The gas-phase natural convection driven by evaporation of liquids from cylindrical vessels. (English. Russian original) Zbl 0856.76082

Vyatkin, G. P.; Izmailov, Yu. G.; Pisarev, N. M.

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.

Reviewer: H.Kuhlmann (Bremen)

MSC:

76R10	Free convection
76T99	Multiphase and multicomponent flows

Keywords:

Stefan flow; analytical solution; axisymmetric convection; unstable density stratification; Boussinesq-type equations; infinite Schmidt number