Micrometer injection moulding is a type of moulding in which moulds have geometrical design features on a micrometer scale that must be transferred to the geometry of the produced part. The difficulties encountered due to very high shear and rapid heat transfer of these systems has motivated this investigation into the fundamental mathematics behind polymer heat transfer and associated processes. The aim is to derive models for polymer dynamics, especially heat dynamics, that are considerably less approximate than the ones used at present, and to translate this into simulation and optimisation algorithms and strategies, Thereby allowing for greater control of the various polymer processing methods at micrometer scales.

<p> Working within the framework of the linearized Boltzmann equation for the conduction electrons the existing theoretical treatments of ultrasonic attenuation in metals are extended to include realistic descriptions of the electronic structure and electron-lattice interaction. A variational solution of the Boltzmann equation which allows the inclusion of phonon drag effects is derived. An anisotropic scattering time solution is also presented. Both of these solutions are applied to calculation of the attenuation coefficient in pure metals and dilute alloys. </p> <p> The theory of the effects of electron-electron collisions on the ultrasonic attenuation in metals is also examined. </p> / Thesis / Doctor of Philosophy (PhD)

京都大学 / 新制・課程博士 / 博士(理学) / 甲第24167号 / 理博第4858号 / 新制||理||1695(附属図書館) / 京都大学大学院理学研究科物理学・宇宙物理学専攻 / (主査)教授 早川 尚男, 教授 佐々 真一, 教授 山本 潤 / 学位規則第4条第1項該当 / Doctor of Science / Kyoto University / DFAM

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Many of the flows in nature are turbulent. To modify turbulent flows, nature serves itself with different types of coatings. Sharks have riblets-like structures on their skin, fishes have slime with polymers and the surface of the lotus flower has superhydrophobic properties. However many times these naturally occurring coatings also serve other purposes. Due to millions of years of adaption, there are anyway many reasons to be inspired by these. The present work is an investigation of nature inspired coatings with the aim of passive flow manipulations. The goal of the investigation has not been to achieve drag reduction, but to achieve a better understanding of the effect of these coatings on turbulent flows. Simulations have been performed in a channel flow configuration, where the boundary condition on one wall has been modified. A macroscopic description has been used to simulate superhydrophobic and porous-like surfaces and a microscopic description has been used to simulate suspended fibers, both rigid and flexible, attached to the channel wall. For the macroscopic description, a pseudo-spectral method was used and for the microscopic description a lattice-Boltzmann method was used. The superhydrophobic modification was implemented using a general slip tensor formulation. In agreement with earlier results, drag reduction was achieved with slip in the streamwise direction and slip in the spanwise direction resulted in drag increase. Non-zero off-diagonal terms in the slip tensor resulted in a slight drag increase, but with rather similar flow behaviour. Transpiration, imitating a porous media, gave rise to drag increase and severely modified the turbulent structures, forming two-dimensional structures elongated in the spanwise direction. For the short fibers, neither rigid nor flexible fibers modified the velocity field to a large extent. The fibers gave rise to recirculation regions and these were seen to be stronger below high-speed streaks. Flexible fibers showed similarities to porous media through a coupling of wallnormal velocity and pressure fluctuations, and this was not seen for the rigid fibers. The fiber deflections were seen to correlate well with the pressure fluctuations. / Många naturligt förekommande flöden är turbulenta. Naturen har också gett upphov till flera typer av ytskikt som kan påverka dessa. Hajars skinn har räfflor, fiskar har slem som innehåller polymerer och lotusblommans yta har superhydrofobiska egenskaper, men ofta har