PMID: 15244738Jul 13, 2004Paper

Spatially modulated thermal convection of viscoelastic fluids

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Séliatou Kayodé, Roger E Khayat

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.

References

Oct 1, 1988·Physical Review A: General Physics·M C Cross
May 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·L Ning, R E Ecke
Oct 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·W ZimmermannF Petruccione
Feb 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·W Zimmermann, R Schmitz
Jun 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·R Schmitz, W Zimmermann

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