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- W2114579261 abstract "Ce travail porte sur l'étude des effets d'une modulation en phase des conditions aux limites relatives à la température sur le seuil convectif d'une couche liquide viscoélastique horizontale et d'extension infinie. Dans ce cadre, nous supposons que le comportement du liquide est régi par une loi de type Maxwell linéaire et que la température imposée résulte de la superposition d'une composante stationnaire et d'une composante variable au cours du temps. La théorie de Floquet combinée avec une méthode numérique transformant le problème aux valeurs propres obtenu en un problème aux conditions initiales, nous permettent de mettre en évidence, les effets dus à cette modulation et à la nature viscoélastique du fluide sur le seuil critique de convection. Pour citer cet article : B. Oukada et al., C. R. Mecanique 334 (2006). In this Note we study the effects of the temperature modulation, applied at the horizontal boundaries, on the onset of convection of a horizontal liquid Maxwellian layer. It is assumed that the temperature imposed features a steady component and a time dependent component. To analyse the effect of the temperature modulation, the study is restricted to a linear stability analysis. Thus the Floquet theory and a technique of converting a boundary value problem to an initial value problem are used to solve the system of equations corresponding to the onset of convection. Results obtained may be used to characterize the influence of modulation effects and that of the viscoelastic nature of liquid on the critical Rayleigh number. To cite this article: B. Oukada et al., C. R. Mecanique 334 (2006)." @default.
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- W2114579261 date "2006-03-01" @default.
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- W2114579261 title "Effets d'une modulation en phase de température à la frontière sur l'instabilité convective d'une couche liquide viscoélastique" @default.
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- W2114579261 doi "https://doi.org/10.1016/j.crme.2006.01.002" @default.
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