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Aplicação da transformada integral e da transformação conforme na solução de uma classe de problemas difusivo-convectivos em domínios de geometrias não-convencionaisAlves, Thiago Antonini [UNESP] 18 August 2006 (has links) (PDF)
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alves_ta_me_ilha.pdf: 8112255 bytes, checksum: 408af7eb63e2a3050e7bda3fd133d8cf (MD5) / Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) / O presente trabalho trata da solução de uma classe de problemas difusivo-convectivos, tanto de natureza elíptica como parabólica, em domínios de geometrias não-convencionais, através da aplicação da Transformada Integral. Para facilitar o tratamento analítico e a aplicação das condições de contorno, antes da aplicação da Técnica da Transformada Integral Generalizada - TTIG sobre a equação governante do problema estudado, emprega-se uma Transformação Conforme - TC visando efetuar uma mudança de coordenadas adequada. Analisa-se inicialmente o problema hidrodinâmico do escoamento laminar completamente desenvolvido de fluidos Newtonianos no interior de dutos. Para a obtenção do campo de velocidades do escoamento aplica-se a TTIG sobre a equação da quantidade de movimento. Os parâmetros hidrodinâmicos de interesse, tais como: velocidades média e máxima, fator de atrito de Fanning, fator de Hagenbach, número de Poiseuille, comprimento de entrada hidrodinâmico e queda de pressão são calculados para as diversas geometrias. Feito isso, efetua-se o estudo dos problemas difusivo-convectivos relacionados à transferência de calor do escoamento laminar hidrodinamicamente desenvolvido e termicamente em desenvolvimento de fluidos Newtonianos com perfil de temperatura de entrada uniforme em dutos submetidos a condições de contorno de Dirichlet. Para a obtenção do campo de temperatura aplica-se a TTIG sobre a equação da energia e então, calculam-se os parâmetros térmicos de interesse: temperatura média de mistura, números de Nusselt local e médio e comprimento de entrada térmica. Realiza-se, quando possível, a comparação dos resultados obtidos para os parâmetros termos-hidráulicos com os disponíveis na literatura. / The present work describes the solution of a class of elliptical-parabolic diffusiveconvective problems, on unconventional geometries, employing the Generalized Integral Transform Technique (GITT). In order to facilitate the analytical treatment and the application of the boundary conditions, a Conformal Transform (CT) is used to change the domain into a more suitable coordinate system, just before GITT is to be applied. First of all, using this procedure, the hydrodynamic problem of fully developed Newtonian laminar flow inside ducts is analyzed. In order to obtain the velocity field, GITT is applied on the momentum equation. Interesting hydrodynamic parameters, such as: maximum and minimum velocity values, Fanning friction and Hagenbach factors, Poiseuille number, hydrodynamic entry length, as well as pressure loss, are evaluated for several geometries. Following that, diffusive-convective problems are studied in relationship to the heat transfer in hydrodynamically fully developed and thermally non-developed Newtonian laminar flow inside ducts under Dirichlet boundary conditions, considering uniform temperature entrance profile. In order to obtain the temperature field, GITT is applied on the energy equation, evaluating the relevant parameters: bulk mean temperature, average and local Nusselt numbers and thermal entry length. The results are compared, as much as possible, with the parameter values available in the literature.
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Non-newtonian open-channel flow : effect of shape on laminar and transitional flowVanyaza, Sydwell Luvo January 2004 (has links)
Thesis (MTech (Chemical Engineering))--Cape Technikon, 2004 / When designing the open channels to transport the homogenous non-Newtonian slurries, the
effect of channel shape is one of the parameters that should be checked and very little research
has been conducted to address this matter. Open channels are commonly applied in the mining
industry where mine tailings have to be transported to the disposal dams at high concentrations
to save water consumption. This thesis addresses the effect of the cross-sectional shape of the
channel with emphasis on laminar and transitional flow of non-Newtonian fluids.
The literature review on the flow of Newtonian and non-Newtonian fluids has been presented.
The most relevant one to this topic is the work done by Straub et al (1958) for Newtonian
fluids and the analytical work presented by Kozicki and Tiu (1967) for non-Newtonian fluids.
Authors like Coussot (1994) and Haldenwang (2003) referred to their work but did not
comprehensively verified it experimentally.
