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- W2013449745 abstract "A boundary-layer solution for natural convection in rectangular enclosures containing a porous medium is presented. The Brinkman-extended Darcy model, which allows the no-slip boundary condition to be satisfied, is used in the formulation. The method of solution is based on the modified Oseen technique. The flow field is found to be governed by the parameter E = Ra0Da/A. Except in a thin region next to a wall, as E → 0 the flow field is similar to that given by a pure Darcy analysis. Based on results obtained for the Nusselt number, it is determined that a pure Darcy analysis is applicable when E < orderof 10−4. The accuracies of the present solution and the solution obtained from a pure Darcy approach are examined. On présente une solution de couche limite pour la convection naturelle dans des cavités rectangulaires contenant un milieu poreux. Le modèle élargi Darcy-Brinkman qui satisfait la condition à la limite de non-glissement, est utilisé dans la formulation. La méthode de résolution est basée sur la technique d'Oseen avec modification. Le champ d'écoulement est gouverné par le paramètre E = RaDa/A. Excepté dans une mince région proche de la paroi, lorsque E → 0° l'écoulement est semblable à celui donné par une simple analyse de Darcy. A partir des résultats sur le nombre de Nusselt, on vérifie qu'une analyse de Darcy est applicable quand — est inférieur à 10−4. On examine aussi les précisions de la solution donnée et de la solution obtenue par l'approche simple selon Darcy. Die Lösung der Grenzschichtgleichung bei natürlicher Konvektion in einem rechteckigen Hohlraum, der ein poröses Medium enthält, wird dargestellt. Das nach Brinkman erweiterte Darcy-Modell, das die Haftbedingung an der Wand erfüllt, wird beim Ansatz verwendet. Die Lösung basiert auf der modifizierten Methode von Oseen. Das Strömungsfeld wird durch den Parameter E = Ra0Da/A bestimmt. Lediglich in einer dünnen Schicht in Wandnähe, wenn E → 0, ist das Strömungsfeld ähnlich dem, das man mit dem reinen Darcy-Modell erhält. Aufgrund der Nusselt-Zahl wird festgestellt, daβ das reine Darcy-Modell für E < etwa 10−4 anwendbar ist. Die Genauigkeiten der vorliegenden Lösung und der Lösung, die man mit dem reinen Darcy-Modell erhält, werden untersucht. Пpeдcтaвлeнo peшeшиe зaдaчи пoгpaничнoтo cлoя для ecтecтвeннoй кoнвeкции B пpямoyгoльныч пoлocтяч, эaпoлнeнныч пopиcтoй cpeдoй. B пocтaнoвкe эaдaчи иcпoльэyeтcя мoдeль Бpинкмaнa-Дapcи, кoтopaя пoэвoляeт yдoвлeтвopнть ycлoвию пpилипaния нa гpaницe. эпocoб peщeния ocнoвывaeтcя нa мoдифициpoвaннoй мeтoдикe Oэeeнa. oбнapyжeнo, чтo пoлe cкopocтeй oпpeдeляeтcя пapaмeтpoм E=Ra0Da/A. 3a иcключeниeм нeбoльщoй пpилeгaющeй к cтeпкe oблacти, тдe E → 0 пoлe cкopocтeй пoдoбнo пoлyчeннoмy в пpиближкeнии Дapcи. Ha ocнoвaнин peэyльтaтoв, пoлyчeнныч для чиcлa Hycceльтa, нaйдeнo, чтo чиcтый aнaлиэ Дapcи пpимeним пpи E < ~10−4 Иccлeдyютcя тoчнocти пpeдcтaвлeннoгo peщeния и peщпeния, пoлyчeннoгo иэ пpиближeння Дapcи." @default.
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- W2013449745 date "1985-03-01" @default.
- W2013449745 modified "2023-09-23" @default.
- W2013449745 title "A boundary-layer analysis for natural convection in vertical porous enclosures—use of the Brinkman-extended Darcy model" @default.
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- W2013449745 doi "https://doi.org/10.1016/0017-9310(85)90179-6" @default.
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