Friction losses of Newtonian and non-Newtonian fluids flowing in laminar regime in a helical coil

This study aimed to carry out experimental work to determine, for Newtonian and non-Newtonian fluids, the friction factor (fc) with simultaneous heat transfer, at constant wall temperature as boundary condition, in fully developed laminar flow inside a vertical helical coil. The Newtonian fluids studied were aqueous solutions of glycerol, 25%, 36%, 43%, 59% and 78% (w/w). The non-Newtonian fluids were aqueous solutions of carboxymethylcellulose (CMC), a polymer, with concentrations of 0.2%, 0.3%, 0.4% and 0.6% (w/w) and aqueous solutions of xanthan gum (XG), another polymer, with concentrations of 0.1% and 0.2% (w/w). According to the rheological study done, the polymer solutions had shear-thinning behavior and different values of viscoelasticity. The helical coil used has an internal diameter, curvature ratio, length and pitch, respectively: 0.00483 m, 0.0263, 5.0 m and 11.34 mm. It was concluded that the friction factors, with simultaneous heat transfer, for Newtonian fluids can be calculated using expressions from literature for isothermal flows. The friction factors for CMC and XG solutions are similar to those for Newtonian fluids when the Dean number, based in a generalized Reynolds number, is less than 80. For Dean numbers higher than 80, the friction factors of the CMC solutions are lower those of the XG solutions and of the Newtonian fluids. In this range the friction factors decrease with the increase of the viscometric component of the solution and increase for increasing elastic component. The change of behavior at Dean number 80, for Newtonian and non-Newtonian fluids, is in accordance with the study of Ali [4]. There is a change of behavior at Dean number 80, for Newtonian and non-Newtonian fluids, which is in according to previous studies. The data also showed that the use of the bulk temperature or of the film temperature to calculate the physical properties of the fluid has a residual effect in the friction factor values.

Heat transfer coefficients from Newtonian and non-Newtonian fluids flowing in laminar regime in a helical coil

This study aimed to carry out experimental work to obtain, for Newtonian and non-Newtonian fluids, heat transfer coefficients, at constant wall temperature as boundary condition, in fully developed laminar flow inside a helical coil. The Newtonian fluids studied were aqueous solutions of glycerol, 25%, 36%, 43%, 59% and 78% (w/w) and the non-Newtonian fluids aqueous solutions of carboxymethylcellulose (CMC), a polymer, with concentrations 0.1%, 0.2%, 0.3%, 0.4% and 0.6% (w/w) and aqueous solutions of xanthan gum (XG), another polymer, with concentrations 0.1% and 0.2% (w/w). According to the rheological study performed, the polymer solutions had shear thinning behavior and different values of elasticity. The helical coil used has internal diameter, curvature ratio, length and pitch, respectively: 0.004575 m, 0.0263, 5.0 m and 11.34 mm. The Nusselt numbers for the CMC solutions are, on average, slightly higher than those for Newtonian fluids, for identical Prandtl and generalized Dean numbers. As outcome, the viscous component of the shear thinning polymer tends to potentiate the mixing effect of the Dean cells. The Nusselt numbers of the XG solutions are significant lower than those of the Newtonian solutions, for identical Prandtl and generalized Dean numbers. Therefore, the elastic component of the polymer tends to diminish the mixing effect of the Dean cells. A global correlation, for Nusselt number as a function of Péclet, generalized Dean and Weissenberg numbers for all Newtonian and non-Newtonian solutions studied, is presented.

Modeling of the lung impedance using a fractional order ladder network with constant phase elements

The self similar branching arrangement of the airways makes the respiratory system an ideal candidate for the application of fractional calculus theory. The fractal geometry is typically characterized by a recurrent structure. This study investigates the identification of a model for the respiratory tree by means of its electrical equivalent based on intrinsic morphology. Measurements were obtained from seven volunteers, in terms of their respiratory impedance by means of its complex representation for frequencies below 5 Hz. A parametric modeling is then applied to the complex valued data points. Since at low-frequency range the inertance is negligible, each airway branch is modeled by using gamma cell resistance and capacitance, the latter having a fractional-order constant phase element (CPE), which is identified from measurements. In addition, the complex impedance is also approximated by means of a model consisting of a lumped series resistance and a lumped fractional-order capacitance. The results reveal that both models characterize the data well, whereas the averaged CPE values are supraunitary and subunitary for the ladder network and the lumped model, respectively.

