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Direct Numerical Simulation Of Liquid Flow In A Horizontal MicrochannelKukrer, Cenk Evren 01 August 2005 (has links) (PDF)
Numerical simulations of liquid flow in a micro-channel between two horizontal plates are performed. The channel is infinite in streamwise and spanwise directions and its height is taken as m, which falls within the dimension ranges of microchannels. The Navier-Stokes equations with the addition of Brinkman number (Br) to the energy equation are used as the governing equations and spectral methods based approach is applied to obtain the required accuracy to handle liquid flow in the microchannel. It is known for microchannels that Br combines the effects of conduction and viscous dissipation in liquids and is also a way of comparing the importance of latter relative to former. The present study aims to simulate the unusual behavior of decreasing of Nu with increasing Re in the laminar regime of microchannels and to show that Br can be introduced to explain this unexpected behavior. Consequently, it is seen at the end of the results that secondary effect of the Br is observed for the single-phase convective heat transfer. Therefore, a laminar flow of a liquid in a microchannel shows different characteristics compared to a similar flow in a macrochannel. To observe the differences, three different cases are run over each of a range of Reynolds numbers: one with no axial conduction assumption that corresponds to a case similar to macrochannel flow, another case with axial conduction included in the energy equation to simulate one of the main differences and lastly a case with the inclusion of Br number in the governing equations.
A similar study is made for natural convection with the same numerical set-up for the same three cases. Formation of Rayleigh-Benard cells are observed for the critical numbers widely accepted in the literature. The results are compared with each other to see the effects of axial conduction and Br inclusion, in addition to Ra for natural convection.
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Avaliação de condições experimentais de estudos in vitro de permeação / retenção cutânea empregando pele suína para creme comercial e nanoemulsão contendo penciclovirMeira, Alianise da Silva January 2013 (has links)
Estudos in vitro de absorção percutânea são uma importante ferramenta para avaliação de formulações semissólidas e transdérmicas. Embora haja um grande número de agências reguladoras preocupadas com a harmonização metodológica, em muitos parâmetros elas permanecem flexíveis e isto é possível verificar na ampla variedade e divergências encontradas na literatura. O objetivo do trabalho foi avaliar parâmetros ainda flexíveis a respeito dos estudos in vitro como modo de separação das camadas da pele, permeabilidade da pele congelada (tempo de armazenamento) e diferença de permeabilidade dos locais anatômicos. Os estudos foram conduzidos utilizando células de Franz, pele suína como membrana e formulações (comercializada e inovadora) contendo penciclovir. Inicialmente, nanoemulsões foram preparadas utilizando técnica de homogeneização a alta pressão, caracterizadas, incorporadas em gel de carbômero 940 e avaliadas quanto à liberação tópica em pele suína. Simultaneamente ao desenvolvimento da formulação foi desenvolvido e validado método analítico para quantificação do fármaco nas formulações e nas camadas da pele suína. As nanoemulsões apresentaram-se monodispersas com diâmetro de gotícula em torno de 180-200 nm, potencial zeta de -27 mV e teor de penciclovir de 98% mantendo sua estrutura após a incorporação em carbômero 940. A metodologia analítica demonstrou ter alta sensibilidade (LoQ 0,05 μg/mL), especificidade e uma adequada recuperação do fármaco a partir das matrizes biológicas (90 – 104%). Quanto aos estudos in vitro de comparação de metodologias, foi possível observar que, dependendo da solubilidade do fármaco em água e das características da formulação, o método clássico de separação das camadas da pele por imersão em água não é o mais indicado. Já para permeabilidade da pele suína congelada, os resultados obtidos indicam um aumento significativo na penetrabilidade e permeabilidade após um mês de congelamento. Dentre os locais anatômicos testados, não houve diferença entre abdômen e orelha suína desde que obtidos antes do procedimento de escaldo. / In vitro percutaneous absorption studies are an important tool for evaluation of semisolid and transdermal formulations. Although there are a large number of official guides concerned with methodological harmonization in many parameters they remain flexible and it is possible to see the wide variety and differences reported in the literature. The aim of study was to evaluate some parameters regarding the in vitro studies as the mode of skin layers separation, skin frozen stability and permeability difference of anatomical sites. These studies were conducted with porcine skin and formulations (conventional and novel) using penciclovir as model drug. Initially, nanoemulsions were prepared using high pressure homogenization, characterized and incorporated into carbomer 940 gel and evaluated for topical delivery using porcine skin. Simultaneously with the development of the formulation, analytical method for quantification of the drug in the formulations and porcine skin layers was developed and validated. The nanoemulsions presented themselves monodisperse with droplet diameter of 180-200 nm, zeta potential of about -27 mV and penciclovir content of 98% maintaining their structure after incorporation into carbomer 940. The analytical methodology was shown to have high sensitivity (LOQ 0.05 μg/mL), specificity and adequate recovery of drug from the biological matrices (90-104%). Regarding the in vitro comparison methodologies, it was observed that, depending on the solubility of the drug in water and the characteristics of the formulation, the classical separation is not the most suitable for separation of the skin layers. For the stability of frozen porcine skin, the results indicate a significant increase in permeability and penetrability after one month of freezing. Within the anatomical sites tested, there was no difference between the abdomen and ear porcine skin since obtained before the scald procedure.
