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Deep bed filtration model for cake filtration and erosion

Applied Mathematics and Mechanics(English Edition) 2024年第2期45卷 355-372页

作者： L.I.KUZMINA Y.V.OSIPOV A.R.PESTEREV Department of Applied Mathematics HSE UniversityMoscow 101000Russia Department of Computer Science and Applied Mathematics Moscow State University of Civil EngineeringMoscow 129337Russia

Many phenomena in nature and technology are associated with the filtration of suspensions and colloids in porous media. Two main types of particle deposition,namely, cake filtration at the inlet and deep bed filtration throughout the entire porous medium, are studied by different models. A unified approach for the transport and deposition of particles based on the deep bed filtration model is proposed. A variable suspension flow rate, proportional to the number of free pores at the inlet of the porous medium, is considered. To model cake filtration, this flow rate is introduced into the mass balance equation of deep bed filtration. For the cake filtration without deposit erosion,the suspension flow rate decreases to zero, and the suspension does not penetrate deep into the porous medium. In the case of the cake filtration with erosion, the suspension flow rate is nonzero, and the deposit is distributed throughout the entire porous medium. An exact solution is obtained for a constant filtration function. The method of characteristics is used to construct the asymptotics of the concentration front of suspended and retained particles for a filtration function in a general form. Explicit formulae are obtained for a linear filtration function. The properties of these solutions are studied in detail.

关键词： deep bed filtration cake filtration porous medium particle deposition and erosion analytical solution concentration front

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Sedimentation acceleration of remanent iron oxide by magnetic flocculation

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China Particuology 2007年第1期5卷 145-150页

作者： Mathias Stolarski Christian Eichholz Benjamin Fuchs Hermann Nirschl Institute of Mechanical Process Engineering and Mechanics (MVM) University of Karlsruhe 76131 Karlsruhe Germany DuPont Experimental Station Building E304 Wilmington DE 19880 USA

Sedimentation based processes are widely used in industry to separate particles from a liquid phase. Since the advent of the ＂Nanoworld＂ the demand for effective separation technologies has rapidly risen, calling for the development of new separation concepts, one of which lies in hybrid separation using the superposition of a magnetic field for magnetic particles. Possible product portfolio of such separation consists of pigment production, nanomagnetics production for electronics and bio separation, A promising step in that direction is magnetic field enhanced cake filtration, which has by now progressed from batch to continuous ooeration. In sedimentation processes in a mass force field the settling behaviour of particles strongly depends on physico-chemical properties, concentration and size distribution of the particles. By adjusting the pH, the interparticle forces, in particular the electrostatic repulsion, can be manipulated. For remanent magnetic particles such as magnetite, pre-treatment in a magnetic field could lead to a change of interparticle interactions. By magnetizing the particles apart from van der Waals attraction and electrostatic repulsion, an additional potential is induced, the magnetic attraction, which could easily dominate the other potentials and result in agglomeration in the primary minimum. By sedimentation analysis, a wide spectrum of parameters like pH, magnetic field strength and concentration have been investigated. The results show a strong increase of sedimentation velocity by magnetic flocculation of the raw suspension. This leads to a rise in throughput due to the acceleration of sedimentation kinetics by imparting a non-chemical interaction to the physico-chemical properties in the feed stream of the separation apparatus.

关键词： Magnetic flocculation Field enhanced separation cake filtration Magnetic structuring Magnetic separation

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Research on Soot filtration and Pressure Drop Characteristics of DPF

Research on Soot Filtration and Pressure Drop Characteristic...

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2016中国汽车工程学会年会暨展览会

作者： Gao Ying Liu Hongqi Chen Wei Fu Tieqiang Fang Maodong Li Jun State Key Laboratory of Automotive Simulation and Control Jilin University China Automotive Technology&Research Center

ISBN: (纸本)9789811035272;9789811035265

An integrated DPF filtration model is proposed to study the properties of soot filtration and pressure drop,which includes deep bed filtration model,cake filtration model and pressure drop *** results show that the evolution of filtration can be divided into two stages named as deep bed filtration and cake filtration *** deep bed filtration,soot is trapped in the filter wall,which results a rapid pressure drop gradient of 7.6Pa/***,the soot quality only accounts for 1.6% of the total in whole filtration *** soot layer is developed during soot *** a linear increase of pressure drop with the gradient of 1.4Pa/s during the ***,the pressure drop caused by the soot layer and cake layer are 54% and 38% respectively in the whole simulation duration.

关键词： DPF deep bed filtration cake filtration pressure drop

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