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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
161

Simulação de escoamento de fluidos em superfícies definidas por pontos não organizados / Fluid flow simulation in surfaces defined by non-organized points

Estacio, Kémelli Campanharo 24 October 2008 (has links)
Atualmente diversos produtos são fabricados por meio de injeção de polímeros, num processo denominado moldagem por injeção: material fundido é injetado em um molde no qual resfria e endurece. Contudo, ao contrário de outros processos de produção, a qualidade da peça criada por meio de moldagem por injeção não depende apenas do material e da sua forma geométrica, mas também da maneira na qual o material é processado durante a moldagem. Por esse motivo, o uso de modelagem matemática e simulações numéricas tem aumentado consideravelmente como maneira de auxiliar o processo de produção e tem-se tornado uma ferramenta indispensável. Desta forma, este projeto tem o propósito de simular o escoamento de fluidos durante a fase de preenchimento do processo de moldagem por injeção, utilizando o modelo 21/2-dimensional, composto por uma equação bidimensional para a pressão, conhecida como equação de Hele-Shaw, e uma equação tridimensional para a temperatura do fluido. Um modelo bidimensional para a temperatura é também desenvolvido e apresentado. Este projeto de doutorado propõe duas estratégias numéricas para a solução da equação de Hele-Shaw. A primeira delas é baseada em uma formulação euleriana do método Smoothed Particle Hydrodynamics, onde os pontos utilizados na discretização não se movem, e não há utilização de malhas. A segunda estratégia é baseada na criação de malhas dinamicamente construídas na região do molde que já encontra-se parcialmente cheio de fluido e subseqüente aplicação do método Control Volume Finite Element Method. Uma estratégia dinâmica do método semi lagrangeano é apresentada e aplicada à solução da equação bidimensional da temperatura. O projeto também pretende investigar três novas abordagens para o tratamento da superfície livre. Duas delas são baseadas na técnica Volume of Fluid e uma delas é uma adaptação meshless do método Front-Tracking. O comportamento não newtoniano do fluido é caracterizado por uma família de modelos de viscosidade. Testes numéricos indicando a confiabilidade das metodologias propostas são conduzidos / Currently, several plastic products are manufactured by polymer injection, in a process named injection molding: molten material is injected into a thin mold where it cools and solidifies. However, unlike other manufacturing processes, the quality of injection-molded parts depends not only on the material and shape of the part, but also on how the material is processed throughout the molding. For this reason, the use of mathematical modelling and numerical simulations has been increasing in order to assist in the manufacturing process, and it has become an essential tool. Therefore, this Sc.D. project has the purpose of simulating the fluid flow during the filling stage of the injection molding process, using the 21/2-dimensional model, compounded by a two-dimensional equation for the pressure field (also known as Hele-Shaw equation) and a three-dimensional equation for the temperature of the fluid. A simpler two-dimensional model for the temperature field is also derived and presented. This project proposes two novel numerical strategies for the solution of Hele-Shaw equation. The first one is based on an Eulerian formulation of the Smoothed Particle Hydrodynamics method, where the particles used in the discretization do not move along as the simulation evolves, thereby avoing the use of meshes. In the second strategy, local active dual patches are constructed on-the-fly for each active point to form a dynamic virtual mesh of active elements that evolves with the moving interface, then the Control Volume Finite Element Method is applied for the pressure field approximation. A dynamic approach of the semi-Lagrangian scheme is applied to the solution of the two-dimensional temperature equation. The project also assesses three new approaches for the treatment of the free surface of the fluid flow. Two of them are based on the Volume of Fluid technique and one of them is a meshless adaptation of the Front-Tracking method. The non-Newtonian behavior is characterized by a family of generalized viscosity models. Supporting numerical tests and performance studies, which assess the accuracy and the reliability of the proposed methodologies, are conducted
162

Dynamics of Thin Films near Singularities under the Influence of non-Newtonian Rheology

