Aplicação da transformada integral generalizada no escoamento potencial em contrações

Pós-graduação em Engenharia Mecânica - FEIS

Aplicação da transformada integral e da transformação conforme na solução de uma classe de problemas difusivo-convectivos em domínios de geometrias não-convencionais

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Heat transfer in laminar flow of non-Newtonian fluids in ducts of elliptical section

Laminar forced convection inside tubes of various cross-section shapes is of interest in the design of a low Reynolds number heat exchanger apparatus. Heat transfer to thermally developing, hydrodynamically developed forced convection inside tubes of simple geometries such as a circular tube, parallel plate, or annular duct has been well studied in the literature and documented in various books, but for elliptical duct there are not much work done. The main assumption used in this work is a laminar flow of a power flow inside elliptical tube, under a boundary condition of first kind with constant physical properties and negligible axial heat diffusion (high Peclet number). To solve the thermally developing problem, we use the generalized integral transform technique (GITT), also known as Sturm-Liouville transform. Actually, such an integral transform is a generalization of the finite Fourier transform where the sine and cosine functions are replaced by more general sets of orthogonal functions. The axes are algebraically transformed from the Cartesian coordinate system to the elliptical coordinate system in order to avoid the irregular shape of the elliptical duct wall. The GITT is then applied to transform and solve the problem and to obtain the once unknown temperature field. Afterward, it is possible to compute and present the quantities of practical interest, such as the bulk fluid temperature, the local Nusselt number and the average Nusselt number for various cross-section aspect ratios. (C) 2006 Elsevier. SAS. All rights reserved.

LAMINAR THERMALLY DEVELOPING FLOW INSIDE RIGHT-ANGULARLY TRIANGULAR DUCTS

An analytical approach based on the generalized integral transform technique is presented, for the solution of laminar forced convection within the thermal entry region of ducts with arbitrarily shaped cross-sections. The analysis is illustrated through consideration of a right triangular duct subjected to constant wall temperature boundary condition. Critical comparisons are made with results available in the literature, from direct numerical approaches. Numerical results for dimensionless average temperature and Nusselt numbers are presented for different apex angles.

Analytical/numerical hybrid solution for one-dimensional ablation problem

Ablation is a thermal protection process with several applications in engineering, mainly in the field of airspace industry. The use of conventional materials must be quite restricted, because they would suffer catastrophic flaws due to thermal degradation of their structures. However, the same materials can be quite suitable once being protected by well-known ablative materials. The process that involves the ablative phenomena is complex, could involve the whole or partial loss of material that is sacrificed for absorption of energy. The analysis of the ablative process in a blunt body with revolution geometry will be made on the stagnation point area that can be simplified as a one-dimensional plane plate problem, hi this work the Generalized Integral Transform Technique (GITT) is employed for the solution of the non-linear system of coupled partial differential equations that model the phenomena. The solution of the problem is obtained by transforming the non-linear partial differential equation system to a system of coupled first order ordinary differential equations and then solving it by using well-established numerical routines. The results of interest such as the temperature field, the depth and the rate of removal of the ablative material are presented and compared with those ones available in the open literature.

Thermally developing forced convection of non-Newtonian fluids inside elliptical ducts

Laminar-forced convection inside tubes of various cross-section shapes is of interest in the design of a low Reynolds number heat exchanger apparatus. Heat transfer to thermally developing, hydrodynamically developed forced convection inside tubes of simple geometries such as a circular tube, parallel plate, or annular duct has been well studied in the literature and documented in various books, but for elliptical duct there are not much work done. The main assumptions used in this work are a non-Newtonian fluid, laminar flow, constant physical properties, and negligible axial heat diffusion (high Peclet number). Most of the previous research in elliptical ducts deal mainly with aspects of fully developed laminar flow forced convection, such as velocity profile, maximum velocity, pressure drop, and heat transfer quantities. In this work, we examine heat transfer in a hydrodynamically developed, thermally developing laminar forced convection flow of fluid inside an elliptical tube under a second kind of a boundary condition. To solve the thermally developing problem, we use the generalized integral transform technique (GITT), also known as Sturm-Liouville transform. Actually, such an integral transform is a generalization of the finite Fourier transform, where the sine and cosine functions are replaced by more general sets of orthogonal functions. The axes are algebraically transformed from the Cartesian coordinate system to the elliptical coordinate system in order to avoid the irregular shape of the elliptical duct wall. The GITT is then applied to transform and solve the problem and to obtain the once unknown temperature field. Afterward, it is possible to compute and present the quantities of practical interest, such as the bulk fluid temperature, the local Nusselt number, and the average Nusselt number for various cross-section aspect ratios.

