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International Conference on Numerical Analysis and Its Applications

NAA 2016: Numerical Analysis and Its Applications pp 311–316Cite as

Non-singular Model for Evaporating Sessile Droplets

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10187))

Abstract

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.

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Author information

Authors and Affiliations

  1. National Research Nuclear University MEPhI, Kashirskoe shosse, 31, 115409, Moscow, Russia

    Stanislav Z. Dunin & Oleg V. Nagornov

Authors
  1. Stanislav Z. Dunin
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  2. Oleg V. Nagornov
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Corresponding author

Correspondence to Oleg V. Nagornov .

Editor information

Editors and Affiliations

  1. Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Ivan Dimov

  2. Department of Applied Analysis, Eötvös Loránd University, Budapest, Hungary

    István Faragó

  3. Department of Applied Mathematics and Statistics, University of Rousse, Ruse, Bulgaria

    Lubin Vulkov

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Dunin, S.Z., Nagornov, O.V. (2017). Non-singular Model for Evaporating Sessile Droplets. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Numerical Analysis and Its Applications. NAA 2016. Lecture Notes in Computer Science(), vol 10187. Springer, Cham. https://doi.org/10.1007/978-3-319-57099-0_33

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  • DOI: https://doi.org/10.1007/978-3-319-57099-0_33

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-57098-3

  • Online ISBN: 978-3-319-57099-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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