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The gas-phase natural convection driven by evaporation of liquids from cylindrical vessels. (English. Russian original) Zbl 0856.76082
Phys.-Dokl. 39, No. 7, 471-473 (1994); translation from Dokl. Akad. Nauk 337, No. 2, 177-179 (1994).
An analytical solution is presented for axisymmetric convection in an upright cylindrical container. The motion is driven by an unstable density stratification of a light gas below a heavier gas. The light gas is continuously fed to the volume by evaporation of liquid from the bottom of the container. The solution is obtained for Boussinesq-type equations in the limit of infinite Schmidt number (creeping flow) and for a particular set of boundary conditions. It has the property that the convective motion ceases at a certain height above which the transport is purely diffusive. The results are compared with diffusion controlled evaporation and with numerical calculations.
MSC:
76R10 Free convection
76T99 Multiphase and multicomponent flows
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