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Original Articles

Asymptotical solutions for a vibrationally relaxing gas

Pages 423-434 | Received 06 Mar 2009, Published online: 14 Oct 2010
 

Abstract

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.

Notes

Research funding from DST, India vide Project grant number SR/FTP/MS‐12/2008 is gratefully acknowledged

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