Thermally-Forced Stratification Build-Up in an Inititally Isothermal,Contained Fluid
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概要
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A study is made of transient motions of an initially isothermal, containedfluid in response to an impulsively imposed vertical temperature gradient at theboundaries. Finite-difference numerical solutions have been obtained for aBoussinesq fluid in a circular cylinder with the final state temperature profilelinear in the vertical coordinate, with large Rayleigh numbers. New details of thetransient flow and the development of temperature field are presented. Descrip-tions are given for the fundamental mechanism of meridional circulation driven bybuoyant boundary layer pumping. A propagating front divides the temperaturefield into two regions ; ahead of the front, the fluid remains to be non-stratified, andbehind the front the fluid is being stratified. The flow evolution in the core behavesin a decaying oscillatory manner. The oscillatory nature is due to the presenceof internal waves. The temperature evolution in the core is less oscillatory. Thetemperature adjustment process is governed primarily by the diffusive effects atvery early times, by advection at intermediate times, and by the diffusion effects atvery large times. Specific comparisons of the terms in the vorticity equation are
- 社団法人日本物理学会の論文
- 1985-03-15