Development of a low-Reynolds-number k-ω model for FENE-P fluids

A low-Reynolds-number k-ω model for Newtonian fluids has been developed to predict drag reduction of viscoelastic fluids described by the FENE-P model. The model is an extension to viscoelastic fluids of the model for Newtonian fluids developed by Bredberg et al. (Int J Heat Fluid Flow 23:731-743, 2002). The performance of the model was assessed using results from direct numerical simulations for fully developed turbulent channel flow of FENE-P fluids. It should only be used for drag reductions of up to 50 % (low and intermediate drag reductions), because of the limiting assumption of turbulence isotropy leading to an under-prediction of k, but compares favourably with results from k-ε models in the literature based on turbulence isotropy. © 2012 Springer Science+Business Media Dordrecht.

Stable singularities of co-rank one quasi homogeneous map germs from (ℂn+1, 0) to (ℂn, 0), n = 2, 3

In this article, we investigate the geometry of quasi homogeneous corank one finitely determined map germs from (ℂn+1, 0) to (ℂn, 0) with n = 2, 3. We give a complete description, in terms of the weights and degrees, of the invariants that are associated to all stable singularities which appear in the discriminant of such map germs. The first class of invariants which we study are the isolated singularities, called 0-stable singularities because they are the 0-dimensional singularities. First, we give a formula to compute the number of An points which appear in any stable deformation of a quasi homogeneous co-rank one map germ from (ℂn+1, 0) to (ℂn, 0) with n = 2, 3. To get such a formula, we apply the Hilbert's syzygy theorem to determine the graded free resolution given by the syzygy modules of the associated iterated Jacobian ideal. Then we show how to obtain the other 0-stable singularities, these isolated singularities are formed by multiple points and here we use the relation among them and the Fitting ideals of the discriminant. For n = 2, there exists only the germ of double points set and for n = 3 there are the triple points, named points A1,1,1 and the normal crossing between a germ of a cuspidal edge and a germ of a plane, named A2,1. For n = 3, there appear also the one-dimensional singularities, which are of two types: germs of cuspidal edges or germs of double points curves. For these singularities, we show how to compute the polar multiplicities and also the local Euler obstruction at the origin in terms of the weights and degrees. © 2013 Pushpa Publishing House.

Plane waves in noncommutative fluids

We study the dynamics of the noncommutative fluid in the Snyder space perturbatively at the first order in powers of the noncommutative parameter. The linearized noncommutative fluid dynamics is described by a system of coupled linear partial differential equations in which the variables are the fluid density and the fluid potentials. We show that these equations admit a set of solutions that are monochromatic plane waves for the fluid density and two of the potentials and a linear function for the third potential. The energy-momentum tensor of the plane waves is calculated. © 2013 Elsevier B.V.

Study of the threshold line between macroscopic and bulk behaviors for homogeneous type II superconductors

In this work we solved the time dependent Ginzburg-Landau equations to simulate homogeneous superconducting samples with square geometry for several lateral sizes. As a result of such simulations we notice that in the Meissner state, when the vortices do not penetrate the superconductor, the response of small samples are not coincident with that expected for the bulk ones, i.e., 4. πM=. -. H. Thus, we focused our analyzes on the way which the M(. H) curves approximate from the characteristic curve of bulk superconductors. With such study, we built a diagram of the size of the sample as a function of the temperature which indicates a threshold line between macroscopic and bulk behaviors. © 2013 Elsevier B.V.

Analyzing the effect of homogeneous frustration in protein folding

The energy landscape theory has been an invaluable theoretical framework in the understanding of biological processes such as protein folding, oligomerization, and functional transitions. According to the theory, the energy landscape of protein folding is funneled toward the native state, a conformational state that is consistent with the principle of minimal frustration. It has been accepted that real proteins are selected through natural evolution, satisfying the minimum frustration criterion. However, there is evidence that a low degree of frustration accelerates folding. We examined the interplay between topological and energetic protein frustration. We employed a Cα structure-based model for simulations with a controlled nonspecific energetic frustration added to the potential energy function. Thermodynamics and kinetics of a group of 19 proteins are completely characterized as a function of increasing level of energetic frustration. We observed two well-separated groups of proteins: one group where a little frustration enhances folding rates to an optimal value and another where any energetic frustration slows down folding. Protein energetic frustration regimes and their mechanisms are explained by the role of non-native contact interactions in different folding scenarios. These findings strongly correlate with the protein free-energy folding barrier and the absolute contact order parameters. These computational results are corroborated by principal component analysis and partial least square techniques. One simple theoretical model is proposed as a useful tool for experimentalists to predict the limits of improvements in real proteins. © 2013 Wiley Periodicals, Inc.

