On the two-component Benard problem a numerical solution

Autor:	Jean Claude Legros, D. Longree, G. Chavepeyer, Jean Karl Platten
Rok vydání:	1975
Předmět:	Statistics and Probability Variational method Density gradient Component (thermodynamics) Mathematical analysis Boundary value problem Rayleigh number Condensed Matter Physics Divergence (statistics) Thermal diffusivity Approximate solution Mathematics
Zdroj:	Physica A: Statistical Mechanics and its Applications. 80:76-88
ISSN:	0378-4371
DOI:	10.1016/0378-4371(75)90147-8
Popis:	A numerical solution for the two-component Benard problem is presented, taking into account the contribution of thermal diffusion to the total density gradient. The results are compared with the approximate solution obtained by the variational technique of the local potential introduced some years ago by Glansdorff and Prigogine. The results calculated by the two methods are in agreement when the Soret coefficient is not too large. But when the gradients become important, the exact numerical solution presented here shows a small divergence from the variational method. The critical Rayleigh number is also compared with the one extrapolated from the analytical solution obtained for free boundary conditions.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::729630e4023793f67e1c471184f47b63 https://doi.org/10.1016/0378-4371(75)90147-8 Zobrazit plný text záznamu