980 resultados para Equação de Euler
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The hydrocycloning operation has a goal to separate solid-liquid suspensions and liquid-liquid emulsions through the centrifugal force action. Hydrocyclones are equipment with reduced size and used in both clarification and thickening. This device is used in many areas, like petrochemical and minerals process, and accumulate advantages like versatility and low cost of maintenance. However, the demand to improve the process and to reduce the costs has motivated several studies of equipment optimization. The filtering hydrocyclone is a non-conventional equipment developed at FEQUI/UFU with objective to improve the hydrocycloning separation efficiency. The purpose of this study is to evaluate the operating conditions of feed concentration and underflow diameter on the performance of a filtering geometry optimized to minimization of energy costs. The filtration effect was investigated through the comparison between the performance of the Optimized Filtering Hydrocyclone (HCOF) and the Optimized Concentrator Hydrocyclone (HCO). Because of the resemblance of hydrocyclones performance, the filtration did not represent significant effect on the performance of the HCOF. It was found that in this geometry the decrease of the variable underflow diameter was very favorable to thickening operation. The suspension concentration of quartzite at 1.0% of solids in volume was increased about 42 times when the 3 mm underflow diameter was used. The increase on the feed solid percentage was good for decreasing the energy spent, so that a minimum number of Euler of 730 was achieved at CVA = 10.0%v. However, a greater amount of solids in suspension leads to a lower efficiency of the equipment. Therefore, to minimize the underflow-to-throughput ratio and keep a high efficiency level, it is indicated to work with dilute suspension (CVA = 1.0%) and 3 mm underflow diameter (η = 67%). But if it is necessary to work with high feed concentration, the use of 5 mm underflow diameter provides a rise in the efficiency. The HCO hydrocyclone was compared to the traditional family of hydrocyclones Rietema and presented advantages like higher efficiency (34% higher in average) and lower energy costs (20% lower in average). Finally, the efficiency curves and project equation have been raised for the HCO hydrocyclone each with satisfactory adjust.
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The book also covers the Second Variation, Euler-Lagrange PDE systems, and higher-order conservation laws.
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An Euler-Lagrange particle tracking model, developed for simulating fire atmosphere/sprinkler spray interactions, is described. Full details of the model along with the approximations made and restrictions applying are presented. Errors commonly found in previous formulations of the source terms used in this two-phase approach are described and corrected. In order to demonstrate the capabilities of the model it is applied to the simulation of a fire in a long corridor containing a sprinkler. The simulation presented is three-dimensional and transient and considers mass, momentum and energy transfer between the gaseous atmosphere and injected liquid droplets.
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Rezension von: Peter Euler: Pädagogik und Universalienstreit. Zur Bedeutung von F.I. Niethammers pädagogischer „Streitschrift". Weinheim: Deutscher Studien Verlag 1989. 454 S.
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O fator cobertura e manejo do solo (fator C da Equação Universal de Perda de Solo- EUPS) é um dos mais importantes na redução das perdas de solo por erosão hídrica. Com objetivo de avaliar as razões de perda de solo (RPS) e o fator C, conduziu-se um experimento sob chuva natural em um Cambissolo Húmico alumínico léptico, com declividade média de 0,102 m m-1, em Lages, SC, no período de novembro de 2002 a outubro de 2005, compreendendo seis ciclos culturais. Os parâmetros foram avaliados em cinco estádios, com base na cobertura do solo pelo dossel das plantas. Foram estudados três sistemas de manejo do solo: aração + duas gradagens (PC), escarificação + uma gradagem (CM) e semeadura direta (SD), submetidos a sucessão soja (Glycine max) e trigo (Triticum aestivum L.), além de um tratamento adicional, com aração + duas gradagens sem culturas (SC). As RPS e os fatores C, variaram quanto aos ciclos, estádios das culturas e sistemas de manejo do solo. A SD reduziu as RPS, em 85% e 48% em relação ao PC e CM, respectivamente, durante os cultivos de soja e em 60% e 55% nos cultivos de trigo. Na média dos três anos de estudo, os valores do fator C, foram de 0,073 (PC), 0,016 (CM) e 0,007 (SD) Mg ha Mg-1 ha-1 durante os cultivos de soja e 0,126 (PC), 0,083 (CM) e 0,035 (SD) Mg ha Mg-1 ha-1 durante os cultivos de trigo. Para a sucessão de culturas soja-trigo, os valores do fator C foram de 0,198, 0,099 e 0,042 Mg ha Mg-1 ha-1, para PC, CM e SD, respectivamente.
