Non-singular Model for Evaporating Sessile Droplets

  • Stanislav Z. Dunin
  • Oleg V. NagornovEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10187)


Evaporation of liquid droplets on solid substrates is used in many technological processes. Complexity and interdependence of the physical processes inside droplet and their mathematical descriptions, phase transitioning, energy and mass balance, points of singularity and thermocappilar effects force researchers to simplify models and to use numerical methods. We derive solution that has not non-singular heat flux at the droplet edge and describes the vapor concentration out of droplet and temperature at the surface. It allowed us to find out the Marangonni force and calculate non-singular velocity field that can change its direction in the stagnation points.


Evaporation Droplets Heat and mass transfer 


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.National Research Nuclear University MEPhIMoscowRussia

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