The Dispersion Relation of Sound Propagation in GasMixture 

Author  AoJiJun 
Tutor  AQiLaTu 
School  Inner Mongolia University 
Course  Applied Mathematics 
Keywords  GasMixture dispersion relation Model equation eigenvalue eigenfunction 
CLC  O411 
Type  Master's thesis 
Year  2008 
Downloads  30 
Quotes  1 
The dispersion relation(namely the relation between the frequency and the wave number of the sound wave at the media) is of importance in studying of the sound propagation problems. Many of the studies of the dispersion relation are contacted with the macro NavierStokes methods. In paper [l],the author investigated the dispersion relation in simple gas with kinetic theory. In this paper, we try to the dispersion relation of sound propagation in gasmixture with kinetic theory. At first, we give the eigenvalues and eigenfunctions of the linearized Boltzmann equations in gasmixture ,then establish the model equations of the linearized Boltzmann equations,at last we give the equation by the FourierLaplace transform and the dispersion relation. Here we also give some analysis of it.