Filtration network models

Redman JA, Grant SB, Olson TM, Estes MK (2001) Pathogen filtration, heterogeneity, and the potable reuse of wastewater. Environ Sci Technol 35 1798-1805 Redman JA, Walker SL, Elimelech M (2004) Bacterial adhesion and transport in porous media Role of the secondary energy minimum. Environ Sci Technol 38 1777-1785 Reeves CP, CeUa MA (1996) A functional relationship between capillary pressure, saturation, and interfacial area as revealed by a pore-scale network model. Water Resour Res 32 2345-2358 Richards LA (1931) Capillary conduction of liquids through porous mediums. Physics 1 318-333... 

Wakeman R.J. and Wu P., 2003. Neural network modelling of vibration filtration. Filtration,... 

Sharma MM, Yortsos YC. A network model for deep bed filtration processes. AIChE J 1987 33(10) 1644-53. 

In the previous classical modelling, the elements mentioned above were supposed to be independent. At present, it is obvious that this assumption leads to a distortion in description of various processes occurring in porous solids, such as desorption of sorbate, intrusion of mercury, filtration, molecular-sieve adsorption. Por this reason, modelling of the primary elements may be considered as the first step, which is necessary though insufficient. The second step must be the modelling of interconnection between the elements. At present, it is conducted by the network models, and processes in them — by percolation theory (refs.4-7) ... 

EXP AC analyzes an interconnected network of building rooms and ventilation systems. A lumped-parameter formulation is used that includes the effects of inertial and choking flow in rapid gas transienl.s. The latest version is specifically suited to calculation of the detailed effects of explosions in the far field using a parametric representation of the explosive event. A material transport capability models the effects of convection, depletion, entrainment, and filtration of... 

Solutions to models with different length scales may contain regions such as shocks, steep fronts and other near discontinuities. Adaptive meshing strategies, in which a spatial mesh network is adjusted dynamically so as to capture the local behavior accurately, will be described. The algorithm will be tested on an example of filtration combustion. 

In none of these samples was it possible to find structures that were comparable with the structures previously published by other authors [35]. In their investigations, carbon black was liberated from the matrix by solution and subsequent filtration. In contrast, we find different structures that support the assumption of a concentration of the carbon black in layers. The structures found after pyrolysis by studies with the scanning electron microscope may be flat (Fig. 19.33), wavelike, tubular, or foamlike (Fig. 19.34). These observations can be interpreted with the aid of the model of an interpenetrating network of layers with different structures, as has already been proposed in Ref. 36. 

Fig. IX-5. Schematic models of DNA-clupeine complexes based on the thermal denatura-tion, optical rotatory dispersion, gel-filtration, and electron microscope studies. Primary complex clupeine molecules wind around the small grooves on the DNA double helix. Secondary complex the primary complexes are joined together in places by protamine bridges. Network a network of nucleoprotamine complexes as can be seen in the electron micrograph (cf. Fig. IX-4) (from Inoue and Ando, 1969)...

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