# [059] Hydrodynamics of an endothermic gas with application to bubble cavitation

James F. Lutsko, "Hydrodynamics of an endothermic gas with application to bubble cavitation", *J. of Chemical Physics*, **125**, 164319 (2006) __http://jimlutsko.github.io/files/Lutsko_JCP_2006.pdf__

## Abstract

The hydrodynamics for a gas of hard spheres which sometimes experience inelastic collisions resulting in the loss of a fixed, velocity-independent, amount of energy Delta 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 Delta with a minimum occurring near the physically important value of Delta 12 000 K 1 eV.