Vishrut Garg (5929685) 02 January 2019 (has links)
<div>Free surface flows where the shape of the interface separating two fluids is unknown <i>apriori</i> are an important area of interest in fluid dynamics. The study of free surface flows such as the breakup and coalescence of drops, and thinning and rupture of films lends itself to a diverse range of industrial applications, such as inkjet printing, crop spraying, foam and emulsion stability, and nanolithography, and helps develop an understanding of natural phenomena such as sea spray generation in oceans, or the dynamics of tear films in our eyes. In free surface flows, singularities are commonly observed in nite time, such as when the radius of a thread goes to zero upon pinchoff or when the thickness of a film becomes zero upon rupture. Dynamics in the vicinity of singularities usually lack a length scale and exhibit self-similarity. In such cases, universal scaling laws that govern the temporal behavior of measurable physical quantities such as the thickness of a lm can be determined from asymptotic analysis and veried by high-resolution experiments and numerical simulations. These scaling laws provide deep insight into the underlying physics, and help delineate the regions of parameter space in which certain forces are dominant, while others are negligible. While the majority of previous works on singularities in free-surface flows deal with Newtonian fluids, many fluids in daily use and industry exhibit non-Newtonian rheology, such as polymer-laden, emulsion, foam, and suspension flows.</div><div><br></div><div><div>The primary goal of this thesis is to investigate the thinning and rupture of thin films of non-Newtonian fluids exhibiting deformation-rate-thinning (power-law) rheology due to attractive intermolecular van der Waals forces. This is accomplished by means of intermediate asymptotic analysis and numerical simulations which utilize a robust Arbitrary Eulerian-Lagrangian (ALE) method that employs the Galerkin/Finite-Element Method for spatial discretization. For thinning of sheets of power-law fluids, a signicant finding is the discovery of a previously undiscovered scaling regime where capillary, viscous and van der Waals forces due to attraction between the surfaces of the sheet, are in balance. For thinning of supported thin films, the breakdown of the lubrication approximation used almost exclusively in the past to study such systems, is shown to occur for films of power-law fluids through theory and conrmed by two dimensional simulations. The universality of scaling laws determined for rupture of supported films is shown by studying the impact of a bubble immersed in a power-law fluid with a solid wall.</div></div><div><br></div><div><div>Emulsions, which are ne dispersions of drops of one liquid in another immiscible liquid, are commonly encountered in a variety of industries such as food, oil and gas, pharmaceuticals, and chemicals. Stability over a specied time frame is desirable in some applications, such as the shelf life of food products, while rapid separation into its constituent phases is required in others, such as when separating out brine from crude oil. The timescale over which coalescence of two drops of the dispersed phase occurs is crucial in determining emulsion stability. The drainage of a thin film of the outer liquid that forms between the two drops is often the rate limiting step in this process. In this thesis, numerical simulations are used to decode the role played by fluid inertia in causing drop rebound, and the subsequent increase in drainage times, when two drops immersed in a second liquid are brought together due to a compressional flow imposed on the outer liquid. Additionally, the influence of the presence of insoluble surfactants at the drop interface is studied. It is shown that insoluble surfactants cause a dramatic increase in drainage times by two means, by causing drop rebound for small surfactant concentrations, and by partially immobilizing the interface for large surfactant concentrations.</div></div>
163

Estratégias "upwind" e modelagem k-epsilon para simulação numérica de escoamentos com superfícies livres em altos números de Reynolds / Upwind strategies and k-epsilon modeling for numerical simulation of free surface flow at high Reynolds numbers

Brandi, Analice Costacurta 13 June 2005 (has links)
Este trabalho é dedicado à análise e implementação de esquemas "upwind" de alta ordem modernos e o modelo de turbulência k-epsilon padrão no Freeflow-2D; um ambiente integrado para simulação numérica em diferenças finitas de problemas de escoamentos incompressíveis com superfícies livres. O propósito do estudo é a simulação de escoamentos de fluidos newtonianos incompressíveis, bidimensionais, confinados e/ou com superfícies livres e a altos valores do número de Reynolds. O desempenho do código Freeflow-2D atual é avaliada na simulação do escoamento numa expansão brusca e de um jato livre incidindo perpendicularmente sobre uma superfície rígida impermeável. O código é então aplicado na simulação de um jato planar turbulento em uma porção de fluido com superfície livre e estacionário. Os resultados numéricos obtidos são comparados com dados experimentais, soluções analíticas e soluções numéricas de outros trabalhos. / This work is devoted to the analysis and implementation of modern high-order upwind schemes and the standard k-epsilon turbulence model into the Freeflow-2D; a finite difference integrated environment for the numerical simulation of incompressible free surface flow problems. The purpose of this study is the two-dimensional simulation of high-Reynolds incompressible newtonian confined and/or free surface flows. The performance of the current Freeflow-2D code is assessed by applying it to the simulation of flow over a backward facing step and of an impinging free jet onto an impermeable rigid surface. The code is then applied to a turbulent planar jet into a pool. The numerical results are compared with experimental data, analytical solution, and numerical simulations of other works.
164

