12 resultados para Non-constant coefficient diffusion equations
em Instituto Politécnico do Porto, Portugal
Resumo:
On solid substrates, yeast colonies pass through distinct developmental phases characterized by the changes in pH of their surroundings from acidic to nearly alkaline and vice versa. At the beginning of the alkali phase colonies start to produce ammonia, which functions as a quorum-sensing molecule inducing the reprogramming of cell metabolism. Such reprogramming includes, among others, the activation of several plasma membrane transporters and is connected with colony differentiation. In the present study, we show that colony cells can use two transport mechanisms to import lactic acid: a ‘saturable’ component of the transport, which requires the presence of a functional Jen1p transporter, and a ‘non-saturable’ component (diffusion) that is independent of Jen1p. During colony development, the efficiency of both transport components changes similarly in central and outer colonial cells. Although the lactate uptake capacity of central cells gradually decreases during colony development, the lactate uptake capacity of outer cells peaks during the alkali phase and is also kept relatively high in the second acidic phase. This lactate uptake profile correlates with the localization of the Jen1p transporter to the plasma membrane of colony cells. Both lactic acid uptake mechanisms are diminished in sok2 colonies where JEN1 expression is decreased. The Sok2p transcription factor may therefore be involved in the regulation of non-saturable lactic acid uptake in yeast colonies.
Resumo:
A geração de trajectórias de robôs em tempo real é uma tarefa muito complexa, não
existindo ainda um algoritmo que a permita resolver de forma eficaz. De facto, há
controladores eficientes para trajectórias previamente definidas, todavia, a adaptação a
variações imprevisíveis, como sendo terrenos irregulares ou obstáculos, constitui ainda um
problema em aberto na geração de trajectórias em tempo real de robôs.
Neste trabalho apresentam-se modelos de geradores centrais de padrões de locomoção
(CPGs), inspirados na biologia, que geram os ritmos locomotores num robô quadrúpede.
Os CPGs são modelados matematicamente por sistemas acoplados de células (ou
neurónios), sendo a dinâmica de cada célula dada por um sistema de equações diferenciais
ordinárias não lineares. Assume-se que as trajectórias dos robôs são constituídas por esta
parte rítmica e por uma parte discreta. A parte discreta pode ser embebida na parte rítmica,
(a.1) como um offset ou (a.2) adicionada às expressões rítmicas, ou (b) pode ser calculada
independentemente e adicionada exactamente antes do envio dos sinais para as articulações
do robô. A parte discreta permite inserir no passo locomotor uma perturbação, que poderá
estar associada à locomoção em terrenos irregulares ou à existência de obstáculos na
trajectória do robô. Para se proceder á análise do sistema com parte discreta, será variado o
parâmetro g. O parâmetro g, presente nas equações da parte discreta, representa o offset do
sinal após a inclusão da parte discreta.
Revê-se a teoria de bifurcação e simetria que permite a classificação das soluções
periódicas produzidas pelos modelos de CPGs com passos locomotores quadrúpedes. Nas
simulações numéricas, usam-se as equações de Morris-Lecar e o oscilador de Hopf como
modelos da dinâmica interna de cada célula para a parte rítmica. A parte discreta é
modelada por um sistema inspirado no modelo VITE. Medem-se a amplitude e a
frequência de dois passos locomotores para variação do parâmetro g, no intervalo [-5;5].
Consideram-se duas formas distintas de incluir a parte discreta na parte rítmica: (a) como
um (a.1) offset ou (a.2) somada nas expressões que modelam a parte rítmica, e (b) somada
ao sinal da parte rítmica antes de ser enviado às articulações do robô. No caso (a.1),
considerando o oscilador de Hopf como dinâmica interna das células, verifica-se que a amplitude e frequência se mantêm constantes para -5
Resumo:
Foi realizado um estudo sobre o efeito do tipo de fluidos na transferência de calor. Pretende-se determinar a influência da concentração da solução de Goma de Xantano, do número de Reynolds, do número de Weissenberg, da temperatura e do tempo de escoamento no coeficiente de transferência de calor, jH. O estudo da transferência de calor foi feito num permutador de tubos duplos concêntricos. Já o estudo da reologia foi realizado num reómetro. Na caracterização reológica das soluções de XG, a viscosidade aumenta com a concentração das soluções, diminui para taxas de deformação crescentes e com o aumento da temperatura para ambas as soluções. Os dados mostram um aumento da intensidade da pseudoplasticidade com a concentração do polímero, sendo os valores representados pelo modelo de Sisco. A degradação da solução de 0,20% de goma de xantano a 25 ºC, com o escoamento, é muito acelerada. Os resultados dos ensaios apresentam uma diminuição da viscosidade de 9,4% a 22,9%, para tempos de escoamento de 12 a 47 horas, respectivamente. Num escoamento turbulento em conduta de secção circular constante os resultados mostram uma redução de arrasto total de 18 para 33%. Para a solução de 0,10 % de XG, verifica-se um aumento do calor transferido de 115% e de 130%, quando a temperatura aumenta de 25 ºC para 36 ºC, respectivamente. A água apresenta valores de calor transferido superiores, cerca de 170%, aos da solução de 0,1 %XG. O factor de correlação empírico de Colbourn (jH), utilizado neste trabalho apresenta valores de acordo com a relação de Cho and Hartnett (1985): jH<2/f. Quando o caudal do fluido quente aumenta verifica-se uma diminuição do factor jH. Em relação ao tempo de escoamento verifica-se uma diminuição de cerca de 70% do coeficiente de transferência de calor ao fim de 47 horas. Finalmente verificamos uma diminuição do factor de transferência de calor com o aumento da temperatura do fluido quente, para ambas as concentrações de goma de xantano. Para as soluções de 0,10 e 0,20% de XG essa diminuição variou entre 38 e 15% e entre 34 e 3%, respectivamente.
