Flow bifurcations in a cubical cavity heated from below at Pr = 130

ORAL

Abstract

Bifurcation diagrams of steady convective flow patterns inside a cubical cavity heated from below and filled with silicone oil (Pr = 130) were determined for adiabatic and perfectly conducting lateral walls. The diagrams were obtained for Rayleigh numbers up to 1.5 10$^{5}$ by means of a parameter continuation procedure based on the Galerkin spectral method. A complete set of basis functions satisfying implicitly all boundary conditions and the continuity equation was used to expand the velocity and the temperature fields. Present results are in agreement with experimental PIV data and visualizations previously reported in the literature for both adiabatic and perfectly conducting lateral walls boundary conditions.

Authors

  • Dolors Puigjaner

    Dept. Enginyeria Inform\`{a}tica i Matem\`{a}tiques, Universitat Rovira i Virgili, Tarragona, Catalunya, Spain

  • Joan Herrero

  • Francesc Giralt

    Dept. Enginyeria Qu\'{i}mica, Universitat Rovira i Virgili, Tarragona, Catalunya, Spain

  • Carles Simo

    Departament d'Matem\`{a}tica Aplicada i An\`{a}lisi, Universitat de Barcelona, Barcelona, Catalunya, Spain