Journal of Mathematical Sciences

, Volume 201, Issue 2, pp 245–261 | Cite as

Mathematical Modeling of the Steady-State Processes of Convective Diffusion in Regular Structures Under Mixed Boundary Conditions

  • O. Yu. Chernukha
  • V. A. Dmytruk

We study steady-state processes of the mass transfer of admixtures in two-phase regular structures with regard for the periodic character of convective phenomena under mixed boundary conditions. To construct the exact analytic solutions of contact boundary-value problems of this kind, we adapt the method based on the use of different integral transformations in different contacting domains. A relation between these integral transformations is established by using the conditions of imperfect contact. We obtain the analytic solution of the diffusion problem for a two-phase layer of regular structure with regard for convective transfer in one of the phases with preservation of a constant concentration on the surface of this phase and a constant diffusion flow on the boundary of the other phase. The mass flows through the internal interface contact surface are investigated and numerical analysis of the concentration of migrating particles in structural elements of the body is performed.




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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • O. Yu. Chernukha
    • 1
  • V. A. Dmytruk
    • 1
    • 2
  1. 1.Center of Mathematical Modeling, Pidstryhach Institute for Applied Problems in Mechanics and MathematicsUkrainian National Academy of SciencesLvivUkraine
  2. 2.“L’vivs’ka Politekhnika” National UniversityLvivUkraine

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