Three flume shapes were designed to investigate this problem namely, rectangular, semi
circular, and trapezoidal flume shape. The test rig consisted of a 10 m long by 300mm wide
tilting flume that can be partitioned into two sections to form a 150 mm wide channel. All
three flume shapes were tested in both the 150 mm and 300 mm wide flumes. This flume is
linked to the in-line tube viscometer with three tube diameters namely, 13 mm; 28 mm; and 80
mm. The experimental investigation covered a wide range of flow rates (0.1-45l/s), and flume
slopes (1-5 degrees). The fluids tested were kaolin suspension (5.4 - 9% v/v), CMC solution (1
- 4% m/m), and bentonite suspension (4.6 and 6.2% mlm).
The models found in the literature were evaluated with the large database compiled from the
test results to predict the laminar and transitional flow of these fluids with the aim of checking
the effect of the cross-sectional shape of these channels selected in these flow regimes.
For all the flume shapes and non-Newtonian fluids selected in this thesis it was found that in
predicting the laminar flow, the effect of shape is adequately accounted for by the use of
hydraulic radius. In predicting the transitional flow, it was found that the effect of shape does
not have to be included.
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Escoamentos em sistemas anulares : o mapas de velocidades / Flows in annuli systems: velocity mapsVasques, Edson Jose 12 November 1994 (has links)
Orientador: Carlos Alberto Gasparetto / Tese (doutorado) - Universidade Estadual de Campinas, Faculdade de Engenharia Mecanica / Made available in DSpace on 2018-07-19T19:22:56Z (GMT). No. of bitstreams: 1
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Previous issue date: 1994 / Resumo: O presente trabalho é um estudo sobre os escoamentos anulares, onde se destacam os mapas de velocidades para os sistema excêntricos. Estes mapas foram obtidos através de: (i) algoritmos que foram desenvolvidos utilizando as soluções de Snyder 8c Goldstein (1965) para o regime laminar e (ii) da técnica da inversa:o geométrica como apresentada por Ozgen & Tosun (1987) para os escoamentos laminares e turbulentos. Esta técnica transforma um sistema anular excêntrico em um sistema concêntrico, permitindo estender os poucos pontos disponíveis, experimentais ou de soluções analíticas, para abranger praticamente toda a área da secção transversal do escoamento. Foram utilizados como base de referência turbulento os resultados experimentais de Jonsson & Sparow (1966) . Dez sistemas anulares excêntricos foram selecionados. Cinco para cada regime de escoamento ... Observação: O resumo, na íntegra, poderá ser visualizado no texto completo da tese digital / Abstract: This work deals with annular flows in concentric and eccentric systems. For the latter, we highlight velocity maps. These maps were obtained from: (i) algorithms created by us, based on the SNYDER & GOLDSTEIN (1965) solutions for the laminar flow case and (ii) the geometric inversion technique as presented by OZGEN & TOSUN (1987) for laminar and turbulent flows. The Latter transforms an eccentric annulus system into a concentric system allowing thereafter to probe the complete flow area through a few available points which can be obtained either experimentally or via analytic solutions. We took JONSSON & SPARROW (1966)'s experimental data for velocities as starting point for our calculations for the turbulent case. Ten eccentric annuli systems were selected, five for each flow regime ... Note: The complete abstract is available with the full electronic digital thesis or dissertations / Doutorado / Doutor em Engenharia Mecânica
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Laminar Flow and Heat Transfer to Variable Property Power-Law Fluids in Arbitrary Cross-Sectional DuctsLawal, Adeniyi 05 1900 (has links)
No description available.
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Fractionation of fine particle suspensions by ultrasonic and laminar flow fieldsMandralis, Zenon Ioannis January 1993 (has links)
No description available.
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An experimental evaluation of enhanced heat exchanger performance from external deluge water augmentationStorage, Michael R. January 1983 (has links)
No description available.
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Contamination effects in a laminar proportional amplifierRowell, Eugene Ernest, 1950- January 1974 (has links)
The effects of contaminated supply air on the performance of a laminar proportional amplifier were experimentally investigated. The air supply was contaminated with oil vapor and particulate matter. Characteristic gain curves were obtained after each stage of contamination for various loading conditions. Photographs showing the location of contaminant deposits were taken.
Two inlet geometries were studied: right-angle and straightthrough. The effects of maintaining a constant pressure and constant flow rate at the inlet throughout the duration of the tests were studied. Also, aspect ratio effects. were studied.
Rapid deterioration of performance was evident with the right-angle entry due to inlet blockage. By milling a cavity in the bottom cover plate, the detrimental effects of inlet blockage were delayed.
