Asymptotical solutions for a vibrationally relaxing gas
DOI: https://doi.org/10.3846/1392-6292.2009.14.423-434Abstract
Using the weakly non‐linear geometrical acoustics theory, we obtain the small amplitude high frequency asymptotic solution to the basic equations governing one dimensional unsteady planar, spherically and cylindrically symmetric flow in a vibrationally relaxing gas with Van der Waals equation of state. The transport equations for the amplitudes of resonantly interacting waves are derived. The evolutionary behavior of non‐resonant wave modes culminating into shock waves is also studied.
First published online: 14 Oct 2010
Keywords:
Weakly Non‐linear hyperbolic waves, Asymptotic Solution, Resonance, Planar and non‐planar Shock Waves, Vibrationally Relaxing GasHow to Cite
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Copyright (c) 2009 The Author(s). Published by Vilnius Gediminas Technical University.
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Copyright (c) 2009 The Author(s). Published by Vilnius Gediminas Technical University.
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This work is licensed under a Creative Commons Attribution 4.0 International License.