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Highly focused supersonic microjets: numerical simulations

  • Ivo R. Peters (a1), Yoshiyuki Tagawa (a1), Nikolai Oudalov (a1), Chao Sun (a1), Andrea Prosperetti (a1) (a2), Detlef Lohse (a1) and Devaraj van der Meer (a1)...

By focusing a laser pulse inside a capillary partially filled with liquid, a vapour bubble is created that emits a pressure wave. This pressure wave travels through the liquid and creates a fast, focused axisymmetric microjet when it is reflected at the meniscus. We numerically investigate the formation of this microjet using axisymmetric boundary integral simulations, where we model the pressure wave as a pressure pulse applied on the bubble. We find a good agreement between the simulations and experimental results in terms of the time evolution of the jet and on all parameters that can be compared directly. We present a simple analytical model that accurately predicts the velocity of the jet after the pressure pulse and its maximum velocity.

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Antkowiak, A., Bremond, N., Dizès, S. L. & Villermaux, E. 2007 Short-term dynamics of a density interface following an impact. J. Fluid Mech. 577, 241250.
Bell, C. E. & Landt, J. A. 1967 Laser-induced high-pressure shock waves in water. Appl. Phys. Lett. 10, 4648.
Bergmann, R., de Jong, E., Choimet, J. B., van der Meer, D. & Lohse, D. 2008 The origin of the tubular jet. J. Fluid Mech. 600, 1943.
Bergmann, R., van der Meer, D., Gekle, S., van der Bos, A. & Lohse, D. 2009 Controlled impact of a disk on a water surface: cavity dynamics. J. Fluid Mech. 633, 381409.
Bergmann, R., van der Meer, D., Stijnman, M., Sandtke, M., Prosperetti, A. & Lohse, D. 2006 Giant bubble pinch-off. Phys. Rev. Lett. 96, 154505.
Blake, J. R. & Gibson, D. C. 1981 Growth and collapse of a vapour cavity near a free surface. J. Fluid Mech. 111, 123140.
Culick, F. E. C. 1960 Comments on a ruptured soap film. J. Appl. Phys. 31, 1128.
Duchemin, L., Popinet, S., Josserand, C. & Zaleski, S. 2002 Jet formation in bubbles bursting at a free surface. Phys. Fluids 14, 30003008.
Eggers, J. & Villermaux, E. 2008 Physics of liquid jets. Rep. Prog. Phys. 71, 036601.
Felix, M. P. & Ellis, A. T. 1971 Laser-induced liquid breakdown – a step-by-step account. Appl. Phys. Lett. 19, 484486.
Gekle, S. & Gordillo, J. M. 2010 Generation and breakup of Worthington jets after cavity collapse. Part 1. Jet formation. J. Fluid Mech. 663, 293330.
Gekle, S. & Gordillo, J. M. 2011 Compressible air flow through a collapsing liquid cavity. Intl J. Numer. Meth. Fluids 67, 14561469.
Gekle, S., Gordillo, J. M., van der Meer, D. & Lohse, D. 2009 High-speed jet formation after solid object impact. Phys. Rev. Lett. 102, 034502.
Gordillo, J. M. & Gekle, S. 2010 Generation and breakup of Worthington jets after cavity collapse. Part 2. Tip breakup of stretched jets. J. Fluid Mech. 663, 331346.
Hogrefe, J. E., Peffley, N. L., Goodridge, C. L., Shi, W. T., Hentschel, H. G. E. & Lathrop, D. P. 1998 Power-law singularities in gravity–capillary waves. Physica D 123, 183205.
Lindau, O. & Lauterborn, W. 2003 Cinematographic observation of the collapse and rebound of a laser-produced cavitation bubble near a wall. J. Fluid Mech. 479, 327348.
Longuet-Higgins, M. S. 1983 Bubbles, breaking waves and hyperbolic jets at a free surface. J. Fluid Mech. 127, 103121.
Longuet-Higgins, M. S. & Oguz, H. 1995 Critical microjets in collapsing cavities. J. Fluid Mech. 290, 183201.
Lorenceau, E., Quéré, D., Ollitrault, J.-Y. & Clanet, C. 2002 Gravitational oscillations of a liquid column in a pipe. Phys. Fluids 14, 1985.
Oguz, H. N. & Prosperetti, A. 1990 Bubble entrainment by the impact of drops on liquid surfaces. J. Fluid Mech. 219, 143179.
Oguz, H. N. & Prosperetti, A. 1993 Dynamics of bubble growth and detachment from a needle. J. Fluid Mech. 257, 111145.
Ory, E., Yuan, H., Prosperetti, A., Popinet, S. & Zaleski, S. 2000 Growth and collapse of a vapour bubble in a narrow tube. Phys. Fluids 12, 12681277.
Sun, C., Can, E., Dijking, R., Lohse, D. & Prosperetti, A. 2009 Growth and collapse of a vapour bubble in a mictotube: the role of thermal effects. J. Fluid Mech. 632, 516.
Tagawa, Y., Oudalov, N., Visser, C. W., Peters, I. R., van der Meer, D., Sun, C., Prosperetti, A. & Lohse, D. 2012 Highly focused supersonic microjets. Phys. Rev. X 2, 031002.
Taylor, G. I. 1959 The dynamics of thin sheets of fluid. III. Disintegration of fluid sheets. Proc. R. Soc. Lond. A 253, 313321.
Voinov, O. V. 1976 Hydrodynamics of wetting. Fluid Dyn. 11, 714721.
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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
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