Fluid Dynamics

, Volume 11, Issue 2, pp 251–255 | Cite as

Spherical expansion of vapor during evaporation of a droplet

  • V. I. Zhuk


The problem of the evaporation of a spherical particle is solved by a numerical finnite-difference method for the stationary and nonstationary cases on the basis of the generalized Krook kinetic equation [1]. Evaporation into a vacuum and into a flooded space are considered taking into account the reduction in size and cooling of the droplet. The minimum mass outflow is determined for stationary evaporation into a vacuum at small Knudsen numbers. The results are compared with those of other authors for both the spherical and plane problems. Most previous studies have used different approximations which reduce either to linearizing the problem [2, 3] or to use of the Hertz-Knudsen equation [4]. The inaccurate procedure of matching free molecular and diffusive flows at some distance from the surface of the droplet [5] is completely unsuitable in the absence of a neutral gas. Equations for the rate of growth of a droplet in a slightly supercooled vapor were obtained in [6] from a solution of the ellipsoidal kinetic model by the method of (expansion of) moments.


Evaporation Kinetic Model Spherical Particle Kinetic Equation Plane Problem 
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Copyright information

© Plenum Publishing Corporation 1977

Authors and Affiliations

  • V. I. Zhuk
    • 1
  1. 1.Moscow

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