Resumo:
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.
Resumo:
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.
Resumo:
The concept of differentiation and integration to non-integer order has its origins in the seventeen century. However, only in the second-half of the twenty century appeared the first applications related to the area of control theory. In this paper we consider the study of a heat diffusion system based on the application of the fractional calculus concepts. In this perspective, several control methodologies are investigated and compared. Simulations are presented assessing the performance of the proposed fractional-order algorithms.
Resumo:
This work deals with the numerical simulation of air stripping process for the pre-treatment of groundwater used in human consumption. The model established in steady state presents an exponential solution that is used, together with the Tau Method, to get a spectral approach of the solution of the system of partial differential equations associated to the model in transient state.
Resumo:
This work deals with the numerical simulation of air stripping process for the pre-treatment of groundwater used in human consumption. The model established in steady state presents an exponential solution that is used, together with the Tau Method, to get a spectral approach of the solution of the system of partial differential equations associated to the model in transient state.
Resumo:
Volatile organic compounds are a common source of groundwater contamination that can be easily removed by air stripping in columns with random packing and using a counter-current flow between the phases. This work proposes a new methodology for column design for any type of packing and contaminant which avoids the necessity of an arbitrary chosen diameter. It also avoids the employment of the usual graphical Eckert correlations for pressure drop. The hydraulic features are previously chosen as a project criterion. The design procedure was translated into a convenient algorithm in C++ language. A column was built in order to test the design, the theoretical steady-state and dynamic behaviour. The experiments were conducted using a solution of chloroform in distilled water. The results allowed for a correction in the theoretical global mass transfer coefficient previously estimated by the Onda correlations, which depend on several parameters that are not easy to control in experiments. For best describe the column behaviour in stationary and dynamic conditions, an original mathematical model was developed. It consists in a system of two partial non linear differential equations (distributed parameters). Nevertheless, when flows are steady, the system became linear, although there is not an evident solution in analytical terms. In steady state the resulting ODE can be solved by analytical methods, and in dynamic state the discretization of the PDE by finite differences allows for the overcoming of this difficulty. To estimate the contaminant concentrations in both phases in the column, a numerical algorithm was used. The high number of resulting algebraic equations and the impossibility of generating a recursive procedure did not allow the construction of a generalized programme. But an iterative procedure developed in an electronic worksheet allowed for the simulation. The solution is stable only for similar discretizations values. If different values for time/space discretization parameters are used, the solution easily becomes unstable. The system dynamic behaviour was simulated for the common liquid phase perturbations: step, impulse, rectangular pulse and sinusoidal. The final results do not configure strange or non-predictable behaviours.
Resumo:
A new method for the study and optimization of manu«ipulator trajectories is developed. The novel feature resides on the modeling formulation. Standard system desciptions are based on a set of differential equations which, in general, require laborious computations and may be difficult to analyze. Moreover, the derived algorithms are suited to "deterministic" tasks, such as those appearing in a repetitivework, and are not well adapted to a "random" operation that occurs in intelligent systems interacting with a non-structured and changing environment. These facts motivate the development of alternative models based on distinct concepts. The proposed embedding of statistics and Fourier trasnform gives a new perspective towards the calculation and optimization of the robot trajectories in manipulating tasks.
Resumo:
Part of the optical clearing study in biological tissues concerns the determination of the diffusion characteristics of water and optical clearing agents in the subject tissue. Such information is sufficient to characterize the time dependence of the optical clearing mechanisms—tissue dehydration and refractive index (RI) matching. We have used a simple method based on collimated optical transmittance measurements made from muscle samples under treatment with aqueous solutions containing different concentrations of ethylene glycol (EG), to determine the diffusion time values of water and EG in skeletal muscle. By representing the estimated mean diffusion time values from each treatment as a function of agent concentration in solution, we could identify the real diffusion times for water and agent. These values allowed for the calculation of the correspondent diffusion coefficients for those fluids. With these results, we have demonstrated that the dehydration mechanism is the one that dominates optical clearing in the first minute of treatment, while the RI matching takes over the optical clearing operations after that and remains for a longer time of treatment up to about 10 min, as we could see for EG and thin tissue samples of 0.5 mm.
Resumo:
The study of agent diffusion in biological tissues is very important to understand and characterize the optical clearing effects and mechanisms involved: tissue dehydration and refractive index matching. From measurements made to study the optical clearing, it is obvious that light scattering is reduced and that the optical properties of the tissue are controlled in the process. On the other hand, optical measurements do not allow direct determination of the diffusion properties of the agent in the tissue and some calculations are necessary to estimate those properties. This fact is imposed by the occurrence of two fluxes at optical clearing: water typically directed out of and agent directed into the tissue. When the water content in the immersion solution is approximately the same as the free water content of the tissue, a balance is established for water and the agent flux dominates. To prove this concept experimentally, we have measured the collimated transmittance of skeletal muscle samples under treatment with aqueous solutions containing different concentrations of glucose. After estimating the mean diffusion time values for each of the treatments we have represented those values as a function of glucose concentration in solution. Such a representation presents a maximum diffusion time for a water content in solution equal to the tissue free water content. Such a maximum represents the real diffusion time of glucose in the muscle and with this value we could calculate the corresponding diffusion coefficient.