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Effective surface and boundary conditions for heterogeneous surfaces with mixed boundary conditions

Guo, Jianwei and Veran-Tissoires, Stéphanie and Quintard, Michel Effective surface and boundary conditions for heterogeneous surfaces with mixed boundary conditions. (2016) Journal of Computational Physics, 305. 942-963. ISSN 0021-9991

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Official URL: http://dx.doi.org/10.1016/j.jcp.2015.10.050

Abstract

To deal with multi-scale problems involving transport from a heterogeneous and rough surface characterized by a mixed boundary condition, an effective surface theory is developed, which replaces the original surface by a homogeneous and smooth surface with specific boundary conditions. A typical example corresponds to a laminar flow over a soluble salt medium which contains insoluble material. To develop the concept of effective surface, a multi-domain decomposition approach is applied. In this framework, velocity and concentration at micro-scale are estimated with an asymptotic expansion of deviation terms with respect to macro-scale velocity and concentration fields. Closure problems for the deviations are obtained and used to define the effective surface position and the related boundary conditions. The evolution of some effective properties and the impact of surface geometry, Péclet, Schmidt and Damköhler numbers are investigated. Finally, comparisons are made between the numerical results obtained with the effective models and those from direct numerical simulations with the original rough surface, for two kinds of configurations.

Item Type:Article
Additional Information:Thanks to Elsevier editor. The definitive version is available at http://www.sciencedirect.com The original PDF of the article can be found at Journal of Computational Physics website : http://www.sciencedirect.com/science/article/pii/S0021999115007275
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Other partners > Tufts University (USA)
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Deposited On:14 Dec 2015 10:30

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