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Optimisation topologique des transferts thermiques et massiques dans un canal asymétriquement chauffé / Topology optimization of heat and mass transfer in an asymmetrically-heated vertical channelBarbary, Delphine 13 December 2017 (has links)
Les présents travaux de thèse envisagent une nouvelle technique d'optimisation au sens topologique dans des géométries de type canal vertical où se réalisent des transferts de chaleur conducto-convectifs en régime laminaire. Les équations qui décrivent l'écoulement du fluide et le transfert d'énergie sont discrétisées par la méthode des volumes finis. La première partie du mémoire présente une nouvelle technique d'optimisation et sa validation sur des cas d'études de la littérature (single pipe, bend pipe). Cette technique consiste à définir des fonctions d'interpolation de type sigmoïde et permet d'obtenir une amélioration de l'interface fluide-solide au cours du processus d'optimisation. La seconde partie met en évidence les phénomènes physiques dans le canal asymétriquement chauffé, notamment l'influence de la stratification thermique extérieure et du rayonnement de surface sur les quantités aérauliques et thermiques. Enfin, une nouvelle expression de la puissance mécanique pour contrôler les pertes de charge (malgré l'ajout de matière) dans le canal vertical combinée avec une nouvelle expression de la puissance thermique sont étudiées. Le problème ainsi posé est résolu pour un écoulement en convection naturelle. Pour les cas considérés, chacune des fonctions coût est optimisée sans détériorer l'autre. Nous comparons aussi les valeurs des puissances obtenues par notre algorithme avec celles couramment utilisées dans la littérature et montrons que ces nouvelles fonctionnelles sont performantes. / This thesis deals with topology optimization of mass and heat transfer in the framework of the vertical asymetrically-heated channel. The incompressible Navier-Stokes equations coupled to the convection-diffusion equation through the Boussinesq approximation are employed and are solved with the finite volume method. We first propose a new interpolation technique for heat transfer optimization and validate it on referenced cases such as the "single pipe" and the "bend pipe". This new technique consists in the introduction of sigmoid interpolation functions to obain a better definition of the interface between fluid and solid domains, during the optimization process. We study then physical phenomenon in the asymmetrically heated channel , in particular the influence of thermal stratification outside the channel and surface radiation on thermal and dynamic quantities. We thus highlight the size variation of reversed flow at the exit of the channel and the plug-effect linked on external thermal stratification. Finally, we propose a new expression of mechanical power in order to control charges losses (despite addition of material) in the vertical channel combined with the expression of thermal power. In all considered cases, our algorithm succeeds to enhance one of the phenomenon modelled by our new cost functions without deteriorating the other one. We also compare the values of standard cost functions from the litterature over iteration of our optimization algorithm and show that our new cost functions are effective.
