Double diffusive natural convection of carbon dioxide in two-dimensional cavities filled with brine saturated porous media is numerically investigated in this study. Vertical gradients of carbon dioxide concentration and temperature are imposed across the height of the cavity. The objective is to understand the dissolution of carbon dioxide through natural convection process over long period of...

In this paper we study a nonlocal equation that takes into account convective and diffusive effects, ut = J ∗u−u+G ∗ (f(u))− f(u) in R, with J radially symmetric and G not necessarily symmetric. First, we prove existence, uniqueness and continuous dependence with respect to the initial condition of solutions. This problem is the nonlocal analogous to the usual local convection-diffusion equatio...

A review is presented on the laboratory experiments and simulations on the convection onset of a supercritical fluid, He, in a Rayleigh-Bénard cell after the start of a steady heat flow q from the bottom wall at the time t=0. The experiments were conducted at several temperatures along the critical isochore and over a wide range of q, and measured the temperature drop ∆T(t) across the fluid lay...

Finite element discretizations of multiphysics problems frequently give rise to blockstructured linear algebra problems that require effective preconditioners. We build two classes of preconditioners in the spirit of well-known block factorizations [21, 16] and apply these to the diffusive portion of the bidomain equations and the Bénard convection problem. An abstract generalized eigenvalue pr...

Convection in the liquid outer core of Earth is driven by thermal and chemical perturbations. The main purpose this study to examine impact double-diffusive convection on magnetic field generation means 3D global geodynamo models, so-called "top-heavy" regime convection, when both compositional background gradients are destabilizing. Using a linear eigensolver, we begin confirming that, compare...

The onset of double diffusive convection in a binary viscoelastic fluid saturated porous layer, which is heated and salted from below in the presence of Soret effect is studied using both linear and nonlinear stability analyses. The linear theory is being related to the normal mode method. The modified Darcy law for the viscoelastic fluid of the Oldroyd type is used to model the momentum equati...

On the basis of Kedem-Katchalsky's equations in classical and modified versions, the model equations of volume and solute fluxes were presented. In this model the osmotic volume flux is a sum of: simple osmotic, osmotic connected with natural convection and osmotic connected with forced convection fluxes. The solute flux is a sum of: simple diffusion, diffusion connected with natural convection...

We explore the possibility that large-scale convection be inhibited over some regions of giant planet interiors, as a consequence of a gradient of composition inherited either from their formation history or from particular events like giant impacts or core erosion during their evolution. Under appropriate circumstances, the redistribution of the gradient of molecular weight can lead to double ...

Abstract In this short paper, some analytical results found in “Double-diffusive Soret convection phenomenon porous media: effect of Vadasz inertia term” by F. Capone, R. De Luca, M. Vitiello, Ricerche Mat. 68, 581–595 (2019), are recalled order to better explore the dynamic thermosolutal a horizontal layer with influence and terms.