Estudo analítico/numérico do problema de ablação em corpos rombudos com simetria axial

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

One-sided and two-sided Green's functions

We discuss the one-sided Green's function, associated with an initial value problem and the two-sided Green's function related to a boundary value problem. We present a specific calculation associated with a differential equation with constant coefficients. For both problems, we also present the Laplace integral transform as another methodology to calculate these Green's functions and conclude which is the most convenient one. An incursion in the so-called fractional Green's function is also presented. As an example, we discuss the isotropic harmonic oscillator.

Ocorrência de Bacillus cereus em leite integral e capacidade enterotoxigênica das cepas isoladas

Pesquisaram-se a presença de Bacillus cereus e a produção de enterotoxinas produzidas por esses microrganismos em 120 amostras de diversos tipos de leite. Bacillus cereus foi isolado e identificado em 22 (73,3%), 15 (50,0%), 29 (96,7%) e quatro (13,3%) amostras de leite em pó, cru, pasteurizado e UAT (longa vida), respectivamente. Para a detecção de enterotoxinas pela técnica da alça ligada de coelho, foram positivos, respectivamente, três (13,6%), um (7,1%) e 10 (35,7%) microrganismos isolados das amostras de leite em pó, leite cru e leite pasteurizado. Pelo teste de aumento de permeabilidade vascular, dois (9,1%), um (7,1%), um (3,6%) e um (4,0%) microrganismos isolados de leite em pó, cru, pasteurizado e UAT apresentaram-se enterotoxigênicos, respectivamente. O uso da técnica de aglutinação passiva em látex demonstrou a produção da toxina diarréica por três (33,3%), sete (63,6%), quatro (30,8%) e oito (80,0%) microrganismos isolados, respectivamente, de leite em pó, cru, pasteurizado e UAT. Os resultados indicam um risco potencial, podendo colocar em risco a saúde dos consumidores desses produtos.

Efeito do processamento da soja integral sobre a energia metabolizável e a digestibilidade dos aminoácidos para aves

Essa pesquisa foi desenvolvida para se avaliar o valor nutricional da soja integral submetida a diferentes processamentos. Quatro ensaios de metabolismo foram conduzidos para determinar os coeficientes de digestibilidade da matéria seca (CDMS), do extrato etéreo (CDEE) e dos aminoácidos e os valores de energia metabolizável aparente e verdadeira da soja integral desativada (SID) e extrusada (SIE) e das misturas de farelo de soja com óleo degomado de soja (FSO) ou com óleo ácido de soja (FSOA). Nos ensaios um e dois, utilizou-se a metodologia tradicional de coleta total de excretas com pintos e galos, respectivamente. A metodologia da alimentação forçada com galos adultos intactos foi utilizada no ensaio três, e com galos cecotomizados, no ensaio quatro. Os CDMS e CDEE e a energia metabolizável determinados com galos foram superiores aos determinados com pintos. Os maiores valores de CDMS, CDEE e de energia metabolizável foram obtidos para FSO, seguidos pelos da SIE e FSOA, e os menores, para a SID. O processo de extrusão proporcionou melhores resultados no aproveitamento da gordura do grão de soja e, conseqüentemente, da energia. Entretanto, a digestibilidade dos aminoácidos não foi influenciada pelos processamentos. Os diferentes processamentos conferiram à soja integral características nutricionais que se distinguiram, principalmente quanto ao valor de energia metabolizável, que também variou com a idade das aves.

Hidrolisados protéicos de mucosa intestinal, levedura e proteína isolada de soja em dietas com leite em pó integral para leitões desmamados

