Maxwell and Cattaneo's Time-Delay Ideas Applied to Shockwaves and the Rayleigh-Benard Problem

2011/02/13 by Francisco J. Uribe, Uribe, Francisco J., Wm. G. Hoover +3
Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #physics.flu-dyn

paper · pdf · doi:10.48550/arxiv.1102.2560

21 Pages, with six figures, submitted to Physics Letters A

arxiv created 2011/03/08 · arxiv updated 2011/03/09

Abstract

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-Benard flows.

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