate of the micro bubble in the inertia controlled growth region. On the other hand, the growth rate increases linearly with the increase of the pressure gradient.

키워드

참고문헌

  1. Rayleigh, L., 1917, "On the Pressure Developed in a Liquid during the Collapse of a Spherical Cavity," Phil. Mag., Vol. 32, pp. 94-98.
  2. Plesset, M. S., 1949, "The Dynamics of Cavitation Bubbles," ASME J. Appl. Mech., Vol.16, pp. 228-231.
  3. Robinson, A. J., Judd, R. L., 2004, "The Dynamics of Spherical Bubble Growth," Int. J. Heat and Mass Transfer, Vol. 47, pp. 5101-5113. https://doi.org/10.1016/j.ijheatmasstransfer.2004.05.023
  4. Yang, H., Desyatove, A. V., Cherkasov, S. G., and McConnell, D. B., 2008, "On the Fulfillment of the Energy Conservation Law in Mathematical Model of Evolution of Single Spherical Bubble," Int. J. Heat and Mass Transfer, Vol. 51, pp. 3623-3629. https://doi.org/10.1016/j.ijheatmasstransfer.2007.10.013
  5. Alehossein, H., Qin, Z., 2007, "Numerical Analysis of Rayleigh-Plesset Equation for Cavitating Water Jets," Int. J. Numer. Method Engrg., Vol. 72, pp. 780-807. https://doi.org/10.1002/nme.2032
  6. Brennen, C. E., 1995, Cavitation and Bubble Dynamics, Oxford University Press, pp. 47-50.