Mathematical Modeling of Random Diffusion Flows in Two-Phase Multilayered Stochastically Nonhomogeneous Bodies

• Autorzy: Chaplya Y. , Chernukha O. , Davydok A.
• Języki publikacji: EN

Abstrakty

EN

An approach for studying stochastical diffusion flows of admixture particles in bodies of multiphase randomly nonhomogeneous structures is proposed, according to which initialboundary value problems of diffusion are formulated for flow functions and methods of solution construction are adapted for the formulated problems. By this approach the admixture diffusion flow is investigated in a two-phase multilayered strip for the uniform distribution of phases under conditions of constant flow on the upper surface and zero concentration of admixture on the lower surface. An integro-differential equation equivalent to the original initial-boundary value problem is constructed. Its solution is found in terms of the Neumann series. Calculation formulae are obtained for the diffusion flow averaged over the ensemble of phase configurations under both zero and constant nonzero initial concentrations. Software is developed, a dependence of averaged diffusion flows on the medium characteristics is studied and general regularities of this process are established.

Słowa kluczowe

EN

diffusion process; mass flow; random structure; Neumann series; averaging over the ensemble of phase configurations

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 2015
• Tom: Vol. 19, No 3
• Strony: 297--320
• Opis fizyczny: Bibliogr. 23 poz., rys.

Twórcy

autor

Chaplya Y.

• Institute of Mechanics and Applied Informatics, Kazimierz Wielki University in Bydgoszcz, Kopernika 1, 85-064 Bydgoszcz, Poland
• Centre of Mathematical Modelling of Y. S. Pidstryhach Institute of Applied Problems of Mechanics and Mathematics of the National Academy of Sciences of Ukraine, D. Dudayev 15, 79005 Lviv, Ukraine

autor

Chernukha O.

• Centre of Mathematical Modelling of Y. S. Pidstryhach Institute of Applied Problems of Mechanics and Mathematics of the National Academy of Sciences of Ukraine, D. Dudayev 15, 79005 Lviv, Ukraine

autor

Davydok A.

• Centre of Mathematical Modelling of Y. S. Pidstryhach Institute of Applied Problems of Mechanics and Mathematics of the National Academy of Sciences of Ukraine, D. Dudayev 15, 79005 Lviv, Ukraine

Bibliografia

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