Effets d'une modulation en phase de température à la frontière sur l'instabilité convective d'une couche liquide viscoélastiqueEffects of a temperature modulation in phase at the frontier on the convective instability of a viscoelastic layer |
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Authors: | Bouchra Oukada Mohamed Ouazzani Touhami Saïd Aniss |
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Institution: | Laboratoire de mécanique, faculté des sciences Aïn chock, B.P. 5366 Maârif, Casablanca, Maroc |
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Abstract: | 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). |
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Keywords: | Mécanique des fluides Convection Modulation de température Stabilité Viscoélastique Solutions harmoniques Fluid mechanics Convection Temperature modulation Stability Viscoelastic Synchronus solutions |
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