Analysis of Transport Processes for Layered Porous Materials Used in Industrial Applications

H. Neunzert, A. Zemitis, K. Velten and O. Iliev
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H. Neunzert: Institute of Industrial Mathematics
A. Zemitis: Institute of Industrial Mathematics
K. Velten: Institute of Industrial Mathematics
O. Iliev: Institute of Industrial Mathematics

A chapter in Mathematics — Key Technology for the Future, 2003, pp 243-251 from Springer

Abstract: Abstract This work was aimed at the development of mathematical models and corresponding numerical solution and parameter estimation procedures which are needed as a basis for the computer-aided design of layered porous materials for industrial applications (e.g., hygienic products, technical textiles). The applications lead to nonlinear partial differential equations which must be solved in complex 3D geometries in many cases. Additionally, they may involve saturated/unsaturated flow, coupled flow and deformation problems, swelling particles, large jumps of the material parameters at the interfaces, convection dominance and complex boundary conditions. We introduce a generic mathematical model for layered porous materials, discuss some of the numerical aspects with an emphasis on 3D geometry description and present example applications.

Keywords: Porous Material; Liquid Saturation; Technical Textile; Generic Mathematical Model; Hygienic Product (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55753-8_20

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DOI: 10.1007/978-3-642-55753-8_20

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