Browsing by Author "Kamath, Vinod"
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Item A theoretical study of sonoluminescence(The Journal of the Acoustical Society of America, 1993-07) Kamath, Vinod; Prosperetti, Andrea; Egolfopoulos, F.N.The production of OH radicals by dissociation of water vapor in oscillating argon bubbles is studied theoretically to examine a possible mechanism for the emission of the 310?nm line observed in sonoluminescence experiments. Accurate models are used for the calculation of the temperature field in the gas and for the description of the associated chemical kinetics. Heat transfer between the bubble and the liquid is found to play a dominant role in the process. At the low excitation amplitudes considered, the bubble radius is also an important parameter.Item Bubble Oscillations in the Nearly Adiabatic Limit(The Journal of the Acoustical Society of America, 10/1/1992) Kamath, Vinod; Oguz, H.N.; Prosperetti, AndreaMiksis and Ting [J. Acoust. Soc. Am. 81, 1331 (1987)] reported examples of a marked increase of the radius of an oscillating gas bubble as predicted by their nearly adiabatic model. They attributed this phenomenon to a process of rectified heat transfer into the bubble. By comparison with a more complete model which contains the nearly adiabatic one as an approximation, it is shown that the real cause of this result is instead the error inherent in the approximation. This error arises primarily from the failure of the approximation to capture the complex behavior of the gas temperature and manifests itself in a spurious growth of the mass of gas contained in the bubble. In addition to being more accurate, the more complete model is also found to be less computationally demanding than the approximate one.Item Numerical Integration Methods in Gas Bubble Dynamics(The Journal of the Acoustical Society of America, 1989-04) Kamath, Vinod; Prosperetti, AndreaA recent detailed formulation of the dynamics of a gas bubble requires the numerical integration of a nonlinear heat equation in the bubble. In this article, a variety of numerical methods for this purpose are studied. The most efficient technique is found to be an adaptive Galerkin–Chebyshev spectral method, which is explained in detail. Examples of oscillations at high forcing and chaotic response are also given. These results differ very considerably from those obtained by use of the simpler models used by previous investigators.