Desenvolvimento de estratégias de captura de descontinuidades para leis de conservação e problemas relacionados em dinâmica de fluídos / Development of strategies to capture discontinuities for conservation laws and related problems in fluid dynamics

Lima, Giseli Aparecida Braz de 23 March 2010 (has links)
Esta dissertação trata da solução numérica de problemas em dinâmica dos fluidos usando dois novos esquemas upwind de alta resolução, denominados FDPUS-C1 (Five-Degree Polynomial Upwind Scheme of \' C POT. 1\' Class) e SDPUS-C1 (Six-Degree Polynomial Upwind Scheme of \'C POT.1\' Class), para a discretização de termos convectivos lineares e não-lineares. Os esquemas são baseados nos critérios de estabilidade TVD (Total Variation Diminishing) e CBC (Convection Boundedness Criterion) e são implementados, nos contextos das metodologias de diferenças finitas e volumes finitos, no ambiente de simulação Freeflow (an integrated simulation system for Free surface Flow) para escoamentos imcompressíveis 2D, 2D-1/2 e 3D, ou no código bem conhecido CLAWPACK ( Conservation LAW PACKage) para problemaw compressíveis 1D e 2D. Vários testes computacionais são feitos com o objetivo de verificar e validar os métodos numéricos contra esquemas upwind populares. Os novos esqumas são então aplicados na resolução de uma gama ampla de problemas em CFD (Computational Fluids Dynamics), tais como propagação de ondas de choque e escoamentos incompressíveis envolvendo superfícies livres móveis. Em particular, os resultados numéricos para leis de conservação hiperbólicas 2D e equações de Navier-Stokes incompressíveis 2D, 2D-1/2 e 3D demosntram que esses novos esquemas convectivos tipo upwind polinomiais funcionam muito bem / This dissertation deals with the numerical solution of fluid dynamics problems using two new high resolution upwind schemes,. namely FDPUS-C1 and SDPUS-C1, for the discretization of the linear and non-linear convection terms. The Schemes are based on TVD and DBC stability criteria and are implemented in the context of the finite difference and finite volume methodologies, either into the Freeflow code for 2D, 2D-1/2 and 3D incompressible flows or in the well-known CLAWPACK code for 1D and 2D compressible flows. Several computational tests are performed to verify and validate the numerical methods against other popularly used upwind schemes. The new schemes are then applied to solve a wide range of problems in CFD, such as shock wave propagation and incompressible fluid flows involving moving free msurfaces. In particular, the numerical results for 2D hyperbolic conservation laws and 2D, 2D-1/2 and 3D incompressible Navier-Stokes eqautions show that new polynomial upwind convection schemes perform very well
165

Análise e implementação de modelos não newtonianos no sistema FreeFlow-2D / Analysis and implementation of non-Newtonian models in FreeFlow-2D system.

