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.

Cite this paper

@article{Kayod2004SpatiallyMT, title={Spatially modulated thermal convection of viscoelastic fluids.}, author={S{\'e}liatou Kayod{\'e} and Roger E . Khayat}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2004}, volume={69 6 Pt 2}, pages={066319} }