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Avaliação de condições experimentais de estudos in vitro de permeação / retenção cutânea empregando pele suína para creme comercial e nanoemulsão contendo penciclovirMeira, Alianise da Silva January 2013 (has links)
Estudos in vitro de absorção percutânea são uma importante ferramenta para avaliação de formulações semissólidas e transdérmicas. Embora haja um grande número de agências reguladoras preocupadas com a harmonização metodológica, em muitos parâmetros elas permanecem flexíveis e isto é possível verificar na ampla variedade e divergências encontradas na literatura. O objetivo do trabalho foi avaliar parâmetros ainda flexíveis a respeito dos estudos in vitro como modo de separação das camadas da pele, permeabilidade da pele congelada (tempo de armazenamento) e diferença de permeabilidade dos locais anatômicos. Os estudos foram conduzidos utilizando células de Franz, pele suína como membrana e formulações (comercializada e inovadora) contendo penciclovir. Inicialmente, nanoemulsões foram preparadas utilizando técnica de homogeneização a alta pressão, caracterizadas, incorporadas em gel de carbômero 940 e avaliadas quanto à liberação tópica em pele suína. Simultaneamente ao desenvolvimento da formulação foi desenvolvido e validado método analítico para quantificação do fármaco nas formulações e nas camadas da pele suína. As nanoemulsões apresentaram-se monodispersas com diâmetro de gotícula em torno de 180-200 nm, potencial zeta de -27 mV e teor de penciclovir de 98% mantendo sua estrutura após a incorporação em carbômero 940. A metodologia analítica demonstrou ter alta sensibilidade (LoQ 0,05 μg/mL), especificidade e uma adequada recuperação do fármaco a partir das matrizes biológicas (90 – 104%). Quanto aos estudos in vitro de comparação de metodologias, foi possível observar que, dependendo da solubilidade do fármaco em água e das características da formulação, o método clássico de separação das camadas da pele por imersão em água não é o mais indicado. Já para permeabilidade da pele suína congelada, os resultados obtidos indicam um aumento significativo na penetrabilidade e permeabilidade após um mês de congelamento. Dentre os locais anatômicos testados, não houve diferença entre abdômen e orelha suína desde que obtidos antes do procedimento de escaldo. / In vitro percutaneous absorption studies are an important tool for evaluation of semisolid and transdermal formulations. Although there are a large number of official guides concerned with methodological harmonization in many parameters they remain flexible and it is possible to see the wide variety and differences reported in the literature. The aim of study was to evaluate some parameters regarding the in vitro studies as the mode of skin layers separation, skin frozen stability and permeability difference of anatomical sites. These studies were conducted with porcine skin and formulations (conventional and novel) using penciclovir as model drug. Initially, nanoemulsions were prepared using high pressure homogenization, characterized and incorporated into carbomer 940 gel and evaluated for topical delivery using porcine skin. Simultaneously with the development of the formulation, analytical method for quantification of the drug in the formulations and porcine skin layers was developed and validated. The nanoemulsions presented themselves monodisperse with droplet diameter of 180-200 nm, zeta potential of about -27 mV and penciclovir content of 98% maintaining their structure after incorporation into carbomer 940. The analytical methodology was shown to have high sensitivity (LOQ 0.05 μg/mL), specificity and adequate recovery of drug from the biological matrices (90-104%). Regarding the in vitro comparison methodologies, it was observed that, depending on the solubility of the drug in water and the characteristics of the formulation, the classical separation is not the most suitable for separation of the skin layers. For the stability of frozen porcine skin, the results indicate a significant increase in permeability and penetrability after one month of freezing. Within the anatomical sites tested, there was no difference between the abdomen and ear porcine skin since obtained before the scald procedure.
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Etude de la convection naturelle turbulente en cavité verticale différentiellement chauffée : Analyse des structures et des transferts turbulents / Study of the Turbulent Natural Convection in a Differential Heated Cavity : Analysis of the Turbulent structures and TransfersBelleoud, Pierre 05 July 2016 (has links)
Les écoulements de convection naturelle en espace confiné sont généralement turbulents (grandes dimensions et/ou écarts de température importants). L'approfondissement de la connaissance de ce régime et des transferts qui y sont associés semble donc essentielle. Cette étude expérimentale concerne les mécanismes de transferts thermiques turbulents en s'appuyant sur des mesures couplées vitesse/température dans un écoulement de convection naturelle turbulente à haut nombre de Rayleigh (Ra1-1= 1,2x1011) au sein d'une cavité différentiellement chauffée de rapport de forme vertical (hauteur/largeur) égale à 4. Une chaîne de mesure PIV permet les acquisitions de vitesse tandis que la température est mesurée par micro-thermocouple de type K (0=12,7 μm). Les deux mesures étant synchronisées via un générateur de pulses type BNC®. Une attention particulière a été portée à la détermination des conditions aux limites en température des parois adiabatiques et au post traitement des données de PIV à l'aide d'une décomposition orthogonale basée sur l'énergie cinétique des champs de vitesse (POD). Cela a rendu possible, d'une part le calcul expérimental de quantités liées à la turbulence comme les flux d'enthalpie et des nombres