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Vapour bubble collapse in isothermal and non-isothermal liquids

  • BINZE YANG (a1) and ANDREA PROSPERETTI (a1) (a2)

The motion of a vapour bubble in a subcooled liquid is studied numerically assuming axial symmetry but allowing the surface to deform under the action of the fluid dynamic stress. The flattening of the bubble in the plane orthogonal to the translational velocity increases the added mass and slows it down, while, at the same time, the decreasing volume tends to increase the velocity. The deformation of the interface also increases the surface area exposed to the incoming cooler liquid. The competition among these opposing processes is subtle and the details of the condensation cannot be captured by simpler models, two of which are considered. In spite of these differences, the estimate of the total collapse time given by a spherical model is close to that of the deforming bubble model for the cases studied. In addition to an isothermal liquid, some examples in which the bubble encounters warmer and colder liquid regions are shown.

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A. H. Abdelmessih , F. C. Hooper & S. Nangia 1972 Flow effects on bubble growth and collapse in surface boiling. Intl J. Heat Mass Transfer 15, 115125.

A. Blanco & J. Magnaudet 1995 The structure of axisymmetric high-Reynolds number flow around an ellipsoidal bubble of fixed shape. Phys. Fluids 7, 12651274.

D. L. Brown , R. Cortez & M. L. Minion 2001 Accurate projection methods for the incompressible Navier-Stokes equations. J. Comput. Phys. 168, 464499.

Y. Chen & F. Mayinger 1992 Measurement of heat transfer at the phase interface of condensing bubbles. Intl J. Multiphase Flow 18, 877890.

R. Duraiswami & A. Prosperetti 1992 Orthogonal mapping in two dimensions. J. Comput. Phys. 98, 254268.

L. Florschuetz & B. Chao 1965 On the mechanics of vapour bubble collapse. J. Heat Transfer 87, 209220.

M. Francois & W. Shyy 2003 Computations of drop dynamics with the immersed boundary method, Part 1: Numerical algorithm and buoyancy-induced effect. Numer. Heat Transfer B 44, 101118.

N. Gumerov 1996 The heat and mass transfer of a vapour bubble with translatory motion at high Nusselt numbers. Intl J. Multiphase Flow 22, 259272.

Y. Hao & A. Prosperetti 1999 The dynamics of vapour bubbles in acoustic pressure fields. Phys. Fluids 11, 20082019.

Y. Hao & A. Prosperetti 2000 The collapse of vapour bubbles in a spatially non-uniform flow. Intl J. Heat Mass Transfer 43, 35393550.

O. E. Ivashnyov & N. N. Smirnov 2004 Thermal growth of a vapour bubble moving in superheated liquid. Phys. Fluids 16, 809823.

D. Labuntsov & A. Kryukov 1979 Analysis of intensive evaporation and condensation. Intl J. Heat Mass Transfer 22, 9891002.

L. G. Leal 1989 Velocity transport and wake structure for bluff bodies at finite Reynolds number. Phys. Fluids A 1, 124131.

D. Legendre , J. Borée & J. Magnaudet 1998 Thermal and dynamic evolution of a spherical bubble moving steadily in a superheated or subcooled liquid. Phys. Fluids 10, 12561272.

W. Z. Li & Y. Y. Yan 2002 An alternating dependent variables (ADV) method for treating slip boundary conditions of free sutface flows with heat and mass transfer. Numer. Heat Transfer B 41, 165189.

W. Z. Li , Y. Y. Yan & J. M. Smith 2003 bA numerical study of the interfacial transport characteristics outside spheroidal bubbles and solids. Intl J. Multiphase Flow 29, 435460.

D. Moalem & S. Sideman 1973 The effect of motion on bubble collapse. Intl J. Heat Mass Transfer 16, 23212329.

A. Mukherjee & V. Dhir 2004 Study of lateral merger of vapour bubbles during nucleate pool boiling. J. Heat Transfer 126, 10231039.

S. Osher & R. Fedkiw 2001 Level set methods: an overview and some recent results. J. Comput. Phys. 169, 463502.

M. Plesset & A. Prosperetti 1977 Bubble dynamics and cavitation. Annu. Rev. Fluid Mech. 9, 145185.

A. Prosperetti & Y. Hao 1999 Modelling of spherical gas bubble oscillations and sonoluminescence. Phil. Trans. R. Soc. Lond. A 357, 203223.

A. Prosperetti & Y. Hao 2002 Vapour bubbles in flow and acoustic fields. Ann. New York Acad. Sci. 974, 328347.

P. E. Raad & R. , B. 2005 The three-dimensional Eulerian-Lagrangian marker and micro cell method for the simulation of free surface flows. J. Comput. Phys. 203, 668699.

E. Ruckenstein 1959 On heat transfer between vapour bubbles in motion and the boiling liquid from which they are generated. Chem. Engng Sci. 10, 2230.

E. Ruckenstein & J. Davis 1971 The effects of bubble translation on vapour bubble growth in a superheated liquid. Intl J. Heat Mass Transfer 14, 939952.

G. Ryskin & L. Leal 1984 Numerical solution of free-boundary problems in fluid mechanics. Part 5. Buoyancy-driven motion of a gas bubble through a quiescent liquid. J. Fluid Mech. 148, 1935.

R. Scardovelli & S. Zaleski 1999 Direct numerical simulation of free-surface and interfacial flow. Annu. Rev. Fluid Dyn. 31, 567603.

R. Scardovelli & S. Zaleski 2003 Interface reconstruction with least-square fit and split Eulerian-Lagrangian advection. Intl J. Numer. Meth. Fluids 41, 251274.

E. Shirani , N. Ashgriz & J. Mostaghimi 2005 Interface pressure calculation based on conservation of momentum for front capturing methods. J. Comput. Phys. 203, 154175.

G. Son & V. Dhir 1997 Numerical simulation of saturated film boiling on a horizontal surface. J. Heat Transfer 119, 525533.

G. Son , N. Ramanujapu & V. Dhir 2002 Numerical simulation of bubble merger process on a single nucleation site during pool nucleate boiling. J. Heat Transfer 124, 5162.

A. J. Szeri , B. D. Storey , A. Pearson & J. R. Blake 2003 Heat and mass transfer during the violent collapse of nonspherical bubbles. Phys. Fluids 15, 25762586.

H. S. Udaykumar , R. Mittal , P. Rampunggoon & A. Khanna 2001 A sharp interface Cartesian grid method for simulating flows with complex moving boundaries. J. Comput. Phys. 174, 345380.

D. Wittke & B. Chao 1967 Collapse of vapour bubbles with translatory motion. J. Heat Transfer 89, 1724.

B. Yang & A. Prosperetti 2006 A second-order boundary-fitted projection method for free-surface flow computations. J. Comput. Phys. 213, 574590.

B. Yang , A. Prosperetti & S. Takagi 2003 The transient rise of a bubble subject to shape or volume changes. Phys. Fluids 15, 26402648.

T. Ye , W. Shyy & J. N. Chung 2003 A fixed-grid, sharp-interface method for bubble dynamics and phase change. J. Comput. Phys. 174, 781815.

H. Yuan & A. Prosperetti 1997 Gas-liquid heat transfer in a bubble collapsing near a wall. Phys. Fluids 9, 127142.

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Journal of Fluid Mechanics
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  • EISSN: 1469-7645
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