Fouling in a nanofitration membrane module is usually a result of concentration polarization. The effect of permeate suction on the slightly negatively charged spiral wound nanofiltration membrane is investigated. According to the film theory, the mass transfer coefficient is inversely proportional to concentration polarization. The effect of permeate suction destabilizes the boundary layer. This will decrease the concentration polarization layer, and consequently will increase mass transfer through the membrane's surface. To validate the hypothesis, experiments were carried out on a NF membrane that can be described by the solution-diffusion model. This model has coefficients that can be measured experimentally. Using the membrane wall concentration in this model instead of the bulk feed concentration can help estimating the mass transfer coefficient more appropriately. Two experimental studies were carried out, one with a standard high pressure pump, and another one with the added effect of suction pressure applied to the permeate collector tube. Three different concentrations of binary dilute solutions of NaCl, MgSO4, and MgCl2, at three different pressures (low, medium, and high) were tested. For all tested solutions, permeate suction increased the diffusive Peclet number as a function of the feed concentration (x) according to the equation Pe = a1x²+b1x+c1, with R²>0.99, where x is the feed concentration in Mol/l, and a1, b1, and c1 are coefficients dependent on feed pressure for every salt solution. With the increase of the Peclet number, it was observed that the concentration polarization decreased, and both the product flow and the product quality were improved. Suction had the greatest impact at the range of 100 to 110 psi feed pressure, where the concentration polarization reduced approximately 14 to 20 %. ANOVA for the concentration polarization showed that suction was significant in reducing the calculated concentration polarization layer for all tested solutions. It was concluded that permeate suction reduced concentration polarization, increased product flow rate, and improved product quality. Thus, adding permeate suction has beneficial consequences because it reduces membrane fouling and extends its useful service life.

No description available.

The High Pressure Test Unit (HPTU) forms part of the Pebble Bed Modular Reactor (PBMR) Heat Transfer Test Facility (HTTF). One of the test sections that forms part of the HPTU is the Braiding Effect Test Section (BETS). This test section allows for the evaluation of the so–called ‘braiding effect’ that occurs in fluid flow through a packed pebble bed. The braiding effect implies an apparent enhancement of the fluid thermal conductivity due to turbulent mixing that occurs as the flow criss–crosses between the pebbles. The level of enhancement of the fluid thermal conductivity is evaluated from the thermal dispersion effect. The so–called thermal dispersion quantity r K is equivalent to an effective Peclet number eff Pe based on the inverse of the effective thermal conductivity eff k . This thesis describes the experiments carried out on three different BETS test sections with pseudo–homogeneous porosities of 0.36, 0.39 and 0.45, respectively. It also provides the values derived for the enhanced fluid thermal conductivity for the range of Reynolds numbers between 1,000 and 40,000. The study includes the following: * Compilation of a literature study and theoretical background. * An uncertainty analysis to estimate the impact of instrument uncertainties on the accuracy of the empirical data. * The use of a Computational Fluid Dynamics (CFD) model to simulate the heat transfer through the BETS packed pebble bed.* Application of the CFD model combined with a numerical search technique to extract the effective fluid thermal conductivity values from the measured results. * The assessment of the results of the experiments by comparing it with the results of other investigations found in the open literature. The primary outputs of the study are the effective fluid thermal conductivity values derived from the measured data on the HPTU plant. The primary variables that were measured are the temperatures at radial positions at different axial depths inside the bed and the total mass flow rate through the test section. The maximum and minimum standard uncertainties for the measured data are 10.80% and 0.06% respectively. The overall effective thermal conductivities that were calculated at the minimum and maximum Reynolds numbers were in the order of 1.166 W/mK and 38.015 W/mK respectively. A sensitivity study was conducted on the experimental data and the CFD data. A maximum uncertainty of 5.92 % was found in the calculated effective thermal conductivities. The results show that relatively high values of thermal dispersion quantities or effective Peclet numbers are obtained for the pseudo–homogeneous packed beds when compared to randomly packed beds. Therefore, the effective thermal conductivity is low and it can be concluded that the radial mixing in the structured packing is low relative to the mixing obtained in randomly packed beds. / Thesis (M.Ing. (Mechanical Engineering))--North-West University, Potchefstroom Campus, 2011.