dessa naturliga ytskikt också andra egenskaper. På grund av miljoner år av anpassning så finns det ändå många skäl att studera dessa. Detta arbete är en studie av naturinspirerade ytskikt, där målet har varit passiva flödesmanipulationer. Målet har inte varit att åstadkomma en ytfriktionsminskning, utan att få en bättre förståelse om hur dessa ytskikt påverkar turbulenta flöden. Simuleringar har utförts i en kanalliknande geometri, där en kanalväggs randvillkor har modifierats. En makroskopisk beskrivning har använts för att simulera superhydrofobiska och porösa ytor och en mikroskopisk beskriving har använts för att simulera fibrer, både stela och böjbara, fastsatta på en kanalvägg. För flödet med det makroskopiskt beskrivna randvillkoret har en pseudospektral metod använts och för flödet med det mikroskopiskt beskrivna randvillkoret har en lattice-Boltzmannmetod använts. Den superhydrofobiska ytan implementerades genom en generell tensorformulering. Ett randvillkor med nollskild hastighet i kanalens riktning gav upphov till en ytfriktionsminskning och ett randvillkor med nollskild hastighet vinkelrät mot kanalens riktning gav upphov till en ökad ytfriktion, i överensstämmelse med tidigare resultat. Nollskilda icke-diagonala tensorelement gav upphov till en smärre ökning av ytfriktionen, utan att nämnvärt förändra flödet. De porösa ytorna gav upphov till en ytfriktionsökning och hade stor inverkan på de turbulenta strukturerna. Dessa ytor bildade tvådimensionella struturer vinkelrät mot kanalens riktning. Varken de stela eller de böjbara fibrerna gav upphov till stora ändringar i hastighetsfältet. Däremot uppstor cirkulationszoner och dessa var starkare under stråkstrukturer med hög hastighet. De böjbara fibrerna uppvisade likheter med porösa material genom en interaktion mellan det vertikala hastighetsfältet och de turbulenta tryckfluktuationerna. Denna interaktion uppstod inte för de stela fibrerna. Fibrernas böjning korrelerade också i stor utsträckning till tryckfluktuationerna.

The lattice Boltzmann method (LBM) is widely studied andused in the last years to replace the conventional numerical solvers forthe Navier-Stokes equations. In this work, a general introduction tofluid dynamics equations and the changes when the flow is a reactivemulti-species one will be given first. The lattice Boltzmann method andalgorithm will then be explained in details with the kinetic theorybehind, tested and validated for canonical test cases of doubly shearlayer flow in reactive and non-reactive flows. Finally the method willbe applied to simulate a non-reacting propane jet and the results willbe validated using experimental data. The objectives of this thesis are mainly: first a better understandingof the LBM, the combustion reactions, the jets and how they work, secondthe use of this method to produce a simple code that works for a basictest case, third validate this code with more developed methods, andfinally apply this method to simulate a more complex configuration whichis the non-reacting propane jet flame into co-flowing air / Gitter Boltzmann-metoden LBM studeras och används i stor utsträckning under de senaste åren för att ersätta de konventionella numeriska lösare för Navier-Stokes ekvationer.I detta arbete kommer en allmän introduktion till vätskedynamikekvationer och förändringarna när flödet är en reaktiv multiart att ges först.Gitter Boltzmann metod och algoritm kommer sedan att förklaras i detaljer med kinetisk teori bakom, testas och valideras för kanoniska testfall av dubbelt savskikt flöde i reaktiva och icke-reaktiva flöden.Slutligen kommer metoden att tillämpas för att simulera en icke-reagerande propanstråle och resultaten kommer att valideras med hjälp av experimentella data.\\ \\ Målen för denna avhandling är främst: först en bättre förståelse av LBM, förbränningsreaktionerna, jetstrålarna och hur de fungerar, för det andra användningen av denna metod för att producera en enkel kod som fungerar för ett grundläggande testfall, tredje validera denna kod med mer utvecklade metoder och slutligen tillämpa denna metod för att simulera en mer komplex konfiguration som är den icke-reagerande propanstrålelågan i co-flowing luft.

