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Journal articles on the topic "Modelling of filtration processes"

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Jaeger, Peter. "Modelling Real World Using Stochastic Processes and Filtration." Formalized Mathematics 24, no. 1 (March 1, 2016): 1–16. http://dx.doi.org/10.1515/forma-2016-0001.

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Summary First we give an implementation in Mizar [2] basic important definitions of stochastic finance, i.e. filtration ([9], pp. 183 and 185), adapted stochastic process ([9], p. 185) and predictable stochastic process ([6], p. 224). Second we give some concrete formalization and verification to real world examples. In article [8] we started to define random variables for a similar presentation to the book [6]. Here we continue this study. Next we define the stochastic process. For further definitions based on stochastic process we implement the definition of filtration. To get a better understanding we give a real world example and connect the statements to the theorems. Other similar examples are given in [10], pp. 143-159 and in [12], pp. 110-124. First we introduce sets which give informations referring to today (Ωnow, Def.6), tomorrow (Ωfut1 , Def.7) and the day after tomorrow (Ωfut2 , Def.8). We give an overview for some events in the σ-algebras Ωnow, Ωfut1 and Ωfut2, see theorems (22) and (23). The given events are necessary for creating our next functions. The implementations take the form of: Ωnow ⊂ Ωfut1 ⊂ Ωfut2 see theorem (24). This tells us growing informations from now to the future 1=now, 2=tomorrow, 3=the day after tomorrow. We install functions f : {1, 2, 3, 4} → ℝ as following: f1 : x → 100, ∀x ∈ dom f, see theorem (36), f2 : x → 80, for x = 1 or x = 2 and f2 : x → 120, for x = 3 or x = 4, see theorem (37), f3 : x → 60, for x = 1, f3 : x → 80, for x = 2 and f3 : x → 100, for x = 3, f3 : x → 120, for x = 4 see theorem (38). These functions are real random variable: f1 over Ωnow, f2 over Ωfut1, f3 over Ωfut2, see theorems (46), (43) and (40). We can prove that these functions can be used for giving an example for an adapted stochastic process. See theorem (49). We want to give an interpretation to these functions: suppose you have an equity A which has now (= w1) the value 100. Tomorrow A changes depending which scenario occurs − e.g. another marketing strategy. In scenario 1 (= w11) it has the value 80, in scenario 2 (= w12) it has the value 120. The day after tomorrow A changes again. In scenario 1 (= w111) it has the value 60, in scenario 2 (= w112) the value 80, in scenario 3 (= w121) the value 100 and in scenario 4 (= w122) it has the value 120. For a visualization refer to the tree: The sets w1,w11,w12,w111,w112,w121,w122 which are subsets of {1, 2, 3, 4}, see (22), tell us which market scenario occurs. The functions tell us the values to the relevant market scenario: For a better understanding of the definition of the random variable and the relation to the functions refer to [7], p. 20. For the proof of certain sets as σ-fields refer to [7], pp. 10-11 and [9], pp. 1-2. This article is the next step to the arbitrage opportunity. If you use for example a simple probability measure, refer, for example to literature [3], pp. 28-34, [6], p. 6 and p. 232 you can calculate whether an arbitrage exists or not. Note, that the example given in literature [3] needs 8 instead of 4 informations as in our model. If we want to code the first 3 given time points into our model we would have the following graph, see theorems (47), (44) and (41): The function for the “Call-Option” is given in literature [3], p. 28. The function is realized in Def.5. As a background, more examples for using the definition of filtration are given in [9], pp. 185-188.
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Destephen, Jorge A., and Kyung-Ju Choi. "Modelling of filtration processes of fibrous filter media." Separations Technology 6, no. 1 (February 1996): 55–67. http://dx.doi.org/10.1016/0956-9618(96)00140-3.

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Wawszczak, Włodzimierz, and Wiktor Strzembosz. "Experimental and Theoretical Diffusion Modelling of Gas Filtration Processes." Research Journal of Textile and Apparel 8, no. 1 (February 2004): 38–42. http://dx.doi.org/10.1108/rjta-08-01-2004-b006.

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Koltunov, Leonid Ivanovich, and Alexander Stepanovich Kizhuk. "Mathematical modelling of electrode systems of electrostatic filtration processes." MATEC Web of Conferences 129 (2017): 03014. http://dx.doi.org/10.1051/matecconf/201712903014.

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Szwast, Maciej, Zbigniew Szwast, Marian Grądkowski, and Wojciech Piątkiewicz. "Modelling of Postproduction Suspensions’ Concentration Processes by “Batch” Membrane Microfiltration." Chemical and Process Engineering 34, no. 3 (September 1, 2013): 313–25. http://dx.doi.org/10.2478/cpe-2013-0025.

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Abstract The mathematical model of postproduction suspension concentration by microfiltration has been developed. This model describes a process conducted in a batch system with membrane washing by reverse flow of permeate. The model considerations concern filtration pseudocycles consisting of the filtration period and the membrane washing period. The balances of continuous phase volume, dispersed phase mass and energy, for each period of pseudocycle respectively, have been presented.
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VDOVIN, Yu I., and D. A. STRELKOV. "OSOBENNOSTI MODELIROVANIYa FIL'TRATsIIV KRUPNOPORISTYKh MATERIALAKh KONSTRUKTsIY VODOZABORNO-OChISTNYKh SOORUZhENIY." Urban construction and architecture 1, no. 1 (February 15, 2011): 54–56. http://dx.doi.org/10.17673/vestnik.2011.01.11.

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Scientific and engineering aspects of modelling the filtration in coarse-pored materials of water intake-treatment plants structures are considered. There have been formulated basic matters for modelling the filtration for solving the problems of improving the technology of water withdrawal from water sources and the construction of water intake-treatment plants. Criteria of modelling filtration processes and washing water inlets filters are observed.
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Wetterling, Jonas, Tuve Mattsson, and Hans Theliander. "Modelling filtration processes from local filtration properties: The effect of surface properties on microcrystalline cellulose." Chemical Engineering Science 165 (June 2017): 14–24. http://dx.doi.org/10.1016/j.ces.2017.02.017.

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Bomba, Andrii, Mykola Tkachuk, Volodymyr Havryliuk, Ruslan Kyrysha, Ievgenii Gerasimov, and Oleg Pinchuk. "Mathematical modelling of filtration processes in drainage systems using conformal mapping." Journal of Water and Land Development 39, no. 1 (December 1, 2018): 11–15. http://dx.doi.org/10.2478/jwld-2018-0054.

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AbstractThe situation when groundwater considerably rises above the “normal” level, water intake, lowering of groundwater levels and other relevant practical tasks require the drainage facilities. The most effective techniques of numerical studies of the corresponding boundary problems at present time are methods of dealing with inverse boundary value problems (conformal and quasi-conformal mappings). As basis of this research we used the case of combining the fictitious domain methods with quasi-conformal mappings of the solution of nonlinear boundary value problems for the calculation of filtration regimes in environments with free boundary areas (depression curves) and zones of “mountainous” areas.This paper reviews the stationary issue of flat-vertical stationary non-pressure liquid filtration to horizontal symmetric drainage. In the paper a practical methodology for solving boundary value problems on conformal mappings is suggested for the calculation of the filtration process in the horizontal symmetrical drainage.The idea of block iterative methods was used during the creation of the corresponding algorithm which is based on the alternating “freeze” of the anticipated conformance parameter, the internal and boundary connections of the curvilinear area.The results of the conducted numerical calculations confirmed the effectiveness of the suggested problem formulations and algorithms of their numerical solution and the possibility of their use in the modelling of nonlinear filtration processes occurring in horizontal drainage systems, as well as in the design of drainage facilities and optimizing other hydrosystems. Therefore these results are of great importance.
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GASBARRA, DARIO, JOSÉ IGOR MORLANES, and ESKO VALKEILA. "INITIAL ENLARGEMENT IN A MARKOV CHAIN MARKET MODEL." Stochastics and Dynamics 11, no. 02n03 (September 2011): 389–413. http://dx.doi.org/10.1142/s021949371100336x.

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Enlargement of filtrations is a classical topic in the general theory of stochastic processes. This theory has been applied to stochastic finance in order to analyze models with insider information. In this paper we study initial enlargement in a Markov chain market model, introduced by Norberg. In the enlarged filtration, several things can happen: some of the jumps times can be accessible or predictable, but in the original filtration all the jumps times are totally inaccessible. But even if the jumps times change to accessible or predictable, the insider does not necessarily have arbitrage possibilities.
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Schaller, Jana, Anja Drews, and Matthias Kraume. "Analyses and modelling of filtration processes in MBR and test cells." Desalination 199, no. 1-3 (November 2006): 507–8. http://dx.doi.org/10.1016/j.desal.2006.03.191.

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Dissertations / Theses on the topic "Modelling of filtration processes"

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Jones, Franck Anderson. "Modelling of novel rotating membrane bioreactor processes." Thesis, Brunel University, 2017. http://bura.brunel.ac.uk/handle/2438/16345.

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Previous membrane researches undertaken over the years to develop general deadend filtration models made use of an approach that combined all three classical fouling mechanisms, namely, pore blocking, pore constriction and cake filtration. More recently researchers have modified and adapted this modelling approach for a cross flow side-stream membrane bioreactor (MBR) system. Literature also reveals that there have been numerous recent experimental studies conducted on rotating membrane bioreactor (RMBR) systems. Some of these studies have resulted in the creation of RMBR models of the membrane fouling process as well. However, simulation and modelling of the fouling in RMBRs is still a nascent topic to date due to poor understanding and great complexity of the system hydrodynamics involved. Even when models are developed, they are either too complex to be useful at operational level, or not comprehensive enough to express all possible operational scenarios. In many cases they are simply too difficult to calibrate and thus ending up being more suited as research tools rather than for direct process control. As such, further research is required in this area. The research reported in this thesis consists of the development and validation of a RMBR system fouling model that incorporates all three classical fouling mechanisms. This thesis work is divided into two main sections. On top of a literature review that thoroughly describes the background theory and general information on MBRs along with their state of the art, the first section of the thesis also explains the specific methodologies used to accomplish all the main tasks carried out in this research work. The first step of these methodologies involves the setting-up of a rotating MBR system process based upon the FUV-185-A15R Flexidisks membrane module that was developed by Avanti Membrane Technology (USA). This system was used to collect the majority of the data used in this thesis. Since some of these data outputs were compared against non-rotating MBR systems, a similar setting-up process for a bespoke static square MBR system was carried out as well. Using synthetic wastewater in conjunction with activated sludge, mixed liquor suspended solids in both MBR system bioreactors were increased in levels over time to desired levels (i.e. by periodic excess sludge wasting). Trans-membrane pressure (TMP)-stepping fouling data was then acquired from operations of these membrane ultrafiltration processes. This data was obtained by measuring the flux decline or TMP increase. Following data collection, a dynamic fouling model for this RMBR system was then created in Matlab (using the Genetic Algorithm function). To do this, hydrodynamic regimes such as air scouring and rotating shear effects along with all the three classical fouling mechanisms were included in the mathematical fouling model that was created from first principles. For the purpose of comparison, a similar fouling model was created without incorporating the rotational effects for the static square MBR system. This included modelling of the hydrodynamics as well. Finally, both these models were validated and calibrated using the data that were collected from both laboratory-based MBR systems. The second phase of the thesis explores the numerous outputted results produced via model simulations which were then discussed and analysed in great detail. Results from this research indicate that the mathematical models give a decent portrayal and description of the fouling mechanisms occurring within a rotating MBR system. It was found that the rotational mechanisms in terms of fouling prevention accounted for only twelve percent of cake removal with the rest being accomplished through the air scouring mechanism. However, it was found that although the slowly rotating spindle induced a weak crossflow shear, it was still able to even out cake build up across the membrane surface, thus reducing the likelihood of localised critical flux being exceeded, which would lead to dramatic loss of flux. Furthermore, when compared against the static MBR system, the study concluded that a rotating MBR system could increase the flux throughput by a significant amount. In conclusion, RMBR systems appear to represent alternative viable solutions when compared against the traditional static MBR systems that currently dominate the industrial and municipal marketplace. In future, RMBR systems may become the systems of first choice once there is a better understanding of the rotational processes, and once research and design into this sector broadens. Future study areas should thus focus on: whether the forces acting on an activated sludge particle during rotation have a significant effect on the fouling or the shear hydrodynamic regimes; whether activated sludge and benchmark models could be created for rotating MBRs whilst including the shear effects and hydrodynamic regimes; whether model predictive control using these developed RMBR models would enhance efficiency gains within an operational plant; and, whether the real measured soluble microbial products (SMP) concentrations could be used to create an even better SMP predictive model that accurately explains fouling behaviour.
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Campos, Luiza Cintra. "Modelling and simulation of the biological and physical processes of slow sand filtration." Thesis, University College London (University of London), 2002. http://discovery.ucl.ac.uk/43778/.

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Slow sand filtration (SSF) is the earliest form of engineered potable water treatment and remains one of the most efficient processes for improving the physical, biological and chemical quality of water. However, whilst widely used throughout the world, knowledge of the filtration mechanisms remains limited. This is important in understanding and managing the processes that are responsible for gradually blocking the filter reducing its operational life and filtration efficiency. The objective of this thesis was to develop a mechanistic simulation model of the fundamental physico-chemical and biological processes responsible for the filtration mechanisms operating in slow sand filters. The model solves a set of equations describing schmutzdecke development above the sand and microbial biomass growth within the sand. The model assumes that the schmutzdecke layer contributes to the water purification process and its growth is described as linear function in relation to time. The dynamic interactions between the principal groups of microorganisms including: algae, bacteria and protozoa, were modelled using Monod-type kinetic equations. The filtration performance of the filter media was defined in the model by the removal of particulate material from water and was represented by a combination of headloss and filtration coefficient functions. The model was calibrated and verified using data from full and pilot plant-scale SSF operated by Thames Water Utilities Ltd. Simulation results showed that interstitial biomass was the smallest part of the bulk specific deposit in both covered and uncovered filters. However, microbial dynamics played an important role in the filtration performance. Schmutzdecke development had a major influence on the operation of uncovered filters and was responsible for the significant increase of headloss observed during operation. The model provides a representation of the fundamental nature of SSF processes and could form the basis of an operational management system to optimise SSF.
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Wiese, Bernd Ulrich. "Spatially and temporally scaled inverse hydraulic modelling, multi tracer transport modelling and interaction with geochemical processes at a highly transient bank filtration site." [S.l.] : [s.n.], 2006. http://deposit.ddb.de/cgi-bin/dokserv?idn=983980969.

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Wiese, Bernd Ulrich. "Spatially and temporally scaled inverse hydraulic modelling, multi tracer transport modelling and interaction with geochemical processes at a highly transient bank filtration site." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, 2007. http://dx.doi.org/10.18452/15607.

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Seit mehr als 100 Jahren wird Oberflächenwasser mit verschiedenen Verfahren versickert, wobei sich dessen Qualität stark verbessert. Sie finden zunehmend weltweit Anwendung, um eine zuverlässige Versorgung mit sauberem Trinkwasser zu gewährleisten. Solche Verfahren erfordern nur einen geringen technischen Aufwand. Während bei der Versicherung mit Schluckbrunnen und bei künstlichen Infiltrationsbecken das Wasser noch gepumpt und oft auch vorgereinigt werden muss, reduziert die Nutzung eines natürlichen Gewässers den Aufwand nochmals. Am Beispiel eines Untersuchungsgebiets am Tegeler See in Berlin werden die hydraulischen Prozesse modelliert. Die regionale, instationäre und 3-dimensionale Modellierung eines langen Zeitraums zeigt, dass die bisher verwendeten linearen Ansätze zur Beschreibung der Durchlässigkeit der Kolmationsschicht sowohl die infiltrierten Wassermengen als auch die Infiltrationsprozesse nur unzureichend wiedergeben. Grundwasserpiegelschwankungen werden stärker als bisher angenommen gedämpft. Als Folge dieser Wasserspiegelschwankungen wird die Bodenluft in der ungesättigten Bodenzone ausgetauscht und Sauerstoff eingetragen. Auf diese Weise erhöht sich die Durchlässigkeit der Kolmationsschicht um mindestens eine Größenordnung. Auf Grundlage dieser Ergebnisse wurden eine instationäre Wasserbilanz aufgestellt und die Uferfiltratanteile bestimmt. Die genaue lokale Lage eines Grundwasserstauers wird mit Hilfe eines neu entwickelten inversen Modellkonzeptes bestimmt. Er wird mit räumlich verteilten Pilot Points und Überparameterisierung unter Nebenbedingungen kalibriert. Die Zielgröße sind Piezometerhöhenschwankungen. Kreuzvalidierung bestätigt, dass die Lage des Grundwasserstauers präzise bestimmt wird. Diese hat einen entscheidenden Einfluss auf das räumliche Strömungsfeld und liefert neue Anhaltspunkte zur Genese des Tegeler Sees. Ein Transportmodell liefert lediglich mit den hydraulisch kalibrierten Parametern eine genaue Anpassung der Durchbruchskurven von Chlorid, 18O und Temperatur. Dies kann als Vorhersage angesehen werden und zeigt die Güte des Modells. Es konnte gezeigt werden, dass der Sauerstoffeintrag die Redoxprozesse in der Infiltrationszone dominiert. In Kombination mit der Lage des Grundwasserstauers können so auch zuvor widersprüchliche und lokale geochemische Verhältnisse schlüssig interpretiert werden. Es wird eine Theorie entwickelt, die erklärt, wie die vertikale Schichtung von oxidiertem und reduziertem Wasser zu starker Verockerung der Brunnen führt.
Several kinds of managed aquifer recharge techniques provide very good purification of surface water since more than 100 years. In order to maintain a reliable supply of clean water, they are becoming increasingly popular all over the world. These methods require low technical effort. At Aquifer Storage and Recovery and ponded infiltration the recharged amounts are technically controlled. The infiltration water has to be pumped and often pretreated. At bank filtration this is dispensable, the approach, of using existing surface water bodies is even more consequent. Exemplarily, at a test site at Lake Tegel, Berlin, Germany, the hydraulic processes are modelled. By means of 3D long term regional and transient hydraulic modelling it was detected that the existing approaches for determining the leakance induce large errors in the water balance and describe the infiltration zone insufficiently. The leakance could be identified to be triggered by the groundwater table, causing air exchange and intrusion of atmospheric oxygen, which reduces clogging by altered redox conditions by at least one order of magnitude. This causes that changes of the groundwater table are mitigated much more than previously assumed. Taking these findings into account, a transient water balance is determined and bank filtration ratios are quantified. A new inverse modelling concept has been developed and applied to a 3D short term local and transient hydraulic model. It comprises spatially distributed pilot points and overparameterisation constrained by regularisation and calibration to head differences. Significance of the results is demonstrated by cross validation. With this approach the spatial distribution of an aquitard have been identified with high precision. The highly transient and heterogeneous flow conditions are specified and a new viewpoint on the geologic formation of Lake Tegel is obtained. The good fit of modelled and observed breakthrough curves of 18O, chloride and temperature by just using transferred parameters obtained with the previous hydraulic methods, show the very good model performance and predictive capabilities. The intrusion of atmospheric oxygen into the unsaturated zone is identified to be the principal redox determining factor during infiltration. Previously inconsistent and also local geochemical conditions are identified to be determined by interaction of infiltration processes with the spatial extent of the aquitard. A theory for chemical clogging of abstraction wells is developed, identifying the strong vertical redox zoning as principal factor of influence.
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Sprenger, Christoph [Verfasser]. "Surface-groundwater interactions associated with river bank filtration in Delhi (India) : investigation and modelling of hydraulic and hydrochemical processes / Christoph Sprenger." Berlin : Freie Universität Berlin, 2011. http://d-nb.info/1026069564/34.

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Valentine, Mark Edward. "Fundamental flux enhancement modelling of membrane microfiltration." Thesis, University of Oxford, 2011. http://ora.ox.ac.uk/objects/uuid:f1b0388e-25b9-4038-be04-360b1414d172.

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Membrane filtration is used in a variety of industries, including water treatment and the food industry. Membrane systems include microfiltration and reverse osmosis processes. Membranes used in reverse osmosis are nonporous or pores at 0.2-2 A. This work will focus on mechanical microfiltration. These filtration systems suffer from an accumulation of the rejected material near the membrane surface. This causes additional resistance to the flow through the membrane (flux), resulting in a decline in the performance of the system. Sparging gas bubbles into the mixture has been shown to improve performance. The flow field promotes the transport of material away from the membrane surface and into the bulk. The goal is to predict the sparging that will achieve the maximum flux. Existing flux prediction models often assume steady shear at the membrane surface but in bubbling regimes the shear stresses are unsteady. In this thesis a model is developed to calculate the flux based not solely on shear but on the behaviour and resistance of suspended particles in a gas-liquid flow field. The bubble shape and flow field is calculated using computation fluid dynamics (CFD). The flow around a bubble in gap between two parallel flat sheet membranes is investigated. The calculated bubble shape correlates well with the results seen in experiments. The bubble rise velocity with respect to gap width is shown to transition between that expected in the literature for extended flow for large gap widths and that for a two dimensional case for smaller gap widths. The transitional region however, does not behave as may be expected. The rise velocity does not monotonically decrease as the gap width is reduced. The particle concentration is found by the solution of the convection-diffusion equation, where the convection velocity terms are given by the results of the CFD calculation. The permeate flux is then calculated using a resistance model giving the enhancement due to the bubble. The model is also applied to single phase crossflow. As the shear stresses are steady in this single-phase flow regime, established membrane shear linked mass-transfer coefficient methods can be employed. Good agreement is found between the model and theory. The flux results obtained when the model is applied to the flow around the bubble show a peak in performance with respect to the gap between the membranes for a given bubble volume. The optimal flux enhancement is found to correlate well with the bubble size compared to the flow area. The results show a bubble width of around 60% of the flow width provides the best flux performance.
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Prézélus, Flavie. "Ecodesign of ultrafiltration membranes for drinking water production : an experimental and modelling approach." Thesis, Toulouse, INPT, 2019. http://www.theses.fr/2019INPT0088.

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Les procédés de traitement par ultrafiltration sont certes largement utilisés pour la production d’eau potable mais leurs performances environnementales restent néanmoins mal connues. Cetravail vise à une meilleure compréhension de l’empreinte environnementale des membranes, ainsi qu’à la proposition et mise en oeuvre de solutions innovantes et pertinentes afin de l’atténuer. Une approche multi-étapes d'écoconception est appliquée aux fibres creuses fabriquées par inversion de phase et utilisées en filtration frontale. Deux modèles paramétrés ontété développés pour évaluer les impacts environnementaux lors des étapes de fabrication et d'utilisation en fonction des conditions opératoires. L’analyse de cycle de vie a mis en évidenceque les conditions opératoires liées au glycérol étaient des leviers d’action intéressants pour l’étape de fabrication. La quasi-exclusivité des impacts environnementaux est toutefois liée à l’étape d’utilisation, pour laquelle la production d’électricité et la fabrication d’hypochlorite de sodium sont les deux principaux contributeurs. L'analyse montre également l'influence du flux de filtration. Des opportunités existent concernant l’utilisation de solvants biosourcés, d’où la stratégie d’amélioration qui consiste à remplacer les solvants d’origine pétrochimique lors de la fabrication membranaire. Un cadre méthodologique basé sur des indicateurs a été proposé afin de rationaliser la fabrication de membrane durable. Des membranes planes biosourcées ont ainsi été obtenues en utilisant le lactate de méthyle comme solvant. Les résultats environnementaux mitigés n'excluent pas pour autant le remplacement de solvant en tant que stratégied'amélioration. Les résultats soulignent la faisabilité et la pertinence de cette approche d'écoconception basée sur la modélisation de procédé et le travail expérimental, et posent lesbases des améliorations futures
Although ultrafiltration treatment processes are widely used for drinking water applications, their environmental performances remain poorly understood. The objectives of this work are to provide understanding of membrane environmental footprint, as well as to suggest and implement relevant innovative solutions for its mitigation. A multiphase ecodesign approach is applied to hollow fibres fabricated by phase inversion and operated in a dead-end mode. The two developed parameterized models evaluate environmental impacts during fabrication and operation as a function of operating conditions. The subsequent Life Cycle Assessment highlights glycerol-related operating conditions as interesting action levers for environmental mitigation of membrane fabrication. However, membrane operation accounts for nearly exclusively all environmental impacts, with electricity production and sodium hypochlorite fabrication as the two main contributors. The analysis also pinpoints the influence of filtration flux. Since opportunities for biosourced solvents exist, substitution of petrochemical solvents during membrane fabrication is chosen as an improvement strategy. A metrics-based methodological framework is suggested to rationalize sustainable membrane fabrication. Biosourced flat membranes using methyl lactate as a solvent have thus been prepared. The mixed environmental scores do not preclude solvent substitution as a relevant improvement strategy. Results highlight the feasibility and relevance of such an ecodesign approach based on process modelling and experimental work, and lay the foundations for further development
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Pumprlová, Němcová Miroslava. "Modelování biochemických pochodů ve filtračním prostředí kořenových čistíren." Master's thesis, Vysoké učení technické v Brně. Fakulta stavební, 2015. http://www.nusl.cz/ntk/nusl-227702.

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This master's thesis deals with the modeling of biochemical processes in saturated vertical filter (which is often part of constructed treatment wetland) using software HYDRUS 2D and the module Constructed Wetland CW2D. The introductory part of this thesis is the literature research of expertise that are introduce with the theme constructed treatment wetlands and should also provide a basic overview of the mathematical or numerical modeling issue. The last chapter describes the theoretical introduction of software HYDRUS 2D and CW2D module, it is the practical part used to create a numerical l model. The practical part is based on theoretical knowledge and demonstrates the creating process of mathematical model in program HYDRUS 2D, simulating the real biochemical processes on the vertical saturated filter. The model is created in the program HYDRUS 2D CW2D and based on real operated constructed wetland. The thesis describes the calibration and followed verification of this model. The final model can well simulate the real filter behavior and allows user to get information about the output concentrations of waste water emission, such as ammonia nitrogen (N-NH4+) and chemical oxygen demand (COD). The results should in the future contribute to create software intended to draft and layout constructed wetlands.
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Krupp, Armin Ulrich. "Mathematical modelling of membrane filtration." Thesis, University of Oxford, 2017. http://ora.ox.ac.uk/objects/uuid:ae6dd9e4-a862-4476-a8d9-35156848297f.

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In this thesis, we consider four different problems in membrane filtration, using a different mathematical approach in each instance. We account for the fluid-driven deformation of a filtercake using nonlinear poroelasticity in Chapter 2. By considering feeds with very high and very low particle concentrations, we introduce a quasi-static caking model that provides a suitable approximation to the full model for the physically realistic concentration regimes. We illustrate the agreements and differences between our model and the existing conventional cake-filtration law. In Chapter 3, we introduce a stochastic model for membrane filtration based on the quantised nature of the particles and show how it can be applied for feeds with different particle types and membranes with an interconnected pore structure. This allows us to understand the relation between the effects of clogging on the level of an individual pore and on the macroscopic level of the entire membrane. We conclude by explaining the transition between the discrete and continuous model based on the Fokker--Planck equation. In Chapter 4, we consider the inverse problem of determining the underlying filtration law from the spreading speed of a particle-laden gravity current. We first couple the theory of gravity currents with the stochastic model developed in Chapter~3 to determine a filtration law from a given set of experiments. We then generalise this idea for the porous medium equation, where we show that the position of the front follows a power law for the conventional filtration laws, which allows us to infer the clogging law in certain instances. We conclude the thesis by showing in Chapter 5 how we can combine experimental measurements for the clogging of a depth filter and simple fluid dynamics to accurately predict the pressure distribution in a multi-capsule depth filter during a filtration run.
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Kakutkina, NA, and MM Mbarawa. "Transition Processes in Filtration Gas Combustion." Plenum Publishing Corporation, 2004. http://encore.tut.ac.za/iii/cpro/DigitalItemViewPage.external?sp=1001750.

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Methane
Summary The behavior of gas filtration combustion waves in the low-velocity regime has been studied experimentally with variation in the parameters of the gas flow and porous medium. It is shown that in transition processes there may be quenching or formation of a stable combustion-wave structure that does not correspond to the initial or final conditions. A nontrivial type of transition process accompanied by spatial transfer of the combustion zone is found.
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Books on the topic "Modelling of filtration processes"

1

Joseph, James J. Coolant filtration. East Syracuse, N.Y. (P.O. Box 232, East Syracuse 13057): Joseph Marketing, 1985.

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Tiefelsdorf, Michael, ed. Modelling Spatial Processes. Berlin/Heidelberg: Springer-Verlag, 2000. http://dx.doi.org/10.1007/bfb0048754.

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Dyke, P. P. G. Modelling marine processes. London: Prentice Hall, 1996.

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Wakeman, Richard J. Filtration: Equipment selection, modelling and process simulation. Oxford, UK: Elsevier Advanced Technology, 1999.

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Shen, Baotang, Ove Stephansson, and Mikael Rinne, eds. Modelling Rock Fracturing Processes. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-35525-8.

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Shen, Baotang, Ove Stephansson, and Mikael Rinne. Modelling Rock Fracturing Processes. Dordrecht: Springer Netherlands, 2014. http://dx.doi.org/10.1007/978-94-007-6904-5.

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Operational control of coagulation and filtration processes. 3rd ed. Denver: American Water Works Association, 2010.

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Berezin, I︠U︡ A. Modelling non-linear wave processes. Utrecht, The Netherlands: VNU Science Press, 1987.

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Peter, Tankov, ed. Financial modelling with jump processes. Boca Raton, Fla: Chapman & Hall/CRC, 2004.

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Weicheng, Fan. Computer modelling of combustion processes. Oxford, England: International Academic Publishers, 1991.

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Book chapters on the topic "Modelling of filtration processes"

1

Janoske, U., T. Deuschle, and M. Piesche. "Modelling of Filtration and Regeneration Processes in Diesel Particulate Traps." In Progress in Industrial Mathematics at ECMI 2004, 252–56. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/3-540-28073-1_38.

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Dodds, John, Gérard Baluais, and Dominique Leclerc. "Filtration Processes." In Disorder and Mixing, 163–84. Dordrecht: Springer Netherlands, 1988. http://dx.doi.org/10.1007/978-94-009-2825-1_15.

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Rieckmann, Thomas, and Susanne Völker. "Reactive Filtration." In Integrated Chemical Processes, 437–52. Weinheim, FRG: Wiley-VCH Verlag GmbH & Co. KGaA, 2005. http://dx.doi.org/10.1002/3527605738.ch15.

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Chen, J. Paul, Shoou-Yuh Chang, Jerry Y. C. Huang, E. Robert Bauman, and Yung-Tse Hung. "Gravity Filtration." In Physicochemical Treatment Processes, 501–43. Totowa, NJ: Humana Press, 2005. http://dx.doi.org/10.1385/1-59259-820-x:501.

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Chen, J. Paul, Honghui Mou, Lawrence K. Wang, and Takeshi Matsuura. "Membrane Filtration." In Advanced Physicochemical Treatment Processes, 203–59. Totowa, NJ: Humana Press, 2006. http://dx.doi.org/10.1007/978-1-59745-029-4_7.

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Apelian, Diran, and Kyung K. Choi. "Metal Refining by Filtration." In Foundry Processes, 467–93. Boston, MA: Springer US, 1988. http://dx.doi.org/10.1007/978-1-4613-1013-6_19.

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Rozanov, Yuriĭ A. "A Filtration Problem." In Introduction to Random Processes, 100–117. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-72717-7_15.

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Wieser, Peter F. "Filtration of Irons and Steels." In Foundry Processes, 495–512. Boston, MA: Springer US, 1988. http://dx.doi.org/10.1007/978-1-4613-1013-6_20.

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Layton, Anita T., and Aurélie Edwards. "Glomerular Filtration." In Lecture Notes on Mathematical Modelling in the Life Sciences, 7–41. Berlin, Heidelberg: Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-27367-4_2.

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Mackrle, Svatopluk, Vladimír Mackrle, and Oldřich Dračka. "Upflow Sludge Blanket Filtration." In Advanced Biological Treatment Processes, 365–410. Totowa, NJ: Humana Press, 2009. http://dx.doi.org/10.1007/978-1-60327-170-7_10.

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Conference papers on the topic "Modelling of filtration processes"

1

Ma, Xianghong, Mark Prince, Mike Ward, and Peter Docker. "Design and Modelling of a Micro Fluid Filter for Separating Spermatogenic Cells." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-85357.

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Abstract:
The small size of microfabricated structures are opening new avenues in the field of biomedical engineering where structures are being developed to process [1] and analyze [2,3] nanolitre quantities of biological fluids, and cellular tissues. This paper outlines the design and manufacture principals of a passive micro-mechatronic device for the filtration and sorting of spermatogenic cells. This device is to be applied in a urological clinical environment where it can be used to semi-automate the spermatozoa selection process from non-obstructive azoospermic testis biopsies. Detailed and discussed herein are the advantages and drawbacks of Micro-Electro-Mechanical Systems (MEMS) as applied to clinical biomedical situations, and requirements for the design methodology and process of a microfluidic system based on MEMS technology with a view to manufacture by Deep Reactive Ion Etching process. The modelling of the micro device using computational fluid dynamic simulation methods is also covered in this paper.
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Kosarevych, R. Ya, V. V. Korniy, O. A. Lutsyk, and B. P. Rusyn. "Image Noise filtration By Random Point Processes." In 2020 IEEE 15th International Conference on Advanced Trends in Radioelectronics, Telecommunications and Computer Engineering (TCSET). IEEE, 2020. http://dx.doi.org/10.1109/tcset49122.2020.235481.

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"Filtration efficiency of bubble scrubbers." In 21st International Congress on Modelling and Simulation (MODSIM2015). Modelling and Simulation Society of Australia and New Zealand, 2015. http://dx.doi.org/10.36334/modsim.2015.a1.braddock.