Approximating fractional derivatives through the generalized mean

This paper addresses the calculation of fractional order expressions through rational fractions. The article starts by analyzing the techniques adopted in the continuous to discrete time conversion. The problem is re-evaluated in an optimization perspective by tacking advantage of the degree of freedom provided by the generalized mean formula. The results demonstrate the superior performance of the new algorithm.

Utilização da Nanotecnologia para o desenvolvimento sustentável na indústria agro-alimentar

O crescimento populacional esperado para os próximos anos conduzirá à necessidade de aumentar a produção agrícola de modo a satisfazer o aumento da procura. Nos últimos anos tem-se assistido a uma evolução tecnológica nos sistemas de produção que tem permitido aumentar a produtividade agrícola, por vezes à custa de elevados consumos de energia e com práticas nem sempre ambientalmente corretas. Os desafios que se colocam atualmente são no sentido de melhorar a conservação de recursos escassos, como o solo e a água, de aumentar a eficiência de uso de fatores de produção, de encontrar novas culturas, do desenvolvimento da biotecnologia, da diminuição dos consumos energéticos e de melhorar ainda mais as tecnologias associadas à produção. De maneira a responder aos desafios emergentes da procura por alimentos, da escassez de terrenos agrícolas aráveis bem como da existência de pragas de insetos e de ervas daninhas, os pesticidas tem vindo a ser usados com maior frequência, tendo-se assistido a uma contaminação dos solos e águas subterrâneas, causando deste modo um risco para a saúde dos seres vivos. Neste sentido, vários fabricantes de pesticidas estão a desenvolver novas formulações contendo pesticidas encapsulados em nanopartículas como modo de aumentar a sua solubilidade em água, biodisponibilidade, volatilidade, estabilidade e eficácia. tendo por objetivo um desenvolvimento sustentável. Neste trabalho, procedeu-se ao estudo do encapsulamento do herbicida Oxadiargil (5-terc-butil-3-[2,4-dicloro-5-(2-propiniloxi)fenil]-1,3,4-oxadiazol-2(3H)-ona) com a 2-hidroxipropil-β-ciclodextrina (HP-β-CD). O estudo da formação do complexo de inclusão Oxadiargil - HP-β-CD foi realizado em diferentes meios, água desionizada, tampão acetato pH = 3,46 e pH = 5,34 e tampão fosfato pH = 7,45, com o objetivo de determinar e comparar a sua constante de estabilidade. Verificou-se, em qualquer dos casos, a ocorrência de uma relação linear entre o aumento da solubilidade do Oxadiargil e o aumento da concentração de HP-β-CD, com um declive inferior a um, o que indicia a formação de um complexo na proporção estequiométrica de 1:1. Os resultados obtidos permitiram concluir que o processo de complexação Oxadiargil - HP-β-CD não é muito influenciado pela constituição e pelo pH do meio. De facto, as constantes de estabilidade obtidas para a água desionizada e soluções-tampão pH = 3,46, pH = 5,34 e pH = 7,45 foram de 919 ± 25, 685 ± 13, 623 ± 17 e 753 ± 9, respetivamente. A solubilidade do complexo obtido nos estudos realizados, em diferentes meios, é cerca de 23 a 32 vezes superior à observada para o Oxadiargil livre. De forma a caracterizar o complexo Oxadiargil - HP-β-CD procedeu-se à sua síntese utilizando o método de “kneading”. O composto obtido foi caracterizado por Ressonância Magnética Nuclear (RMN) tendo-se confirmado a formação de um complexo de inclusão na proporção estequiométrica de 1:1. O complexo obtido é mais solúvel e porventura mais estável quimicamente. O encapsulamento permite uma redução da aplicação dos pesticidas diminuindo assim os custos e o impacto negativo no ambiente. Com a nanotecnologia é possível a libertação controlada dos pesticidas, aumentando a sua eficácia e fornecendo os meios necessários para um desenvolvimento sustentável.