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Diffusion in spatially and temporarily inhomogeneous media: Effects of turbulent mixing

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We consider diffusion of a passive substance C in a phase-separating nonmiscible binary alloy under turbulent mixing. The substance is assumed to have different diffusion coefficients in the pure phases A and B, leading to a spatially and temporarily dependent diffusion ¿coefficient¿ in the diffusion equation plus convective term. In this paper we consider especially the effects of a turbulent flow field coupled to both the Cahn-Hilliard type evolution equation of the medium and the diffusion equation (both, therefore, supplemented by a convective term). It is shown that the formerly observed prolonged anomalous diffusion [H. Lehr, F. Sagués, and J.M. Sancho, Phys. Rev. E 54, 5028 (1996)] is no longer seen if a flow of sufficient intensity is supplied.

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LEHR, Heiner, SAGUÉS I MESTRE, Francesc, SANCHO, José m.. Diffusion in spatially and temporarily inhomogeneous media: Effects of turbulent mixing. _Physical Review E_. 1997. Vol. 56, núm. 2, pàgs. 1660-1666. [consulta: 20 de gener de 2026]. ISSN: 1539-3755. [Disponible a: https://hdl.handle.net/2445/18698]

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