Heatup of an Initially Isothermal Fluid in an Enclosure with Semi-Conducting Boundaries

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The transient buoyant convective process of an initially isothermal fluid in a closedvertical cylinder for large Rayleigh numbers is studied. The thermal forcing is im-pressed on the interior fluid, through the finitely conducting vetical sidewall, by a sud-den increase in the ambient temperature. The idealized theoretical model due toRahm for one-dimensional temperature evolution in the core is briefly recounted.Finite-difference numerical solutions to the time-dependent Navier-Stokes equationsare acquired. These solutions are qualitatively consistent with the physical picture pro-posed by Rahm. The transient phase of the core temperature field is divided into astratified region and an isothermal region by a propagating temperature front. Thefluid pumping mechanism by the vertical sidewall boundary layer drives acounterclockwise meridional circulation. The global adjustment process is accomplished over the characteristic time scale derived by Rahrn. The difficulties andapplicability of the theoretical model are examined.
社団法人日本物理学会の論文
1987-03-15