Tribocorrosion behaviour of anodic treated titanium surfaces intended for dental implants

Tribocorrosion plays an important role in the lifetime of metallic implants. Once implanted, biomaterials are subjected to micro-movements in aggressive biological fluids. Titanium is widely used as an implant material because it spontaneously forms a compact and protective nanometric thick oxide layer, mainly TiO2, in ambient air. That layer provides good corrosion resistance, and very low toxicity, but its low wear resistance is a concern. In this work, an anodizing treatment was performed on commercial pure titanium to form a homogeneous thick oxide surface layer in order to provide bioactivity and improve the biological, chemical and mechanical properties. Anodizing was performed in an electrolyte containing β-glycerophosphate and calcium acetate. The influence of the calcium acetate content on the tribocorrosion behaviour of the anodized material was studied. The concentration of calcium acetate in the electrolyte was found to largely affect the crystallographic structure of the resulting oxide layer. Better tribocorrosion behaviour was noticed on increasing the calcium acetate concentration. © 2013 IOP Publishing Ltd.

The carreau-yasuda fluids: a skin friction equation for turbulent flow in pipes and kolmogorov dissipative scales

In this work the turbulent flow of the Non-Newtonian Carreau-Yasuda fluid will be studied. A skin friction equation for the turbulent flow of Carreau-Yasuda fluids will be derived assuming a logarithmic behavior of the turbulent mean velocity for the near wall flow out of the viscous sub layer. An alternative near wall characteristic length scale which takes into account the effects of the relaxation time will be introduced. The characteristic length will be obtained through the analysis of viscous region near the wall. The results compared with experimental data obtained with Tylose (methyl hydroxil cellulose) solutions showing good agreement. The relations between scales integral and dissipative obtained for length, time, velocity, kinetic energy, and vorticity will be derived for this type of fluid. When the power law index approach to unity the relations reduces to Newtonian case.

Integral transform solution for the forced convection of herschel-bulkley fluids in circular tubes and parallel-plates ducts

ABSTRACT: The thermal entry region in laminar forced convection of Herschel-Bulkley fluids is solved analytically through the integral transform technique, for both circular and parallel-plates ducts, which are maintained at a prescribed wall temperature or at a prescribed wall heat flux. The local Nusselt numbers are obtained with high accuracy in both developing and fully-developed thermal regions, and critical comparisons with previously reported numerical results are performed.

Integral transform method for laminar heat transfer convection of herschel-bulkley fluids within concentric annular ducts

ABSTRACT: Related momentum and energy equations describing the heat and fluid flow of Herschel-Bulkley fluids within concentric annular ducts are analytically solved using the classical integral transform technique, which permits accurate determination of parameters of practical interest in engineering such as friction factors and Nusselt numbers for the duct length. In analyzing the problem, thermally developing flow is assumed and the duct walls are subjected to boundary conditions of first kind. Results are computed for the velocity and temperature fields as well as for the parameters cited above with different power-law indices, yield numbers and aspect ratios. Comparisons are also made with previous work available in the literature, providing direct validation of the results and showing that they are consistent.

3D raytracing through homogeneous anisotropic media with smooth interfaces

O raio conectando dois pontos em um meio anisotrópico, homogêneo por partes e com variação lateral, é calculado utilizando-se técnicas de continuação em 3D. Se combinado com algoritmos para solução do problema de valor inicial, o método pode ser estendido para o cálculo de eventos qS₁ e qS₂. O algoritmo apresenta a mesma eficiência e robustez que implementações de técnicas de continuação em meios isotrópicos. Rotinas baseadas neste algoritmo têm várias aplicações de interesse. Primeiramente, na modelagem e inversão de parâmetros elásticos na presença de anisotropia. Em segundo lugar, as iterações de Newton-Raphson produzem atributos da frente de onda como vetor vagarosidade e a matrix hessiana do tempo de trânsito, quantidades que permitem determinar o espalhamento geométrico e aproximações de segunda ordem para o tempo de trânsito. Estes atributos permitem calcular as amplitudes ao longo do raio e investigar os efeitos da anisotropia no empilhamento CRS em modelos de velocidade simples.

Geologia, petrografia e geoquímica dos granitóides arqueanos de Sapucaia - Província Carajás-PA

