A Variant of the Fourier Series in a Spherical Domain and Its Application to Modeling the Evaporation of a Water ... View Full Text


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Article Info

DATE

2022-02

AUTHORS

Kh. Hallaci, H. Fujita Yashima

ABSTRACT

We consider a boundary value problem for a system of two linear partial differential equations of parabolic type describing the behavior of temperature and vapor density in a spherical droplet and its vicinity during the evaporation process. To study this problem, we construct a variant of the Fourier series in a spherical domain for functions with spherical symmetry. Using this series, we prove the existence and uniqueness of the solution of the problem under consideration with an unusual coupling condition for the equations, which is characteristic of evaporation. More... »

PAGES

207-226

References to SciGraph publications

  • 2014. Droplets and Sprays in NONE
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1134/s0012266122020070

    DOI

    http://dx.doi.org/10.1134/s0012266122020070

    DIMENSIONS

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