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Asymptotic Solutions of the Equations for a Viscous Heat-Conducting Compressible Medium
2005
Fluid Dynamics
Small nonstationary perturbations in a viscous heat-conducting compressible medium are analyzed on the basis of the linearization of the complete system of hydrodynamic equations for small Knudsen numbers (Kn 1). It is shown that the density and temperature perturbations (elastic perturbations) satisfy the same wave equation which is an asymptotic limit of the hydrodynamic equations far from the inhomogeneity regions of the medium (rigid, elastic or fluid boundaries) as M a = v/a → 0, where v
doi:10.1007/s10697-005-0080-x
fatcat:cuakascsbvaodesr52fkif2dqm