Os estudos geológicos desenvolvidos na porção leste do Subdomínio de Transição, Província Carajás, a sul da cidade de Canaã dos Carajás e a norte de Sapucaia, permitiram a identificação, individualização e caracterização de uma diversidade de unidades arqueanas, anteriormente englobadas no Complexo Xingu. A unidade mais antiga da área compreende anfibólio tonalitos correlacionados ao Tonalito São Carlos (~2,92 Ga), com foliação orientada segundo NW-SE a E-W, ou, por vezes, aspecto homogêneo. Geoquimicamente, diferem das típicas associações tonalito-trondhjemito-granodiorito (TTG) arqueanas por apresentarem enriquecimento em TiO₂, MgO e CaO, baixos teores de Sr e similares de Rb para amostras com menores teores de sílica, que se refletem em razões Rb/Sr mais elevadas e Sr/Ba mais baixas. Os padrões dos ETR mostram baixo a moderado fracionamento de ETR pesados em relação aos leves, e anomalias negativas de Eu discretas ou moderadas. Seguindo na estratigrafia, e também como a unidade de maior expressão na área, ocorrem rochas de afinidade TTG correspondentes ao Trodhjemito Colorado (~2,87 Ga), intensamente deformadas, com foliações NW-SE a E-W. Intrusivos nesta unidade, ao sul da área, aflora um corpo de aproximadamente 40 km², de rochas de composição leucogranodiorítica porfirítica denominados de Leucogranodiorito Pantanal, e seccionado em sua porção oeste por leucogranitos deformados de composição monzogranítica. O Leucogranodiorito Pantanal têm afinidade cálcio-alcalina peraluminosa, enriquecimento em Ba e Sr, e padrões de ETR sem anomalias expressivas de Eu e com acentuado fracionamento de ETRP, que refletem em altas razões La/Yb semelhante com a Suíte Guarantã (~2,87 Ga) do Domínio Rio Maria. Os leucogranitos revelam assinatura geoquímica de granitos tipo-A reduzidos, possivelmente, originados a partir da fusão desidratada de rochas cálcico-alcalinas peraluminosas durante o Neoarqueano. Além dessas unidades, na porção leste do Leucogranodiorito Pantanal, hornblenda-biotita granito neoarquenos tipo-A oxidados da Suíte Vila Jussara. Ainda correlacionáveis ao magmatismo subalcalino neoarqueano, na porção norte, ocorrem dois stocks graniticos. São tonalitos a granodioritos com assinatura geoquímica de granitos tipo-A oxidados similares a Suíte Vila Jussara, e monzogranitos com assinatura de granitos tipo-A reduzidos que se assemelham a Suíte Planalto. Ao norte da área ocorre uma associação máfico-enderbitica composta de hornblendanoritos, piroxênio-hornblenda-gabros, piroxênio-hornblenda-monzonito, hornblenda-gabros, anfibolitos e enderbitos. Essas rochas estão intensamente deformadas e recristalizadas, provavelmente por retrometamorfismo na presença de água de rochas de série noríticavii charnockítica de origem ígnea associada com outras variedades de rochas não necessariamente cogenéticas. Seu comportamento geoquímico sugere que os hornblendanorito, hornblenda-gabros e anfibolitos são toleíticos subalcalinos, enquanto que os enderbitos, piroxênio-hornblenda-gabro e piroxênio-hornblenda-monzonito têm assinatura cálcico-alcalina. As baixas razões La/Yb das rochas máficas indicam baixo grau de fracionamento, enquanto que as altas razões La/Yb dos enderbitos é indicativo de fracionamento expressivo dos ETR pesados durante a formação ou diferenciação dos seus magmas, e a concavidade no padrão de ETR pesados, indica provável influência de fracionamento de anfibólio durante sua evolução. Na porção central e centro-norte da área ocorrem biotita-monzogranitos peraluminosos, de assinatura cálcio-alcalina, que podem ser desdobrados em dois grupos geoquímicos distindo. Um tem altas razões Sr/Y e (La/Yb)n, mostram possível afinidade com o Granito Bom Jesus da área de Canaã dos Carajás. O outro tem mais baixa razão (La/Yb)n se aproxima mais do Granito Serra Dourada e do Granito Cruzadão também da área de Canaã dos Carajás. Essa comparação deverá ser aprofundada com dados geocronológicos e maior número de amostras.

Efeitos renais da dexmedetomidina como adjuvante à anestesia geral combinada à anestesia peridural em pacientes oncológicos submetidos a cirurgias urológicas

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

A Reynolds stress model for turbulent flows of viscoelastic fluids

A second-order closure is developed for predicting turbulent flows of viscoelastic fluids described by a modified generalised Newtonian fluid model incorporating a nonlinear viscosity that depends on a strain-hardening Trouton ratio as a means to handle some of the effects of viscoelasticity upon turbulent flows. Its performance is assessed by comparing its predictions for fully developed turbulent pipe flow with experimental data for four different dilute polymeric solutions and also with two sets of direct numerical simulation data for fluids theoretically described by the finitely extensible nonlinear elastic - Peterlin model. The model is based on a Newtonian Reynolds stress closure to predict Newtonian fluid flows, which incorporates low Reynolds number damping functions to properly deal with wall effects and to provide the capability to handle fluid viscoelasticity more effectively. This new turbulence model was able to capture well the drag reduction of various viscoelastic fluids over a wide range of Reynolds numbers and performed better than previously developed models for the same type of constitutive equation, even if the streamwise and wall-normal turbulence intensities were underpredicted.

Numerical and experimental investigations of three-dimensional container filling with Newtonian viscous fluids

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Theoretical Analysis and Experimental Validation of the Scholte Wave Propagation in Immersed Plates for the Characterization of Viscous Fluids

This work reports the study of an attractive interfacial wave for application in ultrasonic NDE techniques for inspection and fluid characterization. This wave, called quasi-Scholte mode, is a kind of flexural wave in a plate in contact with a fluid which presents a good sensitivity to the fluid properties. In order to explore this feature, the phase velocity curve of quasi-Scholte mode is experimentally measured in a plate in contact with a viscous fluid, showing a good agreement with theory.