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Nonlinear acoustics to second order in Knudsen number without unphysical instabilities
KTH, School of Engineering Sciences (SCI), Mechanics.
2005 (English)In: Rarefied Gas Dynamics / [ed] Capitelli, M, MELVILLE: AMER INST PHYSICS , 2005, Vol. 762, 54-59 p.Conference paper (Refereed)
Abstract [en]

The Burnett equations are consistently reformulated as a linearly stable first order system. The equations are then applied to study the nonlinear evolution of a sound wave. The initially sinusoidal wave is nonlinearly distorted and a shock wave develops. The shock is gradually dissolved by dissipation and a sinusoidal wave of smaller and decaying amplitude emerges. The amplitude of this old age solution is compared with the classical results from the Burgers equation of nonlinear acoustics and systematic deviations are found.

Place, publisher, year, edition, pages
MELVILLE: AMER INST PHYSICS , 2005. Vol. 762, 54-59 p.
National Category
Physical Sciences
URN: urn:nbn:se:kth:diva-43196DOI: 10.1063/1.1941513ISI: 000230775600007ScopusID: 2-s2.0-33748988156ISBN: 0-7354-0247-7OAI: diva2:447908
24th International Symposium on Rarefied Gas Dynamics (RGD24). Monopoli, ITALY. JUL 10-16, 2004
QC 20111013Available from: 2011-10-13 Created: 2011-10-13 Last updated: 2011-10-13Bibliographically approved

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Söderholm, Lars H
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