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• W2029121065 abstract "The inertia, boundary and velocity-square terms, normally not included in the flow analysis, are included in the study of natural convection between isothermal, concentric cylinders (inner cylinder heated) filled with saturated, porous media. The results show that all of these effects reduce the heat transfer rate with the boundary term being the most significant. It is shown that since at high Rayleigh numbers the flow adjacent to the confining walls becomes of boundary-layer type, with a very thin sublayer over which the velocity reaches its maximum value, then as long as the contribution of the velocity-square term is small, Darcy's model holds for very large Rayleigh and Prandtl numbers. A flow regime diagram showing the pseudo-conduction, Darcy and non-Darcy regimes, is given. Les termes d'inertie, de frontière et de carré de vitesse, normalement ignorés dans l'analyse de l'écoulement sont inclus dans l'étude de la convection naturelle entre des cylindres isothermes, concentriques (cylindre intérieur chaud), avec remplissage par un milieu poreux saturé. Les résultats montrent que tous ces effets réduisent le transfert de chaleur, le terme de frontière étant le plus important. On montre que puisque, aux grands nombres de Reynolds, l'écoulement adjacent aux parois devient du type couche limite avec une très fine sous-couche au-delà de laquelle la vitesse atteint son maximum, aussi longtemps que la contribution du terme de carré de vitesse est faible, le modèle de Darcy est valable pour de très grands nombres de Rayleigh et de Prandtl. On donne un diagramme montrant les régimes de pseudo-conduction, de Darcy et de non Darcy. Die quadratischen Terme für Trägheit, Berandung und Geschwindigkeit, die normalerweise in der Strömungsanalyse nicht berücksichtigt sind, werden in die Untersuchung der natürlichen Konvektion zwischen isothermen konzentrischen Zylindern (innerer Zylinder beheizt), bei denen der Spalt mit einem gesättigten porösen Medium gefüllt ist, einbezogen. Die Ergebnisse zeigen, daβ all diese Effekte den Wärmetransport behindern, wobei der Term für die Berandung der bedeutendste ist. Es zeigt sich, daβ bei hohen Rayleigh-Zahlen die Strömung an den Zylinderwänden vom Typ einer Grenzschichtströmung mit einer sehr dünnen Unterschicht ist, oberhalb der die Geschwindigkeit maximal wird. Solange der Beitrag des quadratischen Geschwindigkeitsterms klein ist, gilt deshalb Darcy's Modell für sehr groβe Rayleigh- und Prandtl-Zahlen. Ein Diagramm der Strömungsbereiche zeigt Gebiete der Pseudo-Wärmeleitung, auβerdem Darcy- und Nicht-Darcy-Gebiete. Пpoвeдeнo иccлeдoвaниe ecтecтвeннoй кoнвeкции мeждy изoтepмичecкими кoнцeнтpичecкими зaпoлнeнными нacьпщeннoй пopиcтoй cpeдoй цилиндpaми (внyтpeнний цилиндp нaгpeт) c yчeтoм влияния инepциoнныx cил, гpaничныx ycлoвий и пpoцeccoв, oпиcывaeмыx квaдpaтичными пo cкopocти члeнaми, чтo oбычнo нe дeлaлocь paнee. B peзyльтaтe пoлyчeнo мeньшee знaчeниe плoтнocти тeплoвoгo пoтoкa, иa кoтopyю бoльшe вceгo влияют ycлoвия нa гpaницe. B cилy тoгo, чтo пpи бoльшиx знaчeнияx чиcлa Pэлeя пoтoк вблизи oгpaничивaющиx cтeнoк пpиoбpeтaeт xapaктep тeчeния в пoгpaничнoм cлoe, в кoтopoм вoзмoжнa мaкcимaльнaя cкopocть в пpeдeдax oчeнь тoнкoгo пoдcлoя, пoкaзaнo, чтo мoдeль Дapcи мoжнo иcпoльзoвaть пpи oчeнь бoльшиx чиcлax Pэлeя и Пpaндтля тoлькo в тoм cлyчae, пoкa влияниe пpoцeccoв, oпиcывaeмыx квaдpaтич. ными пo cкopocти члeнaми, нeзнaчитeльнo. Пpивeдeнa диaгpaммa тeчeний, иллюcтpиpyющaя нaличиe пceвдopeжимa Дapcи и peжимa, нe пoдчиняющeгocя зaкoнy Дapcи." @default.
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• W2029121065 date "1986-10-01" @default.
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• W2029121065 title "Non-Darcian effects on natural convection in porous media confined between horizontal cylinders" @default.
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