AbstractThe present paper uses the method of multiple time scales to derive the asymptotic solution of system of one-dimensional quasilinear hyperbolic equations for the generalized geometry in van der Waals gas. The transport equation for the amplitude of resonantly interacting high frequency waves propagating into non-ideal gas is derived. Further, we discuss the cases when the initial data for the wave amplitude is of periodicity. The evolutionary behavior of non-resonant wave modes culminating into shock wave and its location are examined in van der Waals fluid.
HighlightsMethod of multiple time scales is used to derive asymptotic solution of the problem.Transport equation for the amplitude is derived in van der Waals gas.Interaction of waves in van der Waals gas is discussed.The existence of shock and its location is examined.
Resonantly interacting non-linear waves in a van der Waals gas
Acta Astronautica ; 140 ; 91-95
2017-08-08
5 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Resonantly interacting non-linear waves in a van der Waals gas
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