Single-bubble sonoluminescence: Shape stability analysis of collapse dynamics in a semianalytical approach

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 62, Issue 2, 2000, Pages 2158-2167

  Bogoyavlenskiy, Vladislav A ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; BOUNDARY LAYERS; COMPUTER SIMULATION; DIFFERENTIATION (CALCULUS); FLUID DYNAMICS; POLYNOMIALS; SONOLUMINESCENCE; VISCOSITY OF LIQUIDS; VISCOUS FLOW; VORTEX FLOW;

BUBBLE DYNAMICS; COLLAPSE DYNAMICS; RAYLEIGH-TAYLOR INSTABILITY; SHAPE STABILITY ANALYSIS; SINGLE BUBBLE SONOLUMINESCENCE;

BUBBLES (IN FLUIDS);

EID: 0034238728     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.62.2158     Document Type: Article

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48. The beginning of the violent collapse region is defined by the condition (Formula presented) yielding the estimation (Formula presented). Since for sonoluminescing bubbles the initial radius (Formula presented), corresponding values of the liquid viscosity parameter (Formula presented) calculated from Eq. (11) are of the order of (Formula presented).
49. Sonoluminescence is observed when the bubble wall velocity achieves supersonic speeds, (Formula presented), where (Formula presented) is the sound speed in water and (Formula presented) is the Mach number. Since corresponding values of (Formula presented) are approximately (Formula presented), the expression (Formula presented) is estimated as (Formula presented).