With constant pressure inlet conditions and straight-through geometry, significant buildup occurred in the nozzle region and downstream. Decrease in pressure recovery was linear with time. It was determined that null shift was caused by asymmetric buildup in either the nozzle region or splitter region.
With constant flow inlet conditions, the damaging effects on performance were delayed for both inlet geometries. Also, for the straight-through inlet, the nozzle region was relatively clean when compared with the constant pressure inlet case. Null shift was found to be the result of asymmetric buildup in the downstream region.
At lower aspect ratios, the damaging effects of contamination were more severe and occurred in less time. / Master of Science
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Internal flow subjected to an axial variation of the external heat transfer coefficientBeale, James H. January 1987 (has links)
A theoretical investigation of internal flow subjected to an axial variation of the external convection coefficient is presented. Since the variable boundary condition parameter causes the problem to become nonseparable, conventional techniques do not apply. Instead, the Green's function technique is used to convert the governing partial differential equations into a singular Volterra integral equation for the temperature of the fluid at the wall. The integral equation is resolved numerically by the trapezoid rule with the aid of a singularity subtraction procedure. The solution methodology is developed in terms of a fully turbulent flow which is shown to contain fully laminar and slug flow as special cases.
Before examining the results generated by numerical solution of the integral equation, a thorough study is made of each of the building blocks required in the solution procedure. A comparison of the respective dimensionless velocity profiles and dimensionless total diffusivities for each of the flow models is presented. Next, an analysis of the eigenvalue problem for each flow model is presented with consideration given to the normalized eigenfunctions and the eigenvalues themselves. Finally, the singular nature of the Green's function is examined showing the effect of the parameters Ho, Re and Pr.
The technique is applied to study the heat transfer from a finned tube. A parameter study is presented to examine the effects of the external finning and the flow model. The effect of external finning is examined through specific variations of the external convection coefficient, while the flow model is selected through the velocity profile and eddy diffusivity. In examining turbulent flow, the effects of the parameters, Re and Pr, are considered. / M.S.
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Laminar, steady and unsteady flow over inclined plates in two and three dimensionsHytopoulos, Evangelos 08 June 2009 (has links)
The problem studied is the laminar flow over inclined, finite flat plates for moderately high Reynolds numbers in two and three dimensions. There are only few prior analyses, mainly for two dimensional flow, for this problem, and thus it was decided that it was worthwhile to study it now in great detail. The full Navier-Stokes equations were solved using a weak Galerkin formulation for the Finite Element Method with the pressure determined by a penalty approach. The influence of grid resolution, boundary conditions and size of the domain was studied. The true nature of the flow for different Reynolds numbers was also examined through steady and unsteady simulations of the two dimensional cases for 6600 â ¤ ReL â ¤18000. Results for the three dimensional flow over square plates at two angles of attack, a = 3.0 and 8.0 degrees for ReL = 100 are presented. The results are given in terms of skin friction and pressure coefficient variations along with flowfield visualization. Comparison between the two dimensional and three dimensional flow indicates the influence of the third coordinate to the flow. The analysis indicated that the two dimensional flow over a finite thick plate at 3.0 degrees angle of attack is steady up to Re = 12000. The solution for the upper surface is strongly influenced by the presence of a recirculation bubble at the leading edge. The slope of the lift curve for the 2D viscous flow is less than 2Ï , the result predicted by the thin wing theory. The solution for the three dimensional flow is strongly influenced by the the existence of the tip vortices. The slope of the lift curve for the 3D viscous flow is less than the one corresponding to the 2D flow. In addition, the effect of the aspect ratio on the lift does not agree with the inviscid lifting line theory prediction. / Master of Science
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Effect of surface imperfections on the stability of compressible laminar boundary layersKrishna, R. C. January 1988 (has links)
The accuracy of the compressible interacting boundary-layer computations is investigated and their limitations are established by comparison with solutions to the Navier-Stokes equations both for the mean flow profiles and for the stability characteristics. The instabilities of flows around smooth forward and backward facing steps are investigated. Results presented include the effect of computational grid refinement, geometrical parametres such as heights and slopes of steps, Mach number and Reynolds number on the mean flow as well as the stability characteristics.
A proper grid should be chosen to predict accurately the mean flow profiles, including their first and second derivatives. The study has shown that the heights of the steps are more influential in triggering transition than their slopes. Increasing the Mach number reduces the growth rates and amplification factors but the presence of small separation bubbles, which increase in size with increasing Mach number, partially offset this benefit. / M.S.
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