Three-dimensional diffusion in a multiphase body with randomly disposed inclusions of a spherical form

International Journal of Heat and Mass Transfer

Volumn 46, Issue 17, 2003, Pages 3323-3328

  Chaplia, Yevgen ^a,b   Chernukha, Olha ^a  

^a INSTITUTE OF HYDROBIOLOGY   (Ukraine)

^b KAZIMIERZ WIELKI UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFUSION; MULTIPHASE FLOW; PROBLEM SOLVING; SURFACES;

SPHERICAL INCLUSIONS;

HEAT CONVECTION;

ADMIXTURE; DIFFUSION; GEOMETRICAL EFFECT; THREE-DIMENSIONAL FLOW;

EID: 0038133452     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0017-9310(03)00123-6     Document Type: Article

References (17)

1. Crank J.C. The Mathematics of Diffusion 1975 Clarendon Press Oxford
2. Lykov A.V. The Theory of Heat Transfer 1978 Vyshaya Shkola Moskow pp. 34-41, 76, 363-405
3. Podstrigach Y.S. Lomakin V.A. Kolyano Y.M. Thermoelasticity of Bodies with Nonhomogeneous Structure 1984 Nauka Moscow
4. Lydzba D. Homogenization theories applied to porous media mechanics J. Theor. Appl. Mech. 36 3 1998 657-679
5. Matysiak S.J. Mieszkowski R. On homogenization of diffusion processes in microperiodic stratified bodies Int. J. Heat Mass Transfer 26 1999 539-547
6. Kanovsky I.Y. Tkachenko I.V. An effective diffusion coefficient in a nonhomogeneous medium Ukrainian Phys. J. 36 3 1991 432-434
7. Lyubov B.Y. Diffusion Processes in Nonhomogeneous Media 1981 Nauka Moscow
8. Shatinsky V.F. Nesterenko A.I. Protective Diffusive Coverages 1978 Naukova Dumka Kyiv pp. 4-88
9. Burak Y.Y. Galapats B.P. Chaplia Y.Y. Deformation of electroconductive bodies allowing for heterodiffusion of charged admixture particles Phys. Chem. Mech. Mater. 5 1980 8-14
10. Aifantis E.S. On the problem of diffusion in solids Acta Mech. 3-4 1980 265-296
11. Y.Y. Burak, Y.Y. Chaplia, Basic statements for the mathematical model of heterodiffusive transfer in subsurface layers of Earth, Reports of Ukrainian Academy of Sciensies, No. 10, 1993, pp. 59-63
12. Chernukha O. On diffusion processes in a two-phase random nonhomogeneous stratified semispace Int. J. Heat Mass Transfer 44 2001 2535-2539
13. Chernukha O. Admixture diffusion in a semispace with random thin interlayers Mashinoznavstvo 11 41 2000 20-24
14. Chaplia Y. Chernukha O. Admixture diffusion in a two-phase random nonhomogeneous stratified layer J. Theor. Appl. Mech. 39 4 2001 929-946
15. O. Chernukha, On an approach for construction of solutions of initial-boundary value problems of diffusion in multiphase random nonhomogeneous stratified bodies, Reports of Ukrainian National Academy of Sciences, No. 9, 2001, pp. 37-42
16. Vladimirov V.S. Equations of Mathematical Physics 1976 Nauka Moskow pp. 84-196
17. Rytov S.M. Kravtsov Y.A. Tatarsky B.I. Introduction into Statistical Radio Physics. II. Random Fields 1978 192-200 Nauka Moskow