The High Pressure Test Unit (HPTU) forms part of the Pebble Bed Modular Reactor (PBMR) Heat Transfer Test Facility (HTTF). One of the test sections that forms part of the HPTU is the Braiding Effect Test Section (BETS). This test section allows for the evaluation of the so–called ‘braiding effect’ that occurs in fluid flow through a packed pebble bed. The braiding effect implies an apparent enhancement of the fluid thermal conductivity due to turbulent mixing that occurs as the flow criss–crosses between the pebbles. The level of enhancement of the fluid thermal conductivity is evaluated from the thermal dispersion effect. The so–called thermal dispersion quantity r K is equivalent to an effective Peclet number eff Pe based on the inverse of the effective thermal conductivity eff k . This thesis describes the experiments carried out on three different BETS test sections with pseudo–homogeneous porosities of 0.36, 0.39 and 0.45, respectively. It also provides the values derived for the enhanced fluid thermal conductivity for the range of Reynolds numbers between 1,000 and 40,000. The study includes the following: * Compilation of a literature study and theoretical background. * An uncertainty analysis to estimate the impact of instrument uncertainties on the accuracy of the empirical data. * The use of a Computational Fluid Dynamics (CFD) model to simulate the heat transfer through the BETS packed pebble bed.* Application of the CFD model combined with a numerical search technique to extract the effective fluid thermal conductivity values from the measured results. * The assessment of the results of the experiments by comparing it with the results of other investigations found in the open literature. The primary outputs of the study are the effective fluid thermal conductivity values derived from the measured data on the HPTU plant. The primary variables that were measured are the temperatures at radial positions at different axial depths inside the bed and the total mass flow rate through the test section. The maximum and minimum standard uncertainties for the measured data are 10.80% and 0.06% respectively. The overall effective thermal conductivities that were calculated at the minimum and maximum Reynolds numbers were in the order of 1.166 W/mK and 38.015 W/mK respectively. A sensitivity study was conducted on the experimental data and the CFD data. A maximum uncertainty of 5.92 % was found in the calculated effective thermal conductivities. The results show that relatively high values of thermal dispersion quantities or effective Peclet numbers are obtained for the pseudo–homogeneous packed beds when compared to randomly packed beds. Therefore, the effective thermal conductivity is low and it can be concluded that the radial mixing in the structured packing is low relative to the mixing obtained in randomly packed beds. / Thesis (M.Ing. (Mechanical Engineering))--North-West University, Potchefstroom Campus, 2011.

A numerical model for describing the kinetics of intracellular water transport during cryopreservation was developed. As ice is formed outside the cell, depleting the extracellular liquid of water, the cell will experience an osmotic pressure difference across its membrane, which causes cell dehydration and concomitant shrinkage. Although Mazur (1963) has previously modeled this phenomenon as a two-compartment system with membrane limited transport, the assumption of well-mixed compartments breaks down at large Biot numbers. Therefore, we have developed a numerical solution to this moving-boundary problem, including diffusive transport in the intracellular liquid, in addition to the osmotically driven membrane flux. Our model uses a modified Crank-Nicolson scheme with a non-uniform Eulerian-Lagrangian grid, and is able to reproduce predictions from Mazurs model at low Biot numbers, while generating novel predictions at high Biot numbers. Given that cell damage may result from excessive water loss, our model can be used to predict freezing methods that minimize the probability of cell injury during the cryopreservation process.

Thesis submitted in fulfilment of the requirements for the degree Doctor technologiae (engineering: chemical) In the faculty of engineering at the cape peninsula university of technology / Since the first uses of hollow-fiber membrane bioreactors (MBR’s) to immobilize whole cells were reported in the early 1970’s, this technology has been used in as wide ranging applications as enzyme production to bone tissue engineering. The potential of these devices in industrial applications is often diminished by the large diffusional resistances of the membranes. Currently, there are no analytical studies on the performance of the MBR which account for both convective and diffusive transport. The purpose of this study was to quantify the efficiency of a biocatalytic membrane reactor used for the production of enzymes. This was done by developing exact solutions of the concentration and velocity profiles in the different regions of the membrane bioreactor (MBR). The emphasis of this study was on the influence of radial convective flows, which have generally been neglected in previous analytical studies. The efficiency of the MBR was measured by means of the effectiveness factor. An analytical model for substrate concentration profiles in the lumen of the MBR was developed. The model was based on the solution of the Navier-Stokes equations and Darcy’s law for velocity profiles, and the convective-diffusion equation for the solute concentration profiles. The model allowed for the evaluation of the influence of both hydrodynamic and mass transfer operating parameters on the performance of the MBR. These parameters include the fraction retentate, the transmembrane pressure, the membrane hydraulic permeability, the Reynolds number, the axial and radial Peclet numbers, and the dimensions of the MBR. The significant findings on the hydrodynamic studies were on the influence of the fraction retentate. In the dead-end mode it was found that there was increased radial convective flow, and hence more solute contact with the enzymes/biofilm immobilised on the surface of the membrane. The improved solute-biofilm contact however was only limited to the entrance half of the MBR. In the closed shell mode there was uniform distribution of solute, however, radial convective flows were significantly reduced. The developed model therefore allowed for the evaluation of an optimum fraction retentate value, where both the distribution of solutes and radial convective flows could be maximised.