Oriunda da etapa de destilação do caldo do caldo da cana-de-açúcar, a vinhaça é um subproduto da produção de etanol. Apesar de seu difundido uso na agricultura canavieira como fertirrigação, sua disposição no solo tem sido questionada quanto a possíveis riscos ambientais. Uma destinação alternativa à vinhaça e seu tratamento anaeróbio, considerado bastante atrativo haja vista a possibilidade de recuperação de energia na forma de biogás, sem interferir em suas qualidades como biofertilizante. Entre os sistemas de tratamento anaeróbios, os reatores de leito fixo têm sido amplamente utilizados devido à sua estabilidade operacional. A modelagem abrangente destes tipos reatores tende a ser complexa de forma que o estudo dos escoamentos em seu interior do reator é vital. Neste contexto, o objetivo deste trabalho foi analisar e simular numericamente a hidrodinâmica de reator de leito fixo de fluxo ascendente tipo APBR (anaerobic packed bed reactor). Em termos gerais, os resultados obtidos por simulação foram confrontados tanto com os correspondentes valores experimentais como com aqueles obtidos a partir dos modelos uniparamétricos comumente usados para representar reatores não ideais. Para tanto, foram empregados dados pré-existentes de ensaios hidrodinâmicos conduzidos no início e no final da operação, com biorreator alimentado com solução-traçador na forma de degrau a vazões de 4,6 L/dia e 2,3 L/dia. Foram considerados os modelos de dispersão de pequena e grande intensidade bem como o modelo de tanques agitados em série. Quanto às simulações numéricas, foi usado o software de CFD (fluidodinâmica computacional)COMSOL Multiphysics &reg; 4.3b.As curvas DTR obtidas via simulação e com base nos modelos para reatores não ideais foram confrontadas com as curvas obtidas experimentalmente. Para o reator operando com vazão de 2,3 L/dia, nenhum dos modelos propostos mostrou-se adequado quanto ao final da operação, em razão da incapacidade em representar o surgimento de picos de concentração que podem estar associados ao acúmulo de biomassa no interior do biorreator, mas também ao tipo de traçador utilizado para a realização do experimento. As demais curvas DTR sugerem que o reator em questão aproxima-se do tipo pistonado. O simulador CFD representou de forma bem adequada os dados experimentais em comparação com resultados obtidos a partir dos modelos para reatores não ideais. A simulação numérica de biorreatores para tratamento de efluentes mostrou-se, pois, capaz de fornecer informações mais detalhadas e precisas, geralmente úteis a engenharia do processo. Adicionalmente, foi implementado um simulador com base no método de Boltzmann em rede (lattice Boltzmann method, LBM) capaz de simular escoamento laminar bidimensional em regime permanente no interior de um canal. No escopo de uma linha de pesquisa em simulação LBM de biossistemas agroindustriais, trata-se de um esforço inicial quanto à simulação LBM da hidrodinâmica de biorreatores para tratamento de efluentes em geral. / Resulting from sugarcane juice distillation, vinasse is a by-product from ethanol industry. Despite its widespread use as fertirrigation at crops, direct deposition of vinasse into soils has raised environmental issues. Alternatively, it may undergo anaerobic treatment, which is very attractive in view of energy recovery as biogas while preserving vinasse quality as biofertilizer. Among anaerobic treatment systems, fixed-bed reactors come forward due to their operational stability. Their comprehensive modeling is prone to be complex so that the study of fluid flows prevailing inside is fundamental. Accordingly, the goal of this work was to numerically analyze and simulate the hydrodynamics within a particular upflow fixedbed reactor, namely anaerobic packed bed reactor. In general, results from simulations were compared with experimental counterparts as well as against results from well-known single-parameter models for non-ideal reactors. Existing data from hydrodynamic tests were then used, concerning operation at both start-up and shut-down and bioreactor stepwise feeding with tracer solution flow at 4,6 L/day and 2,3 L/day. Non-ideal reactor models comprised either low or high-dispersion together with continuous stirred-tank reactor model while COMSOL Multiphysics &reg; 4.3b CFD (computational fluid dynamics) software was employed for simulations. Retention time distribution (RTD) curves from simulations and from model calculations were compared to experimental ones. For operation at 2,3 L/day flow, no models proved to be suitable as far as shut-down operation is concerned, due to biomass accumulation inside the bioreactor. Remaining RTD curves suggested that reactor behavior resembles plug-flow type. Compared to non-ideal reactor models, CFD simulations proved to properly reproduce experimental data while being able to provide detailed and accurate information for process engineering towards effluent treatment. Furthermore, a numerical simulator was implemented as based on the lattice Boltzmann method (LBM) in order to deal with two-dimensional steady-state laminar flow inside a channel. As part of research work on LBM simulation of agroindustrial biosystems, aforesaid simulator contributed to LBM simulation of hydrodynamics within bioreactors for wastewater treatment in general.