Avaliou-se o efeito da substituição parcial do farelo de soja (FS) por hidrolisado protéico do conteúdo celular de levedura (HPCCL), proteína isolada de soja (PIS) ou hidrolisado protéico de mucosa intestinal de suínos (HPMIS) em dietas com leite em pó integral (LPI) sobre o desempenho, os níveis séricos de uréia e a incidência de diarréia em leitões desmamados. Foram utilizados 40 leitões desmamados aos 21 dias de idade (20 machos castrados e 20 fêmeas), distribuídos em delineamento em blocos ao acaso, com cinco tratamentos (dietas) e oito repetições. As dietas foram fornecidas em três fases, de acordo com a idade dos animais: fase pré-inicial 1 (21 aos 35 dias de idade): dieta à base de milho e farelo de soja (FS); dieta com 15,0% LPI; dieta com 15,0% LPI + 3,5% HPMIS; dieta com 15,0% LPI + 5,0% de PIS; dieta com 15,0% LPI + 5,0% HPCCL. Na fase pré-inicial 2 (36 aos 49 dias de idade), foi mantida a dieta à base de milho e farelo de soja e o LPI foi reduzido para 7,5% em todas as dietas, o HPMIS para 1,5%, a PIS para 4% e o HPCCL foi mantido em 5%. Na fase inicial (50 aos 70 dias de idade), foi mantida a dieta à base de milho e farelo de soja, o LPI foi retirado de todas as dietas e os animais que nas fases pré-inicial 1 e 2 foram alimentados com as dietas contendo LPI e LPI + HPMIS passaram a ser alimentados com a dieta à base de milho e farelo de soja; a PIS foi reduzida para 3% e o HPCCL para 2,5%. No período de 21 a 35 dias, a dieta LPI + PIS proporcionou maior ganho diário de peso e melhor conversão alimentar. Nas fases seguintes, não houve diferença no desempenho entre as dietas. Até cinco dias após o desmame, os animais alimentados com as rações FS e LPI + PIS apresentaram menor índice de diarréia. Os níveis séricos de uréia não foram influenciados pelas dietas. A utilização de PIS, HPMIS e HPCCL em dietas complexas contendo leite em pó pode consistir em alternativa biologicamente viável em dietas para leitões.

IFTrace: Video segmentation of deformable objects using the Image Foresting Transform

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Systematic analysis of the Fourier transform spectrum of (CH3OH)-C-13 between 400 and 950 cm(-1)

We have investigated a high-resolution Fourier transform (FT) absorption spectrum of the (CH3OH)-C-13 isotopomer of methanol from 400 to 950 cm(-1) with the Ritz program. We present the assignments of 7160 transitions, 3021 of which belong to Asymmetry, and 4139 to E-symmetry. These transitions occur between states labeled by K quantum numbers up to 14, and by torsional quantum numbers n up to 4. The Ritz program evaluated the energies of the 4684 involved levels with an accuracy of the order of 10(-4) cm(-1). All of the assigned lines correspond to transitions involving torsionally excited levels within the ground small-amplitude vibrational state. (c) 2005 Elsevier B.V. All rights reserved.

Cauchy-Stieltjes Integral on Time Scales in Banach Spaces and Hysteresis Operators

The play operator has a fundamental importance in the theory of hysteresis. It was studied in various settings as shown by P. Krejci and Ph. Laurencot in 2002. In that work it was considered the Young integral in the frame of Hilbert spaces. Here we study the play in the frame of the regulated functions (that is: the ones having only discontinuities of the first kind) on a general time scale T (that is: with T being a nonempty closed set of real numbers) with values in a Banach space. We will be showing that the dual space in this case will be defined as the space of operators of bounded semivariation if we consider as the bilinearity pairing the Cauchy-Stieltjes integral on time scales.

Dynamic stationary response of reinforced plates by the boundary element method

A direct version of the boundary element method (BEM) is developed to model the stationary dynamic response of reinforced plate structures, such as reinforced panels in buildings, automobiles, and airplanes. The dynamic stationary fundamental solutions of thin plates and plane stress state are used to transform the governing partial differential equations into boundary integral equations (BIEs). Two sets of uncoupled BIEs are formulated, respectively, for the in-plane state ( membrane) and for the out-of-plane state ( bending). These uncoupled systems are joined to formamacro-element, in which membrane and bending effects are present. The association of these macro-elements is able to simulate thin-walled structures, including reinforced plate structures. In the present formulation, the BIE is discretized by continuous and/or discontinuous linear elements. Four displacement integral equations are written for every boundary node. Modal data, that is, natural frequencies and the corresponding mode shapes of reinforced plates, are obtained from information contained in the frequency response functions (FRFs). A specific example is presented to illustrate the versatility of the proposed methodology. Different configurations of the reinforcements are used to simulate simply supported and clamped boundary conditions for the plate structures. The procedure is validated by comparison with results determined by the finite element method (FEM).