[pt] O fenômeno de retorno de chama em tubos é conhecido e estudado há várias décadas. Sua análise clássica é baseada na determinação do gradiente de velocidade crítico, Gc, que o delimita como função das propriedades das misturas combustíveis. Entretanto, não é conhecido o efeito da diluição por CO2, importante para a previsão da segurança das instalações do pré-sal. Por isto, são aqui desenvolvidos estudos específicos do retorno de chamas pré-misturadas em escoamentos laminares. O objetivo geral deste trabalho é determinar experimentalmente a influência da diluição por CO2 sobre o retorno de chamas (flashback) em misturas de hidrocarbonetos (CH4 ou propano) e de ar. O levantamento do estado da arte permitiu especificar as características da instalação experimental para o estudo deste fenômeno e, também, identificar as principais questões a serem abordadas. Foi projetado e construído um aparato experimental para o estudo do flashback em escoamentos laminares. Os resultados originais obtidos mostram como a propensão ao retorno de chama é influenciada pela natureza do combustível, pela estequiometria da mistura e pela diluição. Misturas de propano possuem maior propensão ao flashback e maiores valores de Gc do que as de metano. Também foi mostrado que há uma redução da propensão ao flashback com o aumento da diluição. Esta propensão foi relacionada aos números adimensionais que caracterizam a combustão, isto é, os números de Lewis, Péclet, Karlovitz e Zel dovich. Para este último, uma proposta original visando sua determinação é apresentada, que envolve uma expressão da taxa de liberação de calor da reação química global controlada por uma variável de progresso. Esta formulação permite resolver o problema da singularidade na região da estequiometria. / [en] The flashback phenomenon in tubes has been known and studied for several decades. Its classical analysis is based on the determination of the critical velocity gradient, Gc, which delimits it as a function of the fuel mixture properties. However, the effect of the CO2 dilution is not known, which is important for predicting the safety of pre-salt facilities. For this reason, specific studies of premixed flame flashback in laminar flows are developed here. The general objective of this work is to experimentally determine the influence of CO2 dilution on flame flashback in mixtures of hydrocarbons (CH4 and propane) and air. The state of the art research made it possible to specify the characteristics of the experimental installation for this phenomenon study and, also, to identify the main issues to be addressed. An experimental apparatus was designed and built to study the flame flashback in laminar flows. The original results obtained show how the propensity of the flame flashback is influenced by the nature of the fuel, the stoichiometry of the mixture, and the dilution. Propane mixtures have a greater propensity for flashback and higher values of Gc than those of methane. It has also been shown that there is a reduction in the propensity of flashback with increasing dilution. This propensity was related to the dimensionless numbers that characterize combustion, that is, the Lewis, Péclet, Karlovitz, and Zel dovich numbers. For the latter, an original proposal aimed at its determination is presented, which involves an expression of the heat release rate from the global chemical reaction controlled by a progress variable.

No description available.