La circulation sanguine joue un rôle vital en microcirculation, et ce pour le transport de l'oxygène, le dioxide de carbone et d'autres nutriments. Les globules rouges (GR) constituent la majorité des cellules du sang, c'est pourquoi par "écoulement sanguin", nous entendrons "écoulement d'une suspension de GR". Pendant longtemps l'écoulement sanguin était vu comme un phénomène passif où les GR sont considérés comme des cargos d'oxygène. La vision moderne est tout autre: l'écoulement sanguin est bel et bien un phénomène actif. Les GR ainsi que les cellules endothéliales (qui tapissent les faces internes des vaisseaux sanguins) sont impliquées dans un grand nombre de signalisations biochimiques induites par les contraintes hydrodynamiques, la route vers des régulations vasomotrices sans l'intervention du système nerveux. Par exemple, les GR ne transportent pas que l'oxygène, mais également de l'ATP (adenosine triphosphate), qui est libérée suite à des changements de conformation de protéines membranaires induite par les contraintes hydrodynamiques. Cette thèse est dédiée à la circulation sanguine et son couplage avec la signalisation biochimique ayant lieu en microcirculation. Plus précisément, les questions traités dans cette thèse sont i) la dynamique des GR, ii) le problème de la diffiusion-advection d'espèces chimiques au sein des écoulements sanguins, et iii) le rôle de la géométrie des réseaux vasculaires dans le processus de la signalisation biochimique mentionnés plus haut. Dans un premier temps nous analysons la dynamique de GR dans un écoulement de Poiseuille en présence de valeurs réalistes de contraste de viscosité. Dans un deuxième temps nous développons un modèle de diffusion-advection et le couplons aux écoulements sanguins en adoptant la méthode de Boltzmann sur réseaux; nous exploitons ensuite formulation en l'appliquant au problème de la libération de l'ATP par les GR sous écoulement. Enfin nous présentons des résultats préliminaires pour la problématique générale de l'écoulement sanguin mettant en jeu l'ATP libéré par les GR et la signalisation de calcium par les cellules endothéliales. Cette étude constitue un premier pas vers le problème général et ambitieux de la régulation locale mechano-biochimique impliquée dans la microcirculation. / Blood flow in microcirculation is vital for oxygen, carbon dioxide and nutrients transport. Most of blood cells are red blood cells (RBCs), so that by blood flow we mean flow of a suspension of RBCs. For long time blood flow has been mainly considered as a passive phenomenon, in which RBCs are viewed as passive carriers of oxygen. The modern view is completely different: blood flow is more active than we thought. The RBCs as well as vascular endothelial cells covering the internal walls of blood vessels are involved in a number of biochemical signaling processes that are triggered by shear stress eliciting a number of biochemical events, and ultimately resulting into vasomotor regulation without participation of the nerve system. For example, RBCs do not only carry oxygen but also ATP (adenosine triphosphate) , the release of which occurs thanks to changes of RBC membrane protein conformations caused by shear stress. Released ATP reacts with some endothelial membrane receptors leading to vasodilation. This thesis is devoted to blood flow and its coupling to biochemical signaling. More precisely, we investigate i) the dynamics of RBCs, ii) the advection diffusion of chemicals in blood flow and the role of iii) the geometry of vessel networks, in the mentioned signaling processes in microcirculations. Firstly, we study the RBC dynamics in a pipe flow with realistic viscosity contrast values, where a link between shape dynamics and rheology is established. Secondly, we develop an advection-diffusion solver that can handle general moving curved boundaries based on lattice-Boltzmann method (LBM); we then implement it for the study of the problem of ATP release from RBCs under shear flow. Membrane tension and deformation induced by shear stress together with vessel network geometry contribute to ATP release. Finally we demonstrate the capability of applying our model and our numerical tool to the complete problem of blood under flow involving ATP release from RBCs and endothelial calcium signaling as a preliminary step to the ambitious task of mechano-involved local regulation events in microcirculation.