Siquieri, Ricardo da Silva 26 April 2002 (has links)
O presente trabalho consiste em uma extensão do sistema FreeFlow-2D para simular escoamentos de fluidos não newtonianos bidimensionais com superfí cies livres, onde o fluido é descrito pelos modelos de Cross ou o modelo ``power-law\'\'. O método numérico empregado é o método GENSMAC. As equações governantes são aproximadas pelo método de diferenças finitas em uma malha deslocada e partículas marcadoras são utilizadas para a visualização do escoamento e localização da superfície livre. Resultados numéricos são apresentados. Em particular, a presente implementação é validada comparando-se a solução numérica com uma solução analítica / This work presents an extention of the Freeflow-2D system to non-Newtonian free surface flows. The governing equations are solved by the finite difference method on a staggered grid. Marker particles are used to describe the fluid providing the location and the visualization of the free surface. The methodology employed is based on the GENSMAC method. The fluid is modelled by the Cross and power-law models. Numerical examples are presented. The code is validated by making a comparison between analytical and numerical solutions
166

Μελέτη χρονομεταβαλλόμενων και ασταθών υπό συνθήκες ροών ιξωδοπλαστικών και ιξωδοελαστικών ρευστών / A study on time-dependent and conditionally unstable flows of viscoplastic and viscoelastic fluids

Καραπέτσας, Γεώργιος 01 February 2008 (has links)
Στόχος της παρούσας διδακτορικής διατριβής είναι η μελέτη χρονικά μεταβαλλόμενων και ασταθών υπό συνθήκες ροών ιξωδοπλαστικών και ιξωδο-ελαστικών ρευστών λόγω της σημασίας που παρουσιάζουν τα υλικά αυτά σε διάφορες βιομηχανικές διεργασίες. Στα πλαίσια της εργασίας αυτής μελετήθηκε αρχικά το πρόβλημα της συμπίεσης ιξωδοπλαστικού ρευστού μεταξύ δύο δίσκων το οποίο είναι ένα βασικό πείραμα ρεολογικού χαρακτηρισμού μη Νευτωνικών υλικών. Η χρονικά μεταβαλλόμενη προσομοίωση επέτρεψε τον προσδιορισμό των σημαντικών διαφορών μεταξύ των δύο εκδοχών του συγκεκριμένου ρεολογικού πειράματος (δίσκοι κινούμενοι υπό σταθερή ταχύτητα ή υπό σταθερή δύναμη) που ήταν αδύνατος με τα προηγούμενα μοντέλα, ενώ παρουσιάζεται και πλήρης παραμετρική μελέτη της διεργασίας αυτής. Το υπόλοιπο μέρος της παρούσας εργασίας αφιερώθηκε στη μελέτη της διεργασίας εκβολής ιξωδοελαστικών υλικών η οποία συναντάται ευρέως στη βιομηχανία μορφοποίησης πολυμερών. Παρουσιάζεται μια πλήρης παραμετρική ανάλυση για την εκβολή ενός ιξωδοελαστικού ρευστού Phan-Tien & Tanner (PTT) από ένα δακτυλιοειδή αγωγό προκειμένου να εξετάσουμε την επίδραση της γεωμετρίας του αγωγού, και των ρεολογικών ιδιοτήτων του ρευστού. Επιπλέον ένα σημαντικό πρόβλημα που εμφανίζεται κατά την εκβολή από ένα κυλινδρικό, επίπεδο ή δακτυλιοειδή αγωγό είναι η εμφάνιση ασταθειών οι οποίες επηρεάζουν σημαντικά την ποιότητα του τελικού προϊόντος. Προκειμένου να διερευνηθεί ο μηχανισμός που προκαλεί την εμφάνιση αυτών των ασταθειών πραγματοποιήθηκε γραμμική ανάλυση ευστάθειας για τη αξονοσυμμετρική και καρτεσιανή δισδιάστατη ροή επικόλλησης-ολίσθησης (stick-slip flow) ενός ρευστού PTT. Γύρω από τη λύση μόνιμης κατάστασης πραγματοποιείται γραμμική ανάλυση ευστάθειας, και υπολογίζονται οι ιδιοτιμές του γενικευμένου προβλήματος με τη βοήθεια της μεθόδου Arnoldi. Έτσι προσδιορίζεται η επίδραση των ιδιοτήτων του υλικού στην ευστάθεια ή μη της ροής. / The purpose of this dissertation is to perform a study on time-dependent and conditionally unstable flows of viscoplastic and viscoelastic fluids because of their importance in various industrial processes. A typical experiment which is used widely for the rheological characterization of non-Newtonian fluids is squeeze flow which is the subject of the first chapter of this dissertation. The time-dependent simulation permitted the determination of the distinct differences between the two versions of this rheological experiment (disks moving with constant velocity or under constant force) which was impossible with the models used up to now, while a complete parametric analysis of this process is presented. The rest of this work focuses in the important problem of the extrusion process of a viscoelastic fluid, which is frequently encountered in the polymer industry. A complete parametric analysis is presented for the extrusion of a Phan-Thien Tanner (PTT) fluid from an annular die in order to examine the effect of the die geometry and the rheological properties of the fluid on this process. Moreover, it is widely known that during the extrusion from a cylindrical, planar or an annular die various flow instabilities may arise affecting significantly the quality of the final product. In order to investigate the mechanism, which causes the appearance of these instabilities, a linear stability analysis is performed for the cylindrical or planar stick-slip flow of a PTT fluid. The stability analysis is performed around the steady state solution and the eigenvalues of the generalized problem are calculated using the Arnoldi algorithm. With this method the effect of the various rheological properties of the fluid on the stability of the flow is determined.
167

