期刊
INTERNATIONAL JOURNAL OF MULTIPHASE FLOW
卷 67, 期 -, 页码 25-36出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijmultiphaseflow.2014.07.013
关键词
Porous media; Lubrication; Reduced-order model; Shell element; Finite element method; Nano-manufacturing
类别
资金
- U.S. Department of Energy's National Nuclear Security Administration [DE-AC04-94AL85000]
Darcy's equations are frequently used as a coarse-grained numerical expedient for modeling multiphase flow through complex porous materials. In some applications, the porous material may be quite thin, allowing the possibility of further simplification of the equations. In this paper we derive a reduced-order shell finite-element model for flow through thin porous materials using an approach similar to that taken to derive the Reynolds' lubrication equation. We advance first a formulation that addresses generalized unstructured porous materials and then specialize the equations for certain structured cases. We also extend the model to account for multiphase, confined lubrication flow in an adjoining layer and gas transport within the pores. We apply the model to several problems of topical interest in micro- and nano-manufacturing processes. (C) 2014 Elsevier Ltd. All rights reserved.
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