adimensionnés pour la turbulence (Prandtl, diffusivité ... ) et, d 'autre part, l'évaluation de la contribution des autres termes des équations de Navier-Stokes (gradient de pression et terme source volumique). Enfin, une discussion sur les échelles caractéristiques de l'écoulement est menée et une comparaison avec des résultats de simulations numériques est apportée. / Natural convection flows in confined spaces are often turbulent (large dimensions and/or temperature difference ). Improving the knowledge of this type of regime and of the associated heat and mass transfers seems, therefore, to be essential. This experirnental work studies heat transfer mechanisms using coupled and synchronized measurernents of temperature and velocity in a turbulent natural convection flow at high Rayleigh number (Ra1-1=I.2 x1011) in a differentially heated cavity with a vertical aspect ratio (height/width) of 4. Velocity measurernents are acquired by PIV and temperature is measured with K-type micro-thermocouple (0=12.7 μm). Both measurementsystems are synchronized using a BNC® pulse generator. Thermal boundary conditions of the adiabatic walls and post treatment of PIV data using an orthogonal decomposition based on the kinetic energy of the flow - POD - have been considered with caution. It makes possible, on the one hand, the experimental assessment of turbulent quantities like enthalpy fluxes and dimensionless nurnber (Prandtl, diffusivity ... ) and, on the other hand the estimation of the contribution of the other terms of Navier-Stokes equations (pressure gradient and source term). Finally a discussion on characteristic scales of the flow and a comparison with numerical simulations are provided.
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Fluorescence induite par laser multibande appliquée à la mesure de température dans les milieux complexes / Multiband Laser-induced Fluorescence applied to temperature measurement in complex mediaDelconte, Alain 20 October 2009 (has links)
La fluorescence induite par laser multibande est une technique non intrusive permettant d’accéder à la température de la phase liquide dans des milieux complexes. L’application de cette technique dans des liquides monophasiques où le chemin optique est variable (produit de la concentration moléculaire du traceur et de la distance dans le milieu liquide entre le volume de mesure et l’optique de détection) a été considérée. Le rapport des intensités de fluorescence collectées sur deux bandes spectrales permet de s’affranchir de la concentration en traceur fluorescent, de l’intensité laser incidente et du volume de mesure. Une troisième bande spectrale de détection permet de prendre en compte le terme de ré-absorption de la fluorescence dans le cas de chemins optiques non-négligeables et variables. Puis l’application de la technique à la mesure de la température de la phase liquide d’un spray est présentée. Un traitement spécifique du signal a été développé afin de tenir compte de la nature aléatoire du signal de fluorescence liée à la présence de gouttes dans le volume de mesure. De plus, ce traitement a été adapté afin de rendre possible le couplage des données de fluorescence avec des mesures granulométriques effectuées par la technique phase Doppler dans la perspective finale d’obtenir des températures de goutte par classe de taille. Cependant plusieurs phénomènes perturbateurs ont été mis en évidence : - une dépendance inattendue et non linéaire à la taille de goutte du rapport des intensités de fluorescence collectées sur deux bandes spectrales. - une forte diffusion de la lumière laser incidente par le nuage de gouttelettes induit une fluorescence bien au delà de la zone d’excitation laser. Cette fluorescence parasite est néanmoins détectée dans la profondeur de champ du dispositif optique et se conjugue avec l’effet non-linéaire de la taille des gouttes. Une stratégie de correction de ces différents phénomènes est proposée et une expérience de validation est réalisée sur un spray chauffé injecté dans une cellule saturée en vapeur / Multiband laser-induced fluorescence is a non-intrusive technique able to provide a measurement of the liquid phase of complex media. The application of this technique in single phase liquids, with a variable optical path (product of the fluorescent tracer molecular concentration by the distance between the probe volume and the collection optics in the liquid) was considered. The ratio of the fluorescence intensities collected on two spectral bands allows removing the influence of the fluorescence tracer concentration, incident laser intensity and probe volume. A third spectral band of detection is used to take into account the re-absorption of the fluorescence in the case of non negligible and variable optical paths. Then, the application of this technique to the measurement of the temperature of the liquid phase of a spray is presented. A specific data processing was developed in order to take into account the random presence of droplets in the probe volume. Moreover, the processing was adapted to achieve combined fluorescence and droplet size measurements using the phase Doppler technique. The overall foreseen goal is to measure temperature per droplet size class. However, several disturbing phenomena were highlighted: - an unexpected non-linear dependence on the droplet size of the ratio of the fluorescence intensities collected on two spectral bands, - a strong incident laser light scattering by the droplets cloud, which induces a fluorescence beyond the excitation zone. This fluorescence is also collected in the depth of field of the optical device and combines with the non-linear size dependence. A correction strategy of these phenomena was implemented and a validation experiment on a heated spray injected in a vapour-saturated cell was performed