Extensão de GENSMAC para escoamentos de fluidos governados pelos modelos integrais Maxwell e K-BKZ / Extension of GENSMAC to incompressible flows governed by the Maxwell and K-BKZ integral models

Manoel Silvino Batalha de Araújo 22 May 2006 (has links)
Este trabalho tem como objetivo desenvolver um método numérico para simular escoamentos incompressíveis, isotérmicos, confinados ou com superfícies livres, de fuidos viscoelásticos governados pelos modelos integrais de Maxwell e K-BKZ (Kaye-Bernstein, Kearsley e Zapas). A técnica numérica apresentada é uma extensão do método GENSMAC (Tomé McKee - J. Comp. Phys., (110), pp 171--186, 1994 ) para a solução das equações de conservação, juntamente com as equações constitutivas integrais de Maxwell e K-BKZ. As equações governantes são resolvidas pelo método de diferenças finitas em uma malha deslocada. O tensor de Finger, B_t\'(t) é calculado com base nas idéias do método de campos de deformação (Peters et al. - J. Non-Newtonian Fluid Mech. (89), de maneira que não há a necessidade de seguir a trajetória da partícula de fuido para descrever a história de deformação da partícula. Uma abordagem diferente para a discretização do instante passado é utilizada e o tensor de Finger e o tensor das tensões são calculados utilizando um método de segunda ordem. A validação do método numérico descrito nesse trabalho foi feita utilizando o escoamento em um canal bidimensional e a solução numérica obtida para a velocidade e para as componentes de tensão com o modelo de Maxwell foram comparadas com as respectivas soluções analíticas no estado estacionário, mostrando excelente concordância. Os resultados numéricos para a simulação do escoamento em uma contração planar 4 : 1 mostraram bons resultados, tanto qualitativos quanto quantitativos, quando comparados com os resultados experimentais de Quinzani et al. ( J. Non-Newtonian Fluid Mech. (52), pp 1?36, 1994 ). Além disso, utilizando os modelos Maxwel e K-BKZ, o escoamento em uma contração planar 4 : 1 foi simulado para vários números de Weissenberg e os resultados obtidos estão de acordo com os encontrados na literatura. Resultados numéricos de escoamentos com superfícies livres modelados pelas equações integrais de Maxwell e K-BKZ são apresentados. Em particular, a simulação numérica do jato oscilante para diferentes números de Weissenberg e diferentes números de Reynolds é apresentada. / The aim of this work is to develop a numerical technique for simulating incompressible, isothermal, free surface (also con¯ned) viscoelastic flows of fuids governed by the integral models of Maxwell and K-BKZ (Kaye-Bernstein, Kearsley and Zapas). The numerical technique described herein is an extension of the GENSMAC method (Tome and McKee, J. Comput. Phys., 110, pp. 171-186, 1994) to the solution of the momentuum and mass conservation equations together with the integral constitutive Maxwell and K-BKZ equations. The governing equations are solved by the finite difference method on a staggered grid using a Marker-and-Cell approach. The fluid is represented by marker particles on the fluid surface only. This provides the visualization and location of the fluid free surface so that the free surface stress conditions can be applied. The Finger tensor Bt0(t) is computed using the ideias of the deformation fields method (Peters et al. J. Non-Newtonian Fluid Mech., 89, pp. 209-228, 2001) so that it is not necessary to track a fluid particle in order to calculate its deformation history. However, in this work modifcations to the deformation fields method are introduced: the past time is discretized using a different formula, the Finger tensor Bt0(x; t) is obtained by a second order method and the stress tensor ? (x; t) is computed by a second order quadrature formula. The numerical method presented in this work is validated by simulating the flow of a Maxwell fluid in a two-dimensional channel and the numerical solutions of the velocity and the stress components are compared with the respective analytic solutions providing a good agreement. Further, the flow through a 4:1 planar contraction of a specific fuid studied experimentally by Quinzani et al. (J. Non-Newtonian Fluid Mech., 52, pp. 1-36, 1994) was simulated and the numerical results were compared qualitatively and quantitatively with the experimental results and very good agreement was obtained. The Maxwell and the K-BKZ models were applied to simulate the 4:1 planar contraction problem using various Weissenberg numbers and the numerical results were in agreement with those published in the literature. Finally, numerical results of free surface flows using the Maxwell and K-BKZ integral constitutive equations are presented. In particular, the numerical simulation of jet buckling using several Weissenberg numbers and various Reynolds numbers are presented
168

