Rayleigh-Bénard-Marangoni Convection in an Open Cylindrical Container Heated by a Non-Uniform Flux

Rachid Es Sakhy (1) , Kamal El Omari (1) , Yves Le Guer (1) , Serge Blancher (1)

1 SIAME - Laboratoire des Sciences de l'Ingénieur Appliquées à la Mécanique et au génie Electrique

The numerical work presented in this paper concerns the three-dimensional simulation of the natural convection in a liquid film contained in a cylindrical container with a bottom of solid substrate heated from below by a non-uniform heat flux. Both buoyancy and thermocapillarity are considered in addition to heat conduction within the solid substrate. The Navier–Stokes and energy equations are solved by a 3D finite volume method. Original morphologies of stationary convective cells (type and number) are observed. The flow patterns were found to depend on several studied dimensionless numbers, which are Rayleigh, Biot and Marangoni numbers, and on the ratio of the thermal conductivities of the solid substrate and the fluid.

Domaines: Physique [physics]

Rachid Es Sakhy, Kamal El Omari, Yves Le Guer, Serge Blancher. Rayleigh-Bénard-Marangoni Convection in an Open Cylindrical Container Heated by a Non-Uniform Flux. International Journal of Thermal Sciences, 2014, 86, pp.198-209. ⟨10.1016/j.ijthermalsci.2014.06.036⟩. ⟨hal-02153667⟩