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Simulation of Flow Regimes of Non-isothermal Liquid Films

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Mathematical Optimization Theory and Operations Research (MOTOR 2019)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1090))

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Abstract

For moderate Reynolds numbers, a nonlinear partial differential equation of the free surface state of a non-isothermal liquid film is presented. The algorithm was developed and the program was written in Matlab R2017b using the Symbolic Math Toolbox module. The wave characteristics of the liquid film under heat and mass transfer are calculated. The flow regimes of a vertical liquid film with a maximum perturbation growth rate are distinguished, and the effect of temperature gradients and surface viscosity on them is investigated.

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Authors and Affiliations

  1. South Ural State University, Pr. Lenina 76, Chelyabinsk, Russia

    Liudmila Prokudina & Dmitrii Bukharev

Authors
  1. Liudmila Prokudina
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  2. Dmitrii Bukharev
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Correspondence to Liudmila Prokudina or Dmitrii Bukharev .

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Editors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    Igor Bykadorov

  2. University of Greenwich, London, UK

    Vitaly Strusevich

  3. University of Aveiro, Aveiro, Portugal

    Tatiana Tchemisova

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Prokudina, L., Bukharev, D. (2019). Simulation of Flow Regimes of Non-isothermal Liquid Films. In: Bykadorov, I., Strusevich, V., Tchemisova, T. (eds) Mathematical Optimization Theory and Operations Research. MOTOR 2019. Communications in Computer and Information Science, vol 1090. Springer, Cham. https://doi.org/10.1007/978-3-030-33394-2_25

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  • DOI: https://doi.org/10.1007/978-3-030-33394-2_25

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-33393-5

  • Online ISBN: 978-3-030-33394-2

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