Ultrasound propagation studied using the discrete kinetic theory

We use discrete kinetic models to study the dispersion relations of the one-dimensional plane-ultrasound-wave propagation in monatomic gases, which are fundamental in non-equilibrium statistical thermodynamics. The results show that six- and eight-velocity models can capture the propagation of the diffusion mode, which has not been reported on since 1965. A four-velocity model is seen to capture the propagation of the sound mode in the higher-Knudsen-number regime quite well when we compare our calculated results on the dispersion (phase speed and absorption) relations with Greenspan's measurements.http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000083910100007&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701Physics, Condensed MatterSCI(E)EI11ARTICLE458819-88281