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Impact du traitement thermique sur les perceptions sensorielles et les préférences des consommateurs pour les fromages à pâte persillée : cas de la fourme d'Ambert / Impact of heating treatment on sensory perceptions and consumers' preferences for PDO Blue veined cheeses : a case study on Fourme d'AmbertBord, Cécile 17 April 2015 (has links)
Les fromages d’«Appellation d’Origine Protégée» (AOP) présentant un cahier des charges précis sont garants d’un savoir-faire, d’une tradition et d’un lien avec le terroir et sont également reconnus pour leurs qualités organoleptiques. Malgré une bonne implantation au niveau du marché et une consommation non négligeable, certains fromages AOP voient leurs ventes baisser. Pour dynamiser certains de ces fromages, notamment les fromages à pâte persillée, leur utilisation comme « fromages ingrédients » s’avérerait pertinente. Ce nouveau segment, très porteur pour les fromagesindustriels, consiste à les utiliser dans des préparations culinaires aussi bien à chaud qu’à froid. L’objectif des travaux de cette thèse est de réaliser d’une part un focus sur les propriétés sensorielles des fromages à pâte persillée AOP du Massif central, induites par le chauffage et plus particulièrement de la Fourme d’Ambert, en étudiant les fractions solubles de ces fromages, d’un point de vue biochimique et sensoriel, et d’autre part de connaître les préférences des consommateurs vis-à-vis des fromages à chaud. Dans un premier temps, un screening sur le comportement à chaud de différentes catégories de fromages à pâte persillée a conduit à identifier des différences texturales et gustatives et de ce fait, à catégoriser les fromages selon leurs aptitudes culinaires. Ce positionnement sensoriel a ainsi permis de sélectionner un « fromage modèle » : la Fourme d’Ambert. Dans une seconde phase, l’étude des fractions solubles a confirmé sa contribution relative dans la perception gustative des fromages à pâte persillée. Toutefois, aucune différence sensorielle n’est observée sur les fractions suite au traitement thermique malgré quelques différences sur la teneur de certains composés sapides. Enfin, la dernière phase a consisté à identifier les préférences des consommateurs vis-à-vis de la Fourme d’Ambert à froid et à chaud. Quelle que soit la température, le fromage est bien apprécié par les consommateurs. La segmentation des consommateurs révèle des perceptions différentes selon trois groupes : un groupe avec des préférences pour des fromages très typés, à l’inverse, un groupe ayant une attirance pour les fromages ayant des flaveurs moins prononcées et un dernier, axé sur les préférences des fromages à chaud. Corrélées aux profils sensoriels, aux commentaires libres des consommateurs et à leurs attentes, certaines variables sensorielles ou comportementales ont pu expliquer ces différences de préférences. Ces résultats montrent l’intérêt de l’usage de certains fromages à pâte persillée AOP en tant que « fromages ingrédients » présentant de bonnes aptitudes culinaires, par leurs propriétés fonctionnelles et gustatives. L’acceptation des fromages à chaud par les consommateurs renforce le fait que les fromages AOP peuvent être utilisés aussi bien à froid qu’à chaud, permettant ainsi l’innovation dans la filière. / PDO cheeses through their specifications are recognized for a quality in relation to a geographical origin, technical know-how, and a typical gustative quality. Despite a good consumption of PDO cheeses, the marketed volumes decreased for most of them. In order to make them more attractive, some cheeses as Blue cheeses could be used as “cheeses ingredient”. Cheeses are usually consumed at the end of a meal but a new trend is emerging: cheeses are more and more used in culinary preparations, both hot (pizza, gratin, sauce) and cold (sandwiches, salads). The main objective of this study was to firstly highlight the impact of heating on sensory properties of French PDO Blue cheeses and more particularly Fourme d’Ambert. The water-soluble fraction which plays an important role in the favour of cheeses was secondly studied in order to evaluate the impact of heating on this extract. The last objective consisted in measuring the consumers liking towards cold and heated cheeses. Therefore, sensory and biochemical methods were performed to describe crude cheeses and liking. The first study highlighted the impact of heating on both textural properties and flavour of four PDO blue-type cheeses. The main results showed that PDO cheeses present different culinary properties and thus are compatible with a use into hot preparations. The first step allowed to select a model cheese: Fourme d’Ambert. The second step consisted in studying the impact of heating on the crude cheeses and on the water-soluble fraction. In parallel, the gross composition was performed on soluble fractions and cheeses according to heating treatment. Although no treatment difference was observed on the water-soluble fraction gustatory profile, a slight difference was showed on certain chemical constituents between the water-soluble extracts. The last step was focused on the consumers liking towards cold and heated cheeses. The results showed that cheeses were much appreciated whatever heating treatments highlighting a slightly preference towards heated cheeses. Moreover, 3 groups of consumers were formed based on different preferences. One group preferred heated cheeses while two others groups preferred cold cheeses. Consumers’ group preferences were explained by means of sensory profiles and open-ended questions responses.Finally, this study shows the opportunities of new culinary uses for Blue cheeses. Sensory methods application had allowed to provide detailed information on heating properties of blue cheeses. In addition, consumers’ acceptance reinforce that PDO cheeses can be used in cold or heated preparations.
