Mathematical modeling of random concentracion field and its second moments in semispace with erlangian distributions of layerd inclusions

• Autorzy: Chernukha O. , Bilushchak Y.

Identyfikatory

DOI

10.17466/TQ2016/20.3/C

• Języki publikacji: EN

Abstrakty

EN

The processes of admixture diffusion in a two-phase stratified semispace with random disposition of syblayers are studied by the approach where internal random nonhomogeneities are considered as inner sources and the solution is found in the form of a Neumann series. The diffusion equations are formulated for one-connected regions of each phase and non-ideal contact conditions for the concentration on interphases are imposed. By the theory of generalized functions the contact problem is reduced to the equation of mass transfer in the whole body, which operator includes explicitly jump discontinuities of the concentration function and its derivatives. The obtained initial-boundary value problem of mass transfer is reduced to the equivalent integro-differentual equation. The solution is constructed in the form of a Neumann series and averaged over the ensemble of phase configurations with Erlangian and exponential distributions of inclusions. Dispersion and the two-point correlation function of the concentration field for diffusion are determined taking into account the probable distribution of inclusions, pair interaction of sublayers and the function of phase correlation. The dependence of the behavior of the averaged admixture concentration, field dispersion and the correlation function in the semispace with Erlangian and exponential distributions of inclusions on different medium characteristics is investigated and established.

Słowa kluczowe

EN

diffusion process; randomly inhomogeneous stratified structure; Erlangian distribution; field dispersion; correlation function; Neumann series; averaging over the ensemble of phase configurations

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 2016
• Tom: Vol. 20, No 3
• Strony: 295--334
• Opis fizyczny: Bibliogr. 35 poz., rys.

Twórcy

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 str. 15, 79005 Lviv, Ukraine

autor

Bilushchak Y.

• 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 str. 15, 79005 Lviv, Ukraine

Bibliografia

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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę