966 resultados para volumetric mass transfer coefficient
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Tässä työssä on käytetty VTT:n ja Fortumin kehittämääAPROS simulaatio-ohjelmistoa vesi-ilma -täytteisen paineakun käyttäytymisen tutkimiseen. Tavoitteena oli tarkastella APROSin paineakkumallin käyttäytymistä alhaisessa lämpötilassa käyttäen 6-yhtälömallia sekä rakentaa vaihtoehtoiseksi laskentamenetelmäksi kaksi analyyttistä laskentamallia korvaamaan APROSin sisäinen laskenta. Kyseiset analyyttiset mallit ovat isentrooppinen ja isoterminen ja ne on rakennettu kokonaan käyttäen APROSin omia moduuleja. Työ sisältää APROSin version 5.06 sekä työn aikana kehitetyn kehitysversion vertailut eri alkulämpötiloista alkaneissa paisunnoissa, vertailun Pactelin purkaus¬kokeesta saadulla massavirralla sekä osion, jossa analyyttiset mallit on yhdistetty kokonaiseen Pactelin APROS-malliin. Myös purkauksen kulkeutumista primääripiirissä on tarkasteltu. Simulaatiot vahvistavat, että versiolla 5.06 on vaikeuksia paineen laskennassa, kun paisunnan alkulämpötila on alle 30 ºC. Kehitysversiossa painekäyttäytyminen on selvästi parantunut, mutta versio kärsii ongelmista, jotka liittyvät kaasun lämpötilan painumiseen APROSin sisäisten rajoitusten alapuolelleja tätä kautta ongelmiin materiaali¬ominaisuuksien ennustamisessa. Tämän johdosta APROSin kehitysversio päätyy erilaisiin tuloksiin myös tilanteissa, joissa alkuperäinen 5.06 ei kärsi alhaisen lämpötilan ongelmista. Analyyttisistä malleista isentrooppinen malli päätyy antamaan säännönmukaisesti muita malleja ja versioita alempia paineita. Isoterminen malli sen sijaan näyttää päätyvän version 5.06 kanssa melko samankaltaisiin tuloksiin. On kuitenkin muistettava, että kummatkin analyyttiset mallit olettavat kaasun olevan kuivaa ja jättävät massasiirron faasien välillä kokonaan huomiotta.
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In bubbly flow simulations, bubble size distribution is an important factor in determination of hydrodynamics. Beside hydrodynamics, it is crucial in the prediction of interfacial area available for mass transfer and in the prediction of reaction rate in gas-liquid reactors such as bubble columns. Solution of population balance equations is a method which can help to model the size distribution by considering continuous bubble coalescence and breakage. Therefore, in Computational Fluid Dynamic simulations it is necessary to couple CFD and Population Balance Model (CFD-PBM) to get reliable distribution. In the current work a CFD-PBM coupled model is implemented as FORTRAN subroutines in ANSYS CFX 10 and it has been tested for bubbly flow. This model uses the idea of Multi Phase Multi Size Group approach which was previously presented by Sha et al. (2006) [18]. The current CFD-PBM coupled method considers inhomogeneous flow field for different bubble size groups in the Eulerian multi-dispersed phase systems. Considering different velocity field for bubbles can give the advantageof more accurate solution of hydrodynamics. It is also an improved method for prediction of bubble size distribution in multiphase flow compared to available commercial packages.
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The gold mineralization of the Hutti Mine is hosted by nine parallel, N - S trending, steeply dipping, 2 - 10 m wide shear zones, that transect Archaean amphibolites. The shear zones were formed after peak metamorphism during retrograde ductile D, shearing in the lower amphibolite facies. They were reactivated in the lower to mid greenschist facies by brittle-ductile D-3 shearing and intense quartz veining. The development of a S-2-S-3 crenulation cleavage facilitates the discrimination between the two deformation events and contemporaneous alteration and gold mineralization. Ductile D, shearing is associated with a pervasively developed distal chlorite - sed cite alteration assemblage in the outer parts of the shear zones and the proximal biotite-plagioclase alteration in the center of the shear zones. D3 is characterized by development of the inner chlorite-K-feldspar alteration, which forms a centimeter-scale alteration halo surrounding the laminated quartz veins and replaces earlier biotite along S-3. The average size of the laminated vein systems is 30-50 m along strike as well as down-dip and 2-6 m in width. Mass balance calculations suggest strong metasomatic changes for the proximal biotite-plagioclase alteration yielding mass and volume increase of ca. 16% and 12%, respectively. The calculated mass and volume changes of the distal chlorite-sericite alteration (ca. 11%, ca. 8%) are lower. The decrease in 6180 values of the whole rock from around 7.5 parts per thousand for the host rocks to 6-7 parts per thousand for the distal chlorite-sericite and the proximal biotite-plagioclase alteration and around 5 parts per thousand for the inner chlorite-K-feldspar alteration suggests hydrothermal alteration during two-stage deformation and fluid flow. The ductile D-2 deformation in the lower amphibolite facies has provided grain scale porosities by microfracturing. The pervasive, steady-state fluid flow resulted in a disseminated style of gold-sulfide mineralization and a penetrative alteration of the host rocks. Alternating ductile and brittle D3 deformation during lower to mid greenschist facies conditions followed the fault-valve process. Ductile creep in the shear zones resulted in a low permeability environment leading to fluid pressure build-up. Strongly episodic fluid advection and mass transfer was controlled by repeated seismic fracturing during the formation of laminated quartz(-gold) veins. The limitation of quartz veins to the extent of earlier shear zones indicate the importance of preexisting anisotropies for fault-valve action and economic gold mineralization. (C) 2003 Elsevier B.V. All rights reserved.
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Convective transport, both pure and combined with diffusion and reaction, can be observed in a wide range of physical and industrial applications, such as heat and mass transfer, crystal growth or biomechanics. The numerical approximation of this class of problemscan present substantial difficulties clue to regions of high gradients (steep fronts) of the solution, where generation of spurious oscillations or smearing should be precluded. This work is devoted to the development of an efficient numerical technique to deal with pure linear convection and convection-dominated problems in the frame-work of convection-diffusion-reaction systems. The particle transport method, developed in this study, is based on using rneshless numerical particles which carry out the solution along the characteristics defining the convective transport. The resolution of steep fronts of the solution is controlled by a special spacial adaptivity procedure. The serni-Lagrangian particle transport method uses an Eulerian fixed grid to represent the solution. In the case of convection-diffusion-reaction problems, the method is combined with diffusion and reaction solvers within an operator splitting approach. To transfer the solution from the particle set onto the grid, a fast monotone projection technique is designed. Our numerical results confirm that the method has a spacial accuracy of the second order and can be faster than typical grid-based methods of the same order; for pure linear convection problems the method demonstrates optimal linear complexity. The method works on structured and unstructured meshes, demonstrating a high-resolution property in the regions of steep fronts of the solution. Moreover, the particle transport method can be successfully used for the numerical simulation of the real-life problems in, for example, chemical engineering.
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The present dissertation is devoted to the systematic approach to the development of organic toxic and refractory pollutants abatement by chemical decomposition methods in aqueous and gaseous phases. The systematic approach outlines the basic scenario of chemical decomposition process applications with a step-by-step approximation to the most effective result with a predictable outcome for the full-scale application, confirmed by successful experience. The strategy includes the following steps: chemistry studies, reaction kinetic studies in interaction with the mass transfer processes under conditions of different control parameters, contact equipment design and studies, mathematical description of the process for its modelling and simulation, processes integration into treatment technology and its optimisation, and the treatment plant design. The main idea of the systematic approach for oxidation process introduction consists of a search for the most effective combination between the chemical reaction and the treatment device, in which the reaction is supposed to take place. Under this strategy,a knowledge of the reaction pathways, its products, stoichiometry and kinetics is fundamental and, unfortunately, often unavailable from the preliminary knowledge. Therefore, research made in chemistry on novel treatment methods, comprisesnowadays a substantial part of the efforts. Chemical decomposition methods in the aqueous phase include oxidation by ozonation, ozone-associated methods (O3/H2O2, O3/UV, O3/TiO2), Fenton reagent (H2O2/Fe2+/3+) and photocatalytic oxidation (PCO). In the gaseous phase, PCO and catalytic hydrolysis over zero valent ironsare developed. The experimental studies within the described methodology involve aqueous phase oxidation of natural organic matter (NOM) of potable water, phenolic and aromatic amino compounds, ethylene glycol and its derivatives as de-icing agents, and oxygenated motor fuel additives ¿ methyl tert-butyl ether (MTBE) ¿ in leachates and polluted groundwater. Gas-phase chemical decomposition includes PCO of volatile organic compounds and dechlorination of chlorinated methane derivatives. The results of the research summarised here are presented in fifteenattachments (publications and papers submitted for publication and under preparation).
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Dynamic behavior of bothisothermal and non-isothermal single-column chromatographic reactors with an ion-exchange resin as the stationary phase was investigated. The reactor performance was interpreted by using results obtained when studying the effect of the resin properties on the equilibrium and kinetic phenomena occurring simultaneously in the reactor. Mathematical models were derived for each phenomenon and combined to simulate the chromatographic reactor. The phenomena studied includes phase equilibria in multicomponent liquid mixture¿ion-exchange resin systems, chemicalequilibrium in the presence of a resin catalyst, diffusion of liquids in gel-type and macroporous resins, and chemical reaction kinetics. Above all, attention was paid to the swelling behavior of the resins and how it affects the kinetic phenomena. Several poly(styrene-co-divinylbenzene) resins with different cross-link densities and internal porosities were used. Esterification of acetic acid with ethanol to produce ethyl acetate and water was used as a model reaction system. Choosing an ion-exchange resin with a low cross-link density is beneficial inthe case of the present reaction system: the amount of ethyl acetate as well the ethyl acetate to water mole ratio in the effluent stream increase with decreasing cross-link density. The enhanced performance of the reactor is mainly attributed to increasing reaction rate, which in turn originates from the phase equilibrium behavior of the system. Also mass transfer considerations favor the use ofresins with low cross-link density. The diffusion coefficients of liquids in the gel-type ion-exchange resins were found to fall rapidly when the extent of swelling became low. Glass transition of the polymer was not found to significantlyretard the diffusion in sulfonated PS¿DVB ion-exchange resins. It was also shown that non-isothermal operation of a chromatographic reactor could be used to significantly enhance the reactor performance. In the case of the exothermic modelreaction system and a near-adiabatic column, a positive thermal wave (higher temperature than in the initial state) was found to travel together with the reactive front. This further increased the conversion of the reactants. Diffusion-induced volume changes of the ion-exchange resins were studied in a flow-through cell. It was shown that describing the swelling and shrinking kinetics of the particles calls for a mass transfer model that explicitly includes the limited expansibility of the polymer network. A good description of the process was obtained by combining the generalized Maxwell-Stefan approach and an activity model that was derived from the thermodynamics of polymer solutions and gels. The swelling pressure in the resin phase was evaluated by using a non-Gaussian expression forthe polymer chain length distribution. Dimensional changes of the resin particles necessitate the use of non-standard mathematical tools for dynamic simulations. A transformed coordinate system, where the mass of the polymer was used as a spatial variable, was applied when simulating the chromatographic reactor columns as well as the swelling and shrinking kinetics of the resin particles. Shrinking of the particles in a column leads to formation of dead volume on top of the resin bed. In ordinary Eulerian coordinates, this results in a moving discontinuity that in turn causes numerical difficulties in the solution of the PDE system. The motion of the discontinuity was eliminated by spanning two calculation grids in the column that overlapped at the top of the resin bed. The reactive and non-reactive phase equilibrium data were correlated with a model derived from thethermodynamics of polymer solution and gels. The thermodynamic approach used inthis work is best suited at high degrees of swelling because the polymer matrixmay be in the glassy state when the extent of swelling is low.
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In this thesis, the magnetic field control of convection instabilities and heat and mass transfer processesin magnetic fluids have been investigated by numerical simulations and theoretical considerations. Simulation models based on finite element and finite volume methods have been developed. In addition to standard conservation equations, themagnetic field inside the simulation domain is calculated from Maxwell equations and the necessary terms to take into account for the magnetic body force and magnetic dissipation have been added to the equations governing the fluid motion.Numerical simulations of magnetic fluid convection near the threshold supportedexperimental observations qualitatively. Near the onset of convection the competitive action of thermal and concentration density gradients leads to mostly spatiotemporally chaotic convection with oscillatory and travelling wave regimes, previously observed in binary mixtures and nematic liquid crystals. In many applications of magnetic fluids, the heat and mass transfer processes including the effects of external magnetic fields are of great importance. In addition to magnetic fluids, the concepts and the simulation models used in this study may be applied also to the studies of convective instabilities in ordinary fluids as well as in other binary mixtures and complex fluids.
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Työn tavoitteena oli tutkia aaltomaisen profiloinnin vaikutusta suorien jäähdytyskanavien lämmönsiirtoon ja painehäviöön. Erilaisia profiileja oli kymmenen kappaletta ja ne olivat 5mm leveitä ja 30cm pitkiä kukin. Ne laskettiin kolmeulotteisina tapauksina FINFLO-virtausratkaisijalla kolmella eri Reynoldsin luvulla, jotka vastasivat laminaarista, osittain turbulenttista ja lähes kokonaan turbulenttista virtausta. Lämmönsiirtoaine oli kuiva +30°C ilma ja profiloinnin toteutustapa oli toisiaan sivuavat ympyräkaaret kolmella erilaisella säteen arvolla ja kolmella erilaisella aallonpituuden arvolla. Lisäksi laskettiin saman levyisen tasokanavan arvot jokaisella Reynoldsin luvulla kaksiulotteisina tapauksina. Näitä profiloimattomia kanavia pidettiin referenssitapauksina. Tuloksena havaittiin että profiloimalla saadaan yksiselitteisesti suurempi lämpöteho ulos samasta tilavuudesta. Lämmönsiirtokerroin kasvaa profiloinnin avulla parhaimmillaan n. 20% käytetystä turbulenssimallista tai lämmönsiirtokertoimen määritelmästä riippumatta. Painehäviö kasvaa myös aina, mutta kitkakerroin voi hieman pienentyä. Profiilin varsinaisena hyvyyskriteerinä pidettiin lämmönsiirtokertoimen ja kitkakertoimen suhdetta h/f. Se osoittautui riippuvaksi Reynoldsin luvusta ja turbulenssimallista; ASM ja Chien k-έ -mallit ennustavat transitioetäisyyden eri tavalla. Laminaarisilla virtauksilla h/f :n vaihtelu oli vähäistä; suhde vaihteli vain ±5% eri profiilien kesken. ASM-mallilla havaittiin sekundääripyörteilyä, ehkä siksi että se mallintaa anisotrooppisen turbulenssin. Chien k-έ malli ennusti suuremman ja aikaisemmin alkavan turbulenttisuuden kuin ASM. Lisäksi havaittiin mm. että tietyillä profiileilla muodostuu kanavan kapeimpaan kohtaan selvä virtausnopeuden paikallinen minimi seinämän läheisyyden takia.
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Fluid mixing in mechanically agitated tanks is one of the major unit operations in many industries. Bubbly flows have been of interest among researchers in physics, medicine, chemistry and technology over the centuries. The aim of this thesis is to use advanced numerical methods for simulating microbubble in an aerated mixing tank. Main components of the mixing tank are a cylindrical vessel, a rotating Rushton turbine and the air nozzle. The objective of Computational Fluid Dynamics (CFD) is to predict fluid flow, heat transfer, mass transfer and chemical reactions. The CFD simulations of a turbulent bubbly flow are carried out in a cylindrical mixing tank using large eddy simulation (LES) and volume of fluid (VOF) method. The Rushton turbine induced flow is modeled by using a sliding mesh method. Numerical results are used to describe the bubbly flows in highly complex liquid flow. Some of the experimental works related to turbulent bubbly flow in a mixing tank are briefly reported. Numerical simulations are needed to complete and interpret the results of the experimental work. Information given by numerical simulations has a major role in designing and scaling-up mixing tanks. The results of this work have been reported in the following scientific articles: ·Honkanen M., Koohestany A., Hatunen T., Saarenrinne P., Zamankhan P., Large eddy simulations and PIV experiments of a two-phase air-water mixer, in Proceedings of ASME Fluids Engineering Summer Conference (2005). ·Honkanen M., Koohestany A., Hatunen T., Saarenrinne P., Zamankhan P., Dynamical States of Bubbling in an Aerated Stirring Tank, submitted to J. Computational Physics.
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Kuplakolonnireaktoreiden CFD-mallinnus on talla hetkella voimakkaasti kehittyva tutkimusalue. Kaksifaasivirtauksen luotettava simulointi ja mallintaminen on haastavaa kuplakolonnireaktorissa tapahtuvien ilmioiden monimutkaisuuden vuoksi. Reaktorin kayttaytymiseen vaikuttavat tekijat, kuten kolonnin hydrodynamiikka ja aineensiirto, tulee tuntea hyvin ennen mallien tekoa. Tassa tyossa on kokeellisesti tutkittu erilaisten mittausmenetelmien soveltuvuutta kuplakolonnin hydrodynamiikan tutkimiseen. Mittausmenetelmissa on keskitytty erityisesti CFD-mallien vaatimiin paikallisiin mittauksiin. Lisaksi tyossa on arvioitu mittausmenetelmien soveltuvuutta j a luotettavuutta CFD-mallien validointiin. Tyon kirjallisuusosassa on perehdytty kuplakolonnireaktorin hydrodynaamiseen kayttaytymiseen ja siihen vaikuttaviin tekijoihin. Naita ovat mm. reaktorityypit, kaasun dispergointi, virtaustyypit ja -alueet, kaasun tilavuusosuus, kaasukuplan koko ja kuplan nousunopeus. Mittauksia tehtiin kahdessa erikokoisessa kuplakolonnissa, joista pienemman halkaisija oli 0,078 m ja suuremman 0,182 m. Molempien kolonnien nestepinnan korkeus oli 4,62 m. Mittaukset tehtiin vesijohtovedella ja epaorgaanisella prosessiliuoksella. Hydrodynaamisista ominaisuuksista mitattiin kaasun tilavuusosuus, kaasukuplan koko seka kaasukuplan nousunopeus. Kaasun tilavuusosuusmittaukset tehtiin paaasiassa paine-eromittauksella ja joissakin tapauksissa pinnanmittausmenetelmalla. Kuplakoko- ja kuplan nousunopeusmittaukset tehtiin suumopeusvideokameralla ja laser Doppler-anemometrilla. Mittauksissa kaytettiin kahdeksaa erilaista kaasunjakolaitetta, joilla selvitettiin kaasunjakolaitteen ominaisuuksien vaikutusta kolonnin hydrodynamiikkaan. Tuloksista havaittiin, etta nestefaasin ominaisuuksilla oli suuri vaikutus kolonnin hydrodynaamiseen kayttaytymiseen. En kaasunjakolaitteilla vesijohtovedella mitatut hydrodynaamiset ominaisuudet eivat poikenneet paljoa toisistaan, kun taas prosessiliuoksella kaasunjakolaitteiden valille saatiin huomattavat erot. Mittausmenetelmista laser Doppler-anemometri ei kaytettavissa olleella optiikalla soveltunut kaasukuplien mittaamiseen. Kuplat olivat menetelmalle liian suuria. Suumopeusvideokamerallaja paine-eromittauksella paastiin hyviin tuloksiin.
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Tulisijojen tekniikkaan kohdistuu yhä kovempia vaatimuksia sekä kuluttajien että myös erityisesti viranomaismääräysten suunnalta. Tämän työn tarkoituksena on osaltaan luoda pohjaa näiden vaatimusten täyttämiselle. Työn tavoitteena oli määrittää lämmönsiirtokerroin tyypillisen vuolukivirakenteisen tulisijan poskikanavassa savukaasun ja kanavan seinämän välillä. Työ koostuu mittauslaitteen suunnittelusta, käytännön mittauksista ja mittaustulosten analysoinnista teoriaan verrattuina. Työ pohjautuu käytännön mittauksiin kahdella koeuunilla. Mittaukset kohdistuivat uunien poskikanavissa ja poskikanavan seinämissä tapahtuviin lämpötilamuutoksiin. Toisessa koeuunissa mitattiin myös poskikanavan savukaasun lämpötilajakauma. Mittauksilla saatua sekä teoreettisesti määritettyä lämpötilajakaumaa verrattiin toisiinsa. Lämmönsiirtokertoimet määritettiin lämpötilojen ja savukaasun massavirran perusteella. Tuloksena saatiin paikalliset sekä yleispätevät lämmönsiirtokertoimet savukaasun lämpötilan funktiona.
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The literature part of the work reviews overall Fischer-Tropsch process, Fischer-Tropsch reactors and catalysts. Fundamentals of Fischer-Tropsch modeling are also presented. The emphasis is on the reactor unit. Comparison of the reactors and the catalysts is carried out to choose the suitable reactor setup for the modeling work. The effects of the operation conditions are also investigated. Slurry bubble column reactor model operating with cobalt catalyst is developed by taking into account the mass transfer of the reacting components (CO and H2) and the consumption of the reactants in the liquid phase. The effect of hydrostatic pressure and the change in total mole flow rate in gas phase are taken into account in calculation of the solubilities. The hydrodynamics, reaction kinetics and product composition are determined according to literature. The cooling system and furthermore the required heat transfer area and number of cooling tubes are also determined. The model is implemented in Matlab software. Commercial scale reactor setup is modeled and the behavior of the model is investigated. The possible inaccuraries are evaluated and the suggestions for the future work are presented. The model is also integrated to Aspen Plus process simulation software, which enables the usage of the model in more extensive Fischer-Tropsch process simulations. Commercial scale reactor of diameter of 7 m and height of 30 m was modeled. The capacity of the reactor was calculated to be about 9 800 barrels/day with CO conversion of 75 %. The behavior of the model was realistic and results were in the right range. The highest uncertainty to model was estimated to be caused by the determination of the kinetic rate.
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The chemistry of gold dissolution in alkaline cyanide solution has continually received attention and new rate equations expressing the gold leaching are still developed. The effect of leaching parameters on gold gold cyanidation is studied in this work in order to optimize the leaching process. A gold leaching model, based on the well-known shrinking-core model, is presented in this work. It is proposed that the reaction takes place at the reacting particle surface which is continuously reduced as the reaction proceeds. The model parameters are estimated by comparing experimental data and simulations. The experimental data used in this work was obtained from Ling et al. (1996) and de Andrade Lima and Hodouin (2005). Two different rate equations, where the unreacted amount of gold is considered in one equation, are investigated. In this work, it is presented that the reaction at the surface is the rate controlling step since there is no internal diffusion limitation. The model considering the effect of non-reacting gold shows that the reaction orders are consistent with the experimental observations reported by Ling et al. (1996) and de Andrade Lima and Hodouin (2005). However, it should be noted that the model obtained in this work is based on assumptions of no side reactions, no solid-liquid mass transfer resistances and no effect from temperature.
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Stable isotope fractionation analysis of contaminants is a promising method for assessing biodegradation of contaminants in natural systems. However, standard procedures to determine stable isotope fractionation factors, so far, neglect the influence of pollutant bioavailability on stable isotope fractionation. On a microscale, bioavailability may vary due to the spatio-temporal variability of local contaminant concentrations, limited effective diffusivities of the contaminants and cell densities, and thus, the pollutant supply might not meet the intrinsic degradation capacity of the microorganisms. The aim of this study was to demonstrate the effect of bioavailability on the apparent stable isotope fractionation, using a multiphase laboratory setup. The data gained show that the apparent isotope fractionation factors observed during biodegradation processes depend on the amount of biomass and/or the rate of toluene mass transfer from a second to the aqueous phase. They indicate that physico-chemical processes need to be taken into account when stable isotope fractionation analysis is used for the quantification of environmental contaminant degradation.
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Työn kirjallisuusosassa selvitettiin eri tekijöiden (lämpötila, paine, mineralogia, partikkelikoko, sekoitus, kiintoainepitoisuus, liuoksen happo-, rauta- ja happipitoisuus) vaikutusta sinkkirikasteen suoraliuotusprosessin tärkeimpiin ilmiöihin (diffuusio, aineensiirto, reaktiokinetiikka). Kirjallisuusosassa kartoitettiin myös tämän hetkistä tietämystä niistä tekijöistä, jotka ovat oleellisia, kun sinkkirikasteen suoraliuotusprosessia mallinnetaan. Näitä tekijöitä ovat: sinkkirikasteiden liuotuksen kemia, sinkkirikasteiden liuotuksen kinetiikka ja mekanismit, kaasuneste aineensiirto ja kiinteäneste aineensiirto. Lisäksi selvitettiin millä tavoin aikaisemmissa tutkimuksissa sinkkirikasteiden suoraliuotusta on mallinnettu. Mallinnusosassa käsiteltiin atmosfääristä sinkkirikasteen suoraliuotusta, jossa hapettimena toimi ferri(III)rauta. Mallintamisessa käytettiin kirjallisuudessa esitettyjä mittaustuloksia ja mallintaminen tehtiin Modest tietokoneohjelmistolla. Työssä tehty atmosfäärisen suoraliuotuksen mallintaminen labo-ratoriomittakaavassa (laimeat liuokset ja pienet kiintoainepitoisuudet) antoi lupaavia tuloksia. Ongelmia mallin ennustuksen kanssa esiintyi pienissä happopitoisuuksissa, alhaisissa lämpötiloissa sekä pienillä ja suurilla partikkeleilla. Työn kirjallisuusosassa tunnistettiin ne ongelmakohdat, jotka vaativat lisätutkimuksia, jotta sinkkirikasteen atmosfääriselle suoraliuotukselle pystytään kehittämään simulointimalli. Näitä ovat: 1. Hapen liukoisuus ja aineensiirto teollisuuden käyttämissä sinkkirikastelietteissä, 2. Sopivien mittaustulosten puuttuminen, jotta atmosfääristä suoraliuotusta, jossa O2 ja Fe3+ toimivat hapettimena voitaisiin mallintaa, 3. Kiinteäneste aineensiirron merkitys sinkkirikasteen suoraliuotuksessa. Mallinnusosassa osoitettiin, että mekanistisella mallintamisella voidaan simuloida sinkkirikasteen atmosfääristä suoraliuotusta ainakin laboratoriomittakaavassa. Työn perusteella voidaan todeta, että sinkkirikasteen atmosfääriselle suoraliuotukselle voidaan työssä ehdotettujen jatkotutkimusten avulla kehittää numeerinen mekanistinen malli, jolla atmosfääristä sinkkirikasteiden suoraliuotusprosessia voidaan simuloida eri olosuhteissa.