Desenvolvimento de esquema upwind para equações de conservação e implementação de modelagens URANS com aplicação em escoamentos incompressíveis / Development of a new upwind scheme for conservationlaws and implementation on URANS modelling with application on incompressible flows

Miguel Antonio Caro Candezano 10 December 2012 (has links)
Nesta tese é apresentado um esquema novo de alta resolução upwind (denominado TDPUS-C3) para reconstrução de fluxos numéricos para leis de conservação não lineares e problemas relacionados em DFC. O esquema é baseado nos critérios de estabilidade CBC e TVD e desenvolvido utilizando condições de diferenciabilidade \'C POT. 3\'. Além disso, é realiozada a implementação da associação do esquema TDPLUS-C3 com a modelagem de turbulência RNG \'\\kappa - \\epsilon\'. O propósito é obter soluções numéricas de sistemas hiperbólicos de leis de conservação para dinâmica dos gases e equações de Navier-Stokes para escoamento incompreensível de fluidos newtonianos e não newtonianos (viscoelásticos). Fazendo o uso do esquema TDPUS-C3, a precisão global dos métodos numéricos é verificada acessando o erro em problemas teste (benchmark) 1D e 2D. Um estudo comparativo entre os resultados do esquema TDPUS-C3 e os esquemas upwind convencionais para leis de conservação hiperbólicas complexas é também realizado. A Associação das modelagens numéricas (upwinding mais RNG \'\\kappa - \\epsilon\') é , então, examinada na simulação de escoamentos turbulentos de fluidos newtonianos envolvendo superfícies livres móveis, usando a metodologia URANS. No geral, em termos do comportamento global, concordância satisfatória é observada / In this thesis, a new high-resolution upwind scheme (named TDPUS-C3) for reconstruction of numerical fluxes for nonlinear conservation laws and related CFD problems in presented. The scheme is based on CBC and TVD stability criteria and developed by employing differentiability condictions (\'C POT. 3\'). In additon, the implementation of an association of the TDPUS-C3 scheme with the RNG \'\\kappa - \\epsilon\' turbulence modelling is also performed. The purpose is to obtain numerical solutions of systems of hyperbolic conservation laws for gas dynamics and Navier-Stokes equations for incompressible flow of Newtonian and non-Newtonian (viscoelstic) fluids. By using the TDPUS-C3 scheme, the global accuracy of the numerical methods is verified by assessing the error on 1D and 2D benchmark test cases. A comparative study between the TDPUS-C3 scheme and convectional upwind schemes to solve standard and complex hyperbolic conservation laws is also accomplished. The association of the numerical modelling (upwinding plus RNG \'\\kappa - epsilon\') is then examined in the simulation of turbulent Newtonian fluid flows involving moving free surfaces, by using URANS methodology. Overall, satisfactory agreement is found in terms of the overall behaviour
169

Análise e implementação de modelos não newtonianos no sistema FreeFlow-2D / Analysis and implementation of non-Newtonian models in FreeFlow-2D system.

