Simulation of Diffusion Flows in Two-Phase Multilayered Stochastically Nonhomogeneous Bodies with Non-Uniform Distribution of Inclusions

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

Abstrakty

EN

Admixture diffusion flows are investigated in two-phase randomly nonhomogeneous multilayered strips with non-uniform distributions of inclusions. Cases where the most probable disposition of layered inclusions is located near the body boundary on which the mass source acts in the neighborhood of another boundary and in the middle of the body are considered. The initial-boundary value problem is formulated for the function of random mass flow under conditions of a constant flow on the upper surface and zero concentration of the admixture on the lower surface. Calculation formulae are obtained for the diffusion flow averaged over the ensemble of phase configurations in the particular cases of beta-distribution at zero and nonzero initial concentrations. The dependences of the averaged admixture flows on medium characteristics are established. It is shown that if the admixture diffusion coefficient in inclusions is greater than in the matrix, consolidation of inclusions in the middle of the body leads to an increasing diffusion flow. Simulation of the averaged diffusion flows of the admixture in the multilayered strip is performed for different model variants of a probable disposition of phases in the body and their comparative analysis is carried out.

Słowa kluczowe

EN

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

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 2015
• Tom: Vol. 19, No 3
• Strony: 321--351
• Opis fizyczny: Bibliogr. 24 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, Ukrain

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, Ukrain

Bibliografia

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