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Evaporation of liquids from cylindrical vessels under conditions of free concentrational convection in a gas phase

  • Yu. G. Izmailov
  • N. M. Pisarev
  • G. P. Vyatkin
Article

Abstract

An analytical solution is obtained for the axisymmetric problem of free concentrational convection in a vapor-gas mixture with isothermal evaporation of liquids from open cylindrical vessels. Formulas are derived to calculate concentration fields, local and integral mass fluxes of vapor. A comparative analysis of the results of analytical and numerical simulation is carried out for the processes of the evaporation of liquids under the conditions of convective mass transfer.

Keywords

Evaporation Convection Mass Transfer Statistical Physic Comparative Analysis 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notation

p

pressure, Pa

ρ

density, kg/m3

v

velocity, m/sec

η, ν

dynamic and kinematic viscosity, Pa·sec, m2/sec

D

diffusion coefficient, m2/sec

ω1, ω2

mass fractions of vapor and gas in a mixture

g

free fall acceleration, m/sec2

M1,M2

molar masses of vapor and gas, kg/kmole

νr, νz

radial and axial components of the velocity of a gas-vapor mixture, m/sec

r, z

cylindrical coordinates, m

R, H

radius and height of vessel, m

j

local mass flux of vapor, kg/(m2·sec)

j

vessel cross-sectional area-averaged mass flux of vapor, kg/(m2·sec)

j

vessel cross-sectional area-averaged mass flux

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References

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    L. D. Landau and E. M. Lifshits, Hydrodynamics [in Russian], Moscow (1986).Google Scholar
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    E. M. Sparrow, G. A. Nunez, and A. T. Prata, Int. J. Heat and Mass Transfer,28, No. 8, 1451–1460 (1985).Google Scholar
  3. 3.
    A. P. Prudnikov, Yu. A. Brychkov, and O. N. Marichev, Integrals and Series. Special Functions, Issue 2 [in Russian], Moscow (1983).Google Scholar
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    R. B. Bird, W. E. Stewart, and E. Lighfoot, Transport Phenomena [Russian translation], Moscow (1974).Google Scholar
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    M. M. Viktorov, Methods of Calculation of Physicochemical Quantities and Applied Computations [in Russian], Leningrad (1977).Google Scholar
  6. 6.
    R. Rid, D. Prausnits, and T. Sherwood, The Properties of Gases and Liquids [Russian translation], Leningrad (1982).Google Scholar

Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • Yu. G. Izmailov
  • N. M. Pisarev
  • G. P. Vyatkin

There are no affiliations available

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