Ricardo da Silva Siquieri 26 April 2002 (has links)
O presente trabalho consiste em uma extensão do sistema FreeFlow-2D para simular escoamentos de fluidos não newtonianos bidimensionais com superfí cies livres, onde o fluido é descrito pelos modelos de Cross ou o modelo ``power-law\'\'. O método numérico empregado é o método GENSMAC. As equações governantes são aproximadas pelo método de diferenças finitas em uma malha deslocada e partículas marcadoras são utilizadas para a visualização do escoamento e localização da superfície livre. Resultados numéricos são apresentados. Em particular, a presente implementação é validada comparando-se a solução numérica com uma solução analítica / This work presents an extention of the Freeflow-2D system to non-Newtonian free surface flows. The governing equations are solved by the finite difference method on a staggered grid. Marker particles are used to describe the fluid providing the location and the visualization of the free surface. The methodology employed is based on the GENSMAC method. The fluid is modelled by the Cross and power-law models. Numerical examples are presented. The code is validated by making a comparison between analytical and numerical solutions
170

Étude expérimentale et numérique des grilles ichtyocompatibles / Experimental and numerical study of fish-friendly trashracks

Raynal, Sylvain 03 December 2013 (has links)
Un des enjeux de la Directive Cadre sur l'Eau (2000) est de rétablir la migration piscicole aval à travers notamment une baisse de la mortalité des poissons au niveau des turbines des centrales hydroélectriques. Les grilles ichtyocompatibles constituent une des solutions possibles grâce à un arrêt physique des poissons couplé à un guidage vers un exutoire de contournement. Dans ce contexte, nous avons mené une étude expérimentale et numérique afin de caractériser différents types de grilles en termes de pertes de charge et de courantologie. Cela a permis de déterminer d'une part les pertes d'énergie liées à la proximité des barreaux pour diverses configurations et d'autre part les vitesses que les poissons sont susceptibles de rencontrer le long des grilles jusqu'à l'exutoire. Ces deux sujets complémentaires ont été abordés via l'utilisation de deux installations hydrauliques couplées à plusieurs systèmes de mesure adaptés à nos modèles de grille. Des mesures de hauteur d'eau ont permis d'établir des nouvelles lois de pertes de charge tandis que des mesures de vitesse avec des systèmes de vélocimétrie acoustique par effet Doppler (ADV) et de vélocimétrie par images de particules (PIV) ont permis de déterminer les angles pour lesquels les grilles satisfont les critères d'ichtyocompatibilité. Certains points de l'étude, liés à la caractérisation des exutoires notamment, ont été résolus grâce à des simulations numériques avec le logiciel OpenFOAM. L'ensemble des résultats obtenus a permis de dimensionner et de comparer les différentes solutions de grilles dans un cas de prise d'eau réel, soulignant ainsi les avantages et problématiques inhérents à chacune des solutions. / The Water Framework Directive (2000) particularly aimed at restoring the fish downstream migration and at preventing fish from being injured or killed in hydropower plant turbines. Fish-friendly trashracks, which physically stop fish and guide them towards bypasses, are one of the possible solutions.In this context, we have carried out an experimental and numerical study focused on the characterization of head losses and velocity distributions for various kinds of trashrack. This helped to quantify the energy loss due to the narrow bar spacing and to assess the magnitude of velocities that fish may face in different trashrack configurations. Two hydraulic installations coupled with several measurement devices allowed the study of both topics on model trashracks. Water depth measurements resulted in new head loss equations while velocity measurements with acoustic Doppler velocimetry (ADV) and particle image velocimetry (PIV) systems allowed the determination of fish-friendly angles in different trashrack configurations. Some other points of the thesis, concerning for instance bypasses, have been investigated with numerical simulations using OpenFOAM software. All the results allowed the conception and the comparison of various trashrack solutions for a real water intake case, highlighting the advantages and drawbacks relative to each of these solutions.

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