WebFig. 4.29 shows the effects of the Rayleigh number and Hartmann number on isotherms and streamlines. For Ra = 10 3, conduction is the dominant mechanism for heat … WebRecent Developments in Rayleigh-Bénard Convection Eberhard Bodenschatz, Werner Pesch, and Guenter Ahlers Annual Review of Fluid Mechanics Small-Scale Properties of Turbulent …
Ultimate Regime of High Rayleigh Number Convection in a
WebThe critical Rayleigh number for onset a layer with stress-free boundaries (appropriate for the surface and for the core-mantle interface) ... For high-Pr fluids, isoviscous convection has been studied for Ra up to 10 9, which includes the range of values estimated for the mantle (10 6 –10 8). WebApr 8, 2024 · The simulations are conducted in a two-dimensional, horizontally-periodic domain with an aspect ratio of 4, and the porosity is varied from 0.7 to 1, while the solute Rayleigh number ranges from 4*10^6 to 4*10^9. curl not found linux
Rayleigh number - Wikipedia
WebFeb 9, 2024 · In this paper, the classical Rayleigh–Bénard convection model is considered and solved numerically for extremely large viscosity variations (i.e., up to $$10^{30}$$ 10 30 ) across the mantle at a high Rayleigh number. The Arrhenius form of viscosity is defined as a cut-off viscosity function. The effects of viscosity variation and viscous dissipation on … WebFeb 1, 2024 · To the best of the authors’ knowledge, there are few reported SPH literatures on natural convection of air with Rayleigh number over 10 6 (R a > 10 6). For high Rayleigh numbers, the main limitation in the SPH framework is that the tensile instability occurs easily in the fluid regions with negative pressure and complex vortices. WebApr 9, 2024 · We present spatially and temporally resolved velocity and acceleration measurements of turbulent Rayleigh–Bénard convection (RBC) in the entire fluid sample of square horizontal cross section with length \(L=320\) mm and height \(H=20\) mm, resulting in an aspect ratio of \(\Gamma =H/L=16\).The working fluid was water with a Prandtl … curl not show response