Computational Simulation of Chemical Osmosis Induced Flow and Solute Concentration Variation Problems in Solution-Saturated Semi-permeable Porous Materials
Chongbin Zhao, Yao Liu, B. E. Hobbs, A. Ord, Xiangtao Zhang
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引用次数: 0
Abstract
The fundamental characteristic of a semi-permeable porous material is that the solvent is allowed to pass through it but the solute is not. Due to this characteristic, a solute concentration gradient can drive chemical osmosis flow in the solution-saturated semi-permeable porous material. Although analytical solutions have been derived for one-dimensional chemical osmosis induced flow and solute concentration variation problems, computational simulations of two-dimensional chemical osmosis induced flow and solute concentration variation problems remain lacking to date. To fill this gap, a new mathematical model is first established, in this paper, for describing two-dimensional chemical osmosis induced flow and solute concentration variation problems in solution-saturated semi-permeable porous materials. Then a computational simulation procedure, which contains the finite difference and finite element methods, is proposed to solve the partial differential equations involved in the established mathematical model. For the purpose of verifying the proposed computational simulation procedure, the analytical solution of a benchmark problem has been derived mathematically. The related computational simulation results have demonstrated that: (1) the proposed computational simulation procedure is correct and accurate for solving chemical osmosis induced flow and solute concentration variation problems; and (2) the applied boundary conditions have significant effects on the computational simulation results of two-dimensional chemical osmosis induced flow and solute concentration variation problems in the solution-saturated semi-permeable porous material.
期刊介绍：
-Publishes original research on physical, chemical, and biological aspects of transport in porous media-
Papers on porous media research may originate in various areas of physics, chemistry, biology, natural or materials science, and engineering (chemical, civil, agricultural, petroleum, environmental, electrical, and mechanical engineering)-
Emphasizes theory, (numerical) modelling, laboratory work, and non-routine applications-
Publishes work of a fundamental nature, of interest to a wide readership, that provides novel insight into porous media processes-
Expanded in 2007 from 12 to 15 issues per year.
Transport in Porous Media publishes original research on physical and chemical aspects of transport phenomena in rigid and deformable porous media. These phenomena, occurring in single and multiphase flow in porous domains, can be governed by extensive quantities such as mass of a fluid phase, mass of component of a phase, momentum, or energy. Moreover, porous medium deformations can be induced by the transport phenomena, by chemical and electro-chemical activities such as swelling, or by external loading through forces and displacements. These porous media phenomena may be studied by researchers from various areas of physics, chemistry, biology, natural or materials science, and engineering (chemical, civil, agricultural, petroleum, environmental, electrical, and mechanical engineering).
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