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Lubkov, M. V., and O. O. Zacharchuk. "Modeling of oil filtration processes near production well." In 18th International Conference on Geoinformatics - Theoretical and Applied Aspects. European Association of Geoscientists & Engineers, 2019. http://dx.doi.org/10.3997/2214-4609.201902015.

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Kirk, Diana C., Stephen G. MacDonell, and Ewan Tempero. "Modelling software processes." In Proceeding of the 24th ACM SIGPLAN conference companion. New York, New York, USA: ACM Press, 2009. http://dx.doi.org/10.1145/1639950.1640061.

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Goel, Vinay, Aiwen Wu, and Jennifer Braggin. "Expanding the lithographer's toolkit to reduce variability: filtration considerations." In Advances in Patterning Materials and Processes XXXVI, edited by Roel Gronheid and Daniel P. Sanders. SPIE, 2019. http://dx.doi.org/10.1117/12.2514965.

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D'Urzo, Lucia, Toru Umeda, Takehito Mizuno, Atsushi Hattori, Rao Varanasi, Amarnauth Singh, Rajan Beera, Philippe Foubert, Jelle Vandereyken, and Waut Drent. "Defectivity modulation in EUV resists through advanced filtration technologies." In Advances in Patterning Materials and Processes XXXVII, edited by Roel Gronheid and Daniel P. Sanders. SPIE, 2020. http://dx.doi.org/10.1117/12.2560144.

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B. Panfilov, M. "Irregular Averaging of Filtration Transfer Processes in Heterogeneous Media." In ECMOR II - 2nd European Conference on the Mathematics of Oil Recovery. European Association of Geoscientists & Engineers, 1990. http://dx.doi.org/10.3997/2214-4609.201411139.

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Oakes, Kristina. "Membrane Filtration Processes for Removing Arsenic from Drinking Water." In World Water and Environmental Resources Congress 2005. Reston, VA: American Society of Civil Engineers, 2005. http://dx.doi.org/10.1061/40792(173)7.

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Wu, Aiwen, Hareen Bayana, Philippe Foubert, Andrea M. Chacko, and Douglas Guererro. "Improving EUV underlayer coating defectivity using Point-Of-Use filtration." In Advances in Patterning Materials and Processes XXXVII, edited by Roel Gronheid and Daniel P. Sanders. SPIE, 2020. http://dx.doi.org/10.1117/12.2551647.

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Reports on the topic "Modelling of filtration processes"

1

Terasvirta, Timo, and Andrés González-Gómez. Modelling autoregressive processes with a shifting mean. Bogotá, Colombia: Banco de la República, December 2006. http://dx.doi.org/10.32468/be.420.

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Slavtchova-Bojkova, Marussia, and Kaloyan Vitanov. Modelling Cancer Evolution by Multi-type Agedependent Branching Processes. "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences, October 2018. http://dx.doi.org/10.7546/crabs.2018.10.01.

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Ng, B. Survey of Bayesian Models for Modelling of Stochastic Temporal Processes. Office of Scientific and Technical Information (OSTI), October 2006. http://dx.doi.org/10.2172/900168.

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Meulé, S., P. R. Hill, and C. Pinazo. Wave dynamics over Roberts Bank, British Columbia: processes and modelling. Natural Resources Canada/ESS/Scientific and Technical Publishing Services, 2007. http://dx.doi.org/10.4095/224297.

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Gabaix, Xavier. Linearity-Generating Processes: A Modelling Tool Yielding Closed Forms for Asset Prices. Cambridge, MA: National Bureau of Economic Research, September 2007. http://dx.doi.org/10.3386/w13430.

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Kyser, E. DECONTAMINATION OF PLUTONIUM FOR FLUORIDE AND CHLORIDE DURING OXALATE PRECIPITATION, FILTRATION AND CALCINATION PROCESSES. Office of Scientific and Technical Information (OSTI), July 2012. http://dx.doi.org/10.2172/1047456.

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Linkins, A. E. Modelling regulation of decomposition and related root/mycorrhizal processes in arctic tundra soils. Office of Scientific and Technical Information (OSTI), January 1992. http://dx.doi.org/10.2172/7263706.

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DUNCAN JB. EFFICACY OF FILTRATION PROCESSES TO OBTAIN WATER CLARITY AT K EAST SPENT NUCLEAR FUEL (SNF) BASIN. Office of Scientific and Technical Information (OSTI), September 2006. http://dx.doi.org/10.2172/940011.

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Linkins, A. E. Modelling regulation of decomposition and related root/mycorrhizal processes in arctic tundra soils. Final report. Office of Scientific and Technical Information (OSTI), September 1992. http://dx.doi.org/10.2172/10178205.

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Chen, Xiao, Jaisree Iyer, and Susan Carroll. Dynamic reduced order modelling (ROM) of chemical and mechanical processes in CO2-cement systems. Office of Scientific and Technical Information (OSTI), September 2018. http://dx.doi.org/10.2172/1476178.

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