# zbMATH — the first resource for mathematics

##### Examples
 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.

##### Operators
 a & b logic and a | b logic or !ab logic not abc* right wildcard "ab c" phrase (ab c) parentheses
##### Fields
 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)
Multiple solutions for double-diffusive convection in a vertical porous enclosure. (English) Zbl 0925.76631
Summary: A numerical study is made of double-diffusive natural convection in a rectangular fluid-saturated vertical porous enclosure. The flows are driven by conditions of uniform heat and mass fluxes imposed along the two vertical side walls of the cavity where the two buoyancy effects can either augment or counteract each other. An extensive series of numerical simulations is conducted in the range $1\leq R_T\leq 165$, $1\leq Le\leq 10^3$, $-20 \leq N\leq 20$ and $A=1$, where $R_T$, $Le$, $N$ and $A$ are the Darcy-modified Rayleigh number, Lewis number, buoyancy ratio and aspect ratio of the enclosure, respectively. For aiding flows $(N > 0)$ the behaviour of the resulting double-diffusive convection is in qualitative agreement with the available numerical results. For opposing flows $(N<0)$ the existence of multiple steady states is demonstrated. It is determined that, for a given value of $N$, both Lewis and Rayleigh numbers have an influence on the domain of existence of these multiple steady states. Comprehensive Nusselt and Sherwood number data are presented as functions of the governing parameters mentioned above. The effects of the buoyancy ratio are found to be rather significant on the flow pattern and heat and mass transfer, especially for the opposing flows.

##### MSC:
 76R10 Free convection (fluid mechanics) 76S05 Flows in porous media; filtration; seepage 76R50 Diffusion (fluid mechanics) 80A20 Heat and mass transfer, heat flow
Full Text: