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|標題:||Computation of buoyancy-driven flow in an eccentric centrifugal annulus with a non-orthogonal collocated finite volume algorithm||作者:||Char, M.I.
|關鍵字:||mixed convection;finite volume algorithm;eccentricity;Nusselt number;laminar mixed convection;rotating inner cylinder;natural-convection;heat-transfer;horizontal cylinders;cylindrical annuli;fields;scheme||Project:||International Journal for Numerical Methods in Fluids||期刊/報告no：:||International Journal for Numerical Methods in Fluids, Volume 26, Issue 3, Page(s) 323-343.||摘要:||
A computational study is performed on two-dimensional mixed convection in an annulus between a horizontal outer cylinder and a heated, rotating, eccentric inner cylinder. The computation has been done using a non-orthogonal grid and a fully collocated finite volume procedure. Solutions are iterated to convergence through a pressure correction scheme and the convection is treated by Van Leer's MUSCL scheme. The numerical procedure adopted here can easily eliminate the 'Numerical leakage' phenomenon of the mixed convection problem whereby strong buoyancy and centrifugal effects are encountered in the case of a highly eccentric annulus. Numerical results have been obtained for Rayleigh number Ra ranging from 7 x 10(3) to 10(7), Reynolds number Re from 0 to 1200 and Prandtl number Pr from 0.01 to 7. The mixed rotation parameter sigma (= Ra/PrRe2) varies from infinity (pure natural convection) to 0.01 with various eccentricities epsilon. The computational results are in good agreement with previous works which show that the mixed convection heat transfer characteristics in the annulus are significantly affected by sigma and epsilon. The results indicate that the mean Nusselt number Nu increases with increasing Ra or Pr but decreases with increasing Re. In the case of a highly eccentric annulus the conduction effect becomes predominant in the throat gap. Hence the crucial phenomenon on whereby Nu first decreases and then increases can be found with increasing eccentricity. (C) 1998 John Wiley & Sons, Ltd.
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