La compréhension des mécanismes pilotes de la stabilisation des flammes-jet non-prémélangées constitue un point clé dans la caractérisation des modes opératoires des brûleurs industriels fonctionnant en régime de combustion diluée. Ce travail porte son attention sur l'étude expérimentale de l'influence de la dilution du combustible ou de l'air, sur le processus de décrochage et l'émission des polluants d'une flamme-jet non-prémélangée accrochée au brûleur. L'investigation est menée via un grand nombre d'expériences par combinaison des conditions suivantes : i) dioxyde de carbone (CO2), azote (N2), argon (Ar) et vapeur d'eau (H2Ov), sont utilisés comme diluants ; ii) deux configurations de dilution : dilution de l'air ou dilution du combustible ; iii) un couple de vitesses d'air et de combustible couvrant le domaine d'hystérésis de la flamme dans sa totalité, du régime de jet laminaire à celui de jet turbulent. Ceci permet de discriminer l'influence des effets intrinsèques à la nature du diluant de celle de l'aérodynamique des réactants (combustible et oxydant), dans la stabilité de la flamme accrochée. En particulier, les différences comportementales de la réponse de la flamme à la dilution de l'air ou à celle du combustible, sont analysées. Ces deux configurations de dilution diffèrent par deux effets de mélange, indépendants de la réaction, qui jouent un rôle important dans le cas de la dilution du combustible, mais sont négligeables dans le cas de celle de l'air : i) un effet dû à la modification de la fraction de mélange stœchiométrique. ii) un impact mécanique induit par l'apport de matière (diluants) responsable d'une augmentation de la vitesse des réactants. L'étude se divise en trois principales étapes. D'abord la réponse globale de la flamme à la dilution est étudiée via ses limites de décrochage quantifiées par les fractions molaires critiques des diluants dans l'oxydant ou dans le combustible, mesurées au décrochage. Le nombre de Peclet du combustible, Pef, est identifié comme le nombre adimensionnel qui ordonne ces limites de décrochage de manière homothétique pour tous les diluants. Grâce au comportement homothétique deux coefficients d'affinité, Kd,ox pour le cas de la dilution de l'air et Kd,f pour celle du combustible, sont introduits. Ils sont définis comme le rapport entre la limite de décrochage obtenue avec un diluant et celle obtenue avec le CO2 , à Pef = cste. Ceux-ci permettent l'établissement de deux polynômes génériques décrivant les limites de décrochage pour tous les diluants testés et dans toute la gamme des conditions aérodynamiques étudiées. En effet, Kd,ox et Kd,f englobent l'ensemble des effets physico-chimiques d'un diluant (dilution pure, thermique, propriétés de transport, chimie) et ceux des impacts mécaniques, affectant la stabilité de la flamme. Ils permettent de trouver les lois d'auto-similitude au décrochage pour un diluant chimiquement faible quelconque, à partir des résultats obtenus dans ce travail. Ensuite, une étude locale et détaillée du processus de décrochage induit par la dilution est réalisée. Celui-ci se base sur l'approche du bout propagatif décrivant la stabilité de la flamme accrochée comme résultant d'un équilibre à sa base entre la vitesse de l'écoulement et la vitesse de propagation. Afin de démontrer le lien entre cette approche et la stabilité de la flamme, une analyse approfondie des caractéristiques de sa base (localisation, intensité du radical CH* et champ de vitesses) est réalisée. Les résultats confirment la pertinence de l'approche du bout propagatif, comme mécanisme descriptif de la stabilisation de la flamme accrochée en présence de dilution. Enfin, une étude caractérisant aussi bien l'influence de la nature des diluants que celle de la configuration de dilution choisie (air ou combustible), sur l'émission des polluants (suies, NOx et CO), est présentée. / Understanding the main mechanisms piloting non-premixed jet flame stability is an important point in characterizing the operation modes of industrials burners in which dilution is involved. This work puts special emphasis on the experimental study of the influence of air-side and methane-side dilution in the lifting process of attached non-premixed jet flames. The study is based on numerous experiments combining the following conditions : i) carbon dioxide (CO2), nitrogen (N2), argon (Ar) or water vapor (H20v,) used as diluents d ; ii) two diluted configurations : air-side or methane-side dilution ; iii) two air and fuel velocities covering the entire flame hysteresis domain, from the laminar to the turbulent regime. This allows the influence of the intrinsic diluent nature effects to be discriminated from those of the aerodynamics of the reactants (fuel and oxidant), in attached flame stability. In particular, the behavioral differences of the flame response to air-side or to fuel-side dilution are analyzed. These two configurations differ by two mixing effects which are independent of the combustion reaction, and which are significant when the fuel is diluted, but negligible when air is diluted : i) an effect due to the changes in the stoichiometric mixture fraction ; ii) a mechanical impact induced by the addition of matter (diluents) producing an increase in the bulk velocity of the reactants. The study is composed of three parts. First, the global flame response to dilution is analyzed on the basis of the lifting limits defined as the critical molar fractions of the diluents in the fuel or in the oxidant measured at liftoff. The fuel Peclet number, Pef, appears as the dimensionless number which puts these limits in a homothetic order. This homothetic behavior allows the introduction of two affinity parameters, Kd,ox for air-side dilution and Kd,f for fuel-side dilution. They are defined by the ratio of the flame lifting limits calculated with a diluent d and with CO2, at Pef=const. Kd,ox and Kd, allow two generic polynomial laws to be established describing the flame lifting limits for all the diluents and in the whole range of aerodynamic conditions of this study. Indeed, Kd,ox and Kd,f encompass all the diluent effects affecting flame stability (pure dilution, thermal, transport, chemical), to which mechanical impacts are added. These coefficients make it possible to obtain the self-similarity laws of the lifting limits for any chemically-weak diluent, by using the results obtained in this work. Then, a local and detailed study of the flame lifting process induced by dilution is presented. This is based on the flame-leading-edge approach describing flame stability as a result of the balance between the incoming gas velocity of the reactants and the flame propagation velocity at the flame base. In order to show the link between this approach and flame stability, an extensive analysis of the flame-base characteristics (location, CH* emission intensity and velocity field) is carried out. The results attest to the pertinence of the propagative flame-leading-edge, as the mechanism describing the attached flame stability under dilution. Finally, a study concerning the influence of both the diluent nature and the diluted configuration (air or fuel) on pollutant emissions (soot, NOx and CO) is presented.