title: Spatially modulated thermal convection of viscoelastic fluids.
abstract: The thermal convection of modulated viscoelastic flow is examined in this study. The modulation is assumed to be weak enough for a regular perturbation solution to be implemented. In addition to being more accurate, the second-order perturbation results reveal new physical phenomena that could not be predicted by the first-order analysis. Inertia was found to enhance globally the discrepancies between the first- and the second-order perturbation solution. A comparison between the Newtonian and the non-Newtonian solution is carried out and the influences of inertia, modulation amplitude, and wave number are emphasized. The present results show that elasticity has a marked effect on fluid patterns, especially regarding the roll structure and symmetry. The influence of elasticity is greater for larger Rayleigh number and aspect ratio.
authors.affiliation: Laboratoire de Mécanique et Matériaux 1, Ecole Centrale de Nantes, rue de la Noë, Boîte Postale 62116, 44321 Nantes Cedex 03, France.
authors.forename: Séliatou
authors.initials: S
authors.lastname: Kayodé
authors.forename: Roger E
authors.initials: RE
authors.lastname: Khayat