Abdelfattah Zebib

TL;DR: In this paper, the authors presented numerical calculations for the steady three-dimensional structure of thermal convection of a fluid with strongly temperature-dependent viscosity in a bottom-heated rectangular box.

TL;DR: In this article, weakly nonlinear theory and finite-difference calculations are used to describe steadystate and oscillatory convective heat transport in water-saturated porous media, and the results indicate that the variation of the Nusselt number with the ratio of the actual Rayleigh number to the corresponding critical value R/Rc is independent of the temperature difference for the range considered.

TL;DR: In this article, nonlinear convective solutions for a shell with properties characteristic of the earth's whole mantle for Rayleigh numbers up to 70,000 were presented, and two distinct convective patterns (cubic and tetrahedral) were identified which are closely related to the geometric planforms predicted by the analytical theories of slightly supercritical spherical convection.

TL;DR: In this paper, the authors report results from microgravity experiments on thermocapillary convection in open annuli with outer radius Ro :40 mm and inner radius Ri : 20 mm of various aspect ratios Ar. The measurements are from more than 230 equilibrated states in the Ar Marangoni-number space.

TL;DR: In this paper, the character and stability of two-dimensional thermocapillary driven convection are investigated by numerical simulations, where Hopf bifurcation neutral curves are delineated for fluids with Prandtl numbers (Pr) 10.0, 6.78, 4.4 and 1.4.