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Mathematical modeling of near-wall flows of two-phase mixture with evaporating droplets

  • Wang Bo-yi
  • A. N. Osiptsov
Article

Abstract

In the framework of the two-continuum approach, using the matched asymptotic expansion method, the equations of a laminar boundary layer in mist flows with evaporating droplets were derived and solved. The similarity criteria controlling the mist flows were determined. For the flow along a curvilinear surface, the forms of the boundary layer equations differ from the regimes of presence and absence of the droplet inertia deposition. The numerical results were presented for the vapor-droplet boundary layer in the neighborhood of a stagnation point of a hot blunt body. It is demonstrated that, due to evaporation, a droplet-free region develops near the wall inside the boundary layer. On the upper edge of this region, the droplet radius tends to zero and the droplet number density becomes much higher than that in the free stream. The combined effect of the droplet evaporation and accumulation results in a significant enhancement of the heat transfer on the surface even for small mass concentration of the droplets in the free stream.

Key words

two-phase mixture near-wall flow mist boundary layer droplet evaporation heat transfer accumulation effect 

CLC number

O359 

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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 1980

Authors and Affiliations

  • Wang Bo-yi
    • 1
  • A. N. Osiptsov
    • 2
  1. 1.LNM, Institute of MechanicsChinese Academy of SciencesBeijingP R China
  2. 2.Institute of MechanicsMoscow State UniversityMoscowRussia

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