Hydrodynamics of an inelastic gas with implications for sonochemistry

dc.creatorLutsko, James F.
dc.date2005-10-09
dc.date.accessioned2026-07-07T06:44:13Z
dc.date.available2026-07-07T06:44:13Z
dc.descriptionThe hydrodynamics for a gas of hard-spheres which sometimes experience inelastic collisions resulting in the loss of a fixed, velocity-independent, amount of energy $Δ$ is investigated with the goal of understanding the coupling between hydrodynamics and endothermic chemistry. The homogeneous cooling state of a uniform system and the modified Navier-Stokes equations are discussed and explicit expressions given for the pressure, cooling rates and all transport coefficients for D-dimensions. The Navier-Stokes equations are solved numerically for the case of a two-dimensional gas subject to a circular piston so as to illustrate the effects of the enegy loss on the structure of shocks found in cavitating bubbles. It is found that the maximal temperature achieved is a sensitive function of $Δ$ with a minimum occuring near the physically important value of $Δ\sim 12,000K \sim 1eV$
dc.description35 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0510219
dc.identifierhttp://arxiv.org/abs/cond-mat/0510219
dc.identifierJ. Chem. Phys. 125, 164319 (2006)
dc.identifierdoi:10.1063/1.2357150
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102706
dc.subjectSoft Condensed Matter
dc.subjectStatistical Mechanics
dc.titleHydrodynamics of an inelastic gas with implications for sonochemistry
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