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Sub-bacias delimitadas para o estado do Rio de Janeiro foram parametrizadas por meio de duas metodologias que indicam vulnerabilidade, a equação universal de perda de solo que estima a perda de solo em toneladas por hectare/ano; e a integração temática de parâmetros morfométricos, topográficos, hidrológicos e de uso/cobertura da terra, que resulta em um índice de vulnerabilidade adimensional. Os parâmetros de cada método e os resultados foram analisados e comparados para verificação do grau de associação entre as metodologias, concluindo-se que os métodos são complementares para indicar vulnerabilidade de sub-bacia.
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This work approaches the forced air cooling of strawberry by numerical simulation. The mathematical model that was used describes the process of heat transfer, based on the Fourier's law, in spherical coordinates and simplified to describe the one-dimensional process. For the resolution of the equation expressed for the mathematical model, an algorithm was developed based on the explicit scheme of the numerical method of the finite differences and implemented in the scientific computation program MATLAB 6.1. The validation of the mathematical model was made by the comparison between theoretical and experimental data, where strawberries had been cooled with forced air. The results showed to be possible the determination of the convective heat transfer coefficient by fitting the numerical and experimental data. The methodology of the numerical simulations was showed like a promising tool in the support of the decision to use or to develop equipment in the area of cooling process with forced air of spherical fruits.
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The physical model was based on the method of Newton-Euler. The model was developed by using the scientific computer program Mathematica®. Several simulations where tried varying the progress speeds (0.69; 1.12; 1.48; 1.82 and 2.12 m s-1); soil profiles (sinoidal, ascending and descending ramp) and height of the profile (0.025 and 0.05 m) to obtain the normal force of soil reaction. After the initial simulations, the mechanism was optimized using the scientific computer program Matlab® having as criterion (function-objective) the minimization of the normal force of reaction of the profile (FN). The project variables were the lengths of the bars (L1y, L2, l3 and L4), height of the operation (L7), the initial length of the spring (Lmo) and the elastic constant of the spring (k t). The lack of robustness of the mechanism in relation to the variable height of the operation was outlined by using a spring with low rigidity and large length. The results demonstrated that the mechanism optimized showed better flotation performance in relation to the initial mechanism.
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A base-cutter represented for a mechanism of four bars, was developed using the Autocad program. The normal force of reaction of the profile in the contact point was determined through the dynamic analysis. The equations of dynamic balance were based on the laws of Newton-Euler. The linkage was subject to an optimization technique that considered the peak value of soil reaction force as the objective function to be minimized while the link lengths and the spring constant varied through a specified range. The Algorithm of Sequential Quadratic Programming-SQP was implemented of the program computational Matlab. Results were very encouraging; the maximum value of the normal reaction force was reduced from 4,250.33 to 237.13 N, making the floating process much less disturbing to the soil and the sugarcane rate. Later, others variables had been incorporated the mechanism optimized and new otimization process was implemented .
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Time Domain Reflectometry (TDR) is a reliable method for in-situ measurements of the humidity and the solution concentration at the same soil volume. Accurate interpretation of electrical conductivity (and soil humidity) measurements may require a specific calibration curve. The primary goal of this work was to establish a calibration procedure for using TDR to estimate potassium nitrate concentrations (KNO3) in soil solution. An equation relating the electrical conductivity measured by TDR and KNO3 concentration was established enabling the use of TDR technique to estimate soil water content and nitrate concentration for efficient fertigation management.
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This work proposes to determine the water activity and the freezing point depression of tangerine, pineapple and lemon juices at various concentrations (10-55oBrix) and to achieve a correlation between these properties. The freezing point depression was determined with a LAKTRON cryoscope and common laboratory materials. The water activity was determined with a DECAGON CX-2 hygrometer in the temperature range of 15 to 30oC. With the results, the adjustment to CHEN (1987) water activity prediction equation to non-electrolyte mixtures was verified, through the calculation of the variation coefficient (CV). Being CV smaller than 3% for the proposed model, it can be said that the experimental data have adjusted well to the prediction equation. The water activity and the freezing point depression was correlated for tangerine, pineapple and lemon juices and r2 values were higher than 99%. Therefore, it is possible to obtain the water activity by knowing the freezing point depression of studied juices.
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Universidade Estadual de Campinas . Faculdade de Educação Física
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Universidade Estadual de Campinas . Faculdade de Educação Física
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Universidade Estadual de Campinas. Faculdade de Educação Física