Maxwell and Cattaneo’s Time - Delay Ideas Applied to Shockwaves and the Rayleigh - Bénard Problem

• Autorzy: Uribe F. J. , Hoover W. G. , Hoover C. G.
• Języki publikacji: EN

Abstrakty

EN

We apply Maxwell and Cattaneo’s relaxation approaches to the analysis of strong shockwaves in a two-dimensional viscous heat-conducting fluid. Good agreement results for reasonable values of Maxwell’s relaxation times. Instability results if the viscous relaxation time is too large. These relaxation terms have negligible effects on slower-paced subsonic problems, as is shown here for two-roll and four-roll Rayleigh-Bénard flow

Słowa kluczowe

EN

shockwaves; Maxwell-Cattaneo; temperature tensor; time delay; Rayleigh-Bénard flow

• Wydawca: Institute of Bioorganic Chemistry Scientific Publishers OWN, Polish Academy of Sciences
• Czasopismo: Computational Methods in Science and Technology
• Rocznik: 2013
• Tom: Vol. 19, No. 1
• Strony: 5--12
• Opis fizyczny: Bibliogr. 23 poz., rys.

Twórcy

autor

Uribe F. J.

• Department of Physics, Universidad Autónoma Metropolitana México City, México 09340

autor

Hoover W. G.

• Ruby Valley Research Institute, Highway Contract 60, Box 601 Ruby Valley, Nevada 89833

autor

Hoover C. G.

• Ruby Valley Research Institute, Highway Contract 60, Box 601 Ruby Valley, Nevada 89833

Bibliografia

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• [9] O. Kum, Wm.G. Hoover, and C.G. Hoover, Temperature Maxima in Stable Two-Dimensional Shockwaves, Physical Review E 56, 462 (1997).
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• [17] L.B. Lucy, A Numerical Approach to the Testing of the Fission Hypothesis, The Astronomical Journal 82, 1013-1024 (1977).
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• [19] Wm.G. Hoover, Molecular Dynamics (Springer-Verlag, Berlin, 1986, available at the homepage http://williamhoover.info/MD.pdf).
• [20] Wm.G. Hoover, Computational Statistical Mechanics (Elsevier, Amsterdam, 1991, available at the homepag http://williamhoover.info).e
• [21] O. Kum, Wm.G. Hoover, and H.A. Posch, Viscous Conducting Flows with Smooth-Particle Applied Mechanics, Physical Review E 52, 4899-4908 (1995).
• [22] V.M. Castillo, Wm.G. Hoover, and C.G. Hoover, Coexisting Attractors in Compressible Rayleigh-Bénard Flow, Physical Review E 55, 5546-5550 (1997).
• [23] J.O. Hirschfelder, C.F. Curtiss, and R.B. Bird, Molecular Theory of Gases and Liquids (John Wiley & Sons, New York, 1954).