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Vliv teploty vzduchu na FDM 3D tisk / Effect of air temperature on FDM 3D printingHrdlička, Martin January 2017 (has links)
The thesis deals with 3D printing by the FDM and ambient temperature on print quality. The thesis describes the principle of printing by the FDM method and the occurrence of errors caused by the influence of ambient temperature. The aim of the thesis is to design a heated chamber for RepRap Prusa i3 printer, its construction and subsequent testing of ambient temperature influence on print quality. To test the occurrence of the described errors, specific tests and materials are selected in the work. The result of this work is the recommended ambient temperature in the heated chamber for improved FDM printing.
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Optimalizace faktorů ovlivňujících spolehlivost pájení moderních elektronických pouzder / Optimization of Factors that Affects the Reliability of Soldering of Modern Electronic PackagesOtáhal, Alexandr January 2020 (has links)
The work deals with research and development of a new method for ball-attach process, resp. reballing process of solder bumps on package with solder ball terminals (BGA, CSP, SOP, etc.), based on research and optimization of the parameters of the final terminals. The output is specially modified templates designed for placement of solder balls before reflow soldering. Three materially different templates were investigated in the work, in addition to the commonly used stainless steel, two other newly designed templates, which used ceramic materials (96% Al2O3a AlN) with thick-layer resistance heating. Proven advantages of the method using templates directly heated by electric current are the reduction of the thermal load of BGA packages in the first soldering process, as well as the creation of a better connection between the metallization of the case and the solder ball after final soldering to the printed circuit board. During the research, development and optimization of the method, tests of the created solder bumps were performed from the point of view of mechanical strength and internal structure. In the next part of the work, a research of solder bumps soldered using infrared heaters was performed in order to determine the influence of the heat flow direction in the process of reflow soldering. The heaters were successively placed in three positions, i.e. heating from the bottom of the housing, heating from the top and both heaters simultaneously. After sample preparation, metallographic cuttings and etching, the analysis of the internal structure of the entire solder ball and the intermetallic layer at the interface of the solder and the solder pad was performed. The work represents not only a new method of soldering solder bumps, but also new knowledge to create their internal structure, which contributes to meeting the increasingly demanding requirements to achieve the required reliability and quality.
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Numerické modelování nestabilit při obtékání zahřívaných těles / Numerical modelling of unstable fluid flow past heated bodiesPech, Jan January 2016 (has links)
Title: Numerical modeling of unstable fluid flow past heated bodies Author: Jan Pech Department: Mathematical Institute of Charles University Supervisor: prof. Ing. František Maršík, DrSc., Mathematical Institute of Charles University Abstract: Presented work brings new results to numerical computations of flow influenced by temperature changes. Constructed numerical algorithm takes into account variable coefficients of the differential operators in the system of in- compressible Navier-Stokes equations coupled with thermal heat equation. The spatial discretisation of the problem targets to application of high order method, the spectral element method. Phenomenons connected with high order approxi- mations are discussed on a number of examples and comparisons with methods of lower order, which are more common. Results were achieved for two fluids with opposite response to heating, air and water. The observed quantity is par- ticularly a frequency of vortex shedding, the Strouhal number, as dependent on temperature and Reynolds number. The calculated values were compared with experimental results and exhibit a good coincidence. Numerical analysis of sep- aration angle in flow around heated circular cylinder may give a new impulse to verification of accuracy and reliability of the developed method. Keywords:...
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