Reference : Amplitude equations and thermoconvective rolls far from the threshold
Scientific congresses and symposiums : Paper published in a book
Physical, chemical, mathematical & earth Sciences : Multidisciplinary, general & others
http://hdl.handle.net/2268/29056
Amplitude equations and thermoconvective rolls far from the threshold
English
Dauby, Pierre mailto [Université de Liège - ULg > Département d'astrophys., géophysique et océanographie (AGO) > Thermodynamique des phénomènes irréversibles >]
Desaive, Thomas mailto [Université de Liège - ULg > Département d'astrophys., géophysique et océanographie (AGO) > Thermodynamique des phénomènes irréversibles - Département d'astrophys., géophysique et océanographie (AGO) >]
1-Nov-2000
Proceedings of the 53rd annual meeting of the division of fluid dynamics of the American physical society
papier BK7
Yes
No
International
53rd annual meeting of the division of fluid dynamics of the American physical society
du 19 au 21 novembre 2000
Washington
DC
[en] Amplitude equations are used to show that third order harmonics of a basic roll convective pattern can appear in the highly nonlinear régime of Rayleigh-Bénard thermoconvection. The phenomenon is induced by the nonlinear interaction of the roll pattern with its second order harmonics, which were first generated by the quadratic nonlinearity due to the convective terms of the time derivatives in the field equations. Good qualitative agreement with experimental data is obtained with only 4 amplitude equations. More precise quantitative results are deduced by increasing the number of amplitude equations. Comparison with purely numerical calculations is also discussed.
http://hdl.handle.net/2268/29056
http://esoads.eso.org/abs/2000APS..DFD.BK007D

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