zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Numerical study of double-diffusive natural convection in a porous cavity using the Darcy-Brinkman formulation. (English) Zbl 0963.76585
Summary: This paper deals with natural convection in confined porous media, driven by cooperating thermal and solutal buoyancy forces. The physical model for the momentum conservation equation Makes use of the Brinkman extension of the classical Darcy equation, and the set of coupled equations is solved using a finite volume approach. The numerical simulations presented here span a wide range of the main parameters (the Rayleigh and Darcy numbers) in the domain of positive buoyancy numbers and for $Le>1$. When possible, the results are compared with previous numerical data or existing scaling laws. The results are mainly analyzed in terms of the average heat and mass transfers at the walls of the enclosure. Although the mass transfer characteristics are fairly well predicted by the scale analysis, it is shown that convective heat transfer has a specific behavior in given ranges of the governing parameters.

76R10Free convection (fluid mechanics)
76S05Flows in porous media; filtration; seepage
80A20Heat and mass transfer, heat flow
Full Text: DOI