Modeling Unsaturated Flow in Absorbent Swelling Porous Media: Part 1. Theory

被引：27
|
作者：
Diersch, Hans-Joerg G. [1 ]
Clausnitzer, Volker [1 ]
Myrnyy, Volodymyr [1 ]
Rosati, Rodrigo [2 ]
Schmidt, Mattias [2 ]
Beruda, Holger [2 ]
Ehrnsperger, Bruno J. [2 ]
Virgilio, Raffaele [3 ]
机构：
[1] DHI Wasy GmbH, D-12526 Berlin, Germany
[2] Procter & Gamble Serv GmbH, D-65824 Schwalbach, Germany
[3] Procter & Gamble Serv Co SA, B-1853 Strombeek Bever, Belgium
来源：
TRANSPORT IN POROUS MEDIA | 2010年 / 83卷 / 03期
关键词：
Unsaturated flow; Absorbent gelling material; Swelling porous media; Capillary hysteresis; Diaper core flow modeling;
D O I：
10.1007/s11242-009-9454-6
中图分类号：
TQ [化学工业];
学科分类号：
0817 ;
摘要：
The flow and deformation processes in swelling porous media are modeled for absorbent hygiene products (e.g., diapers, wipes, papers etc.). The first part of the article derives the fundamental equations for the hysteretic unsaturated flow, liquid absorption, and large deformation. The final set of model equations consists of balance equations of mobile and absorbed (immobile) liquid combined with a series of constitutive relationships. The resulting equation system is strongly nonlinear and requires advanced numerical strategies for solving. The second part of the article focuses on numerical solution and presents simulation results for 2D and 3D applications.
引用
收藏
页码：437 / 464
页数：28
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