Nonlinear oscillations in discrete and continuous systems

The first thesis topic is a perturbation method for resonantly coupled nonlinear oscillators. By successive near-identity transformations of the original equations, one obtains new equations with simple structure that describe the long time evolution of the motion. This technique is related to two-timing in that secular terms are suppressed in the transformation equations. The method has some important advantages. Appropriate time scalings are generated naturally by the method, and don't need to be guessed as in two-timing. Furthermore, by continuing the procedure to higher order, one extends (formally) the time scale of valid approximation. Examples illustrate these claims. Using this method, we investigate resonance in conservative, non-conservative and time dependent problems. Each example is chosen to highlight a certain aspect of the method.

The second thesis topic concerns the coupling of nonlinear chemical oscillators. The first problem is the propagation of chemical waves of an oscillating reaction in a diffusive medium. Using two-timing, we derive a nonlinear equation that determines how spatial variations in the phase of the oscillations evolves in time. This result is the key to understanding the propagation of chemical waves. In particular, we use it to account for certain experimental observations on the Belusov-Zhabotinskii reaction.

Next, we analyse the interaction between a pair of coupled chemical oscillators. This time, we derive an equation for the phase shift, which measures how much the oscillators are out of phase. This result is the key to understanding M. Marek's and I. Stuchl's results on coupled reactor systems. In particular, our model accounts for synchronization and its bifurcation into rhythm splitting.

Finally, we analyse large systems of coupled chemical oscillators. Using a continuum approximation, we demonstrate mechanisms that cause auto-synchronization in such systems.

Plasma-Arc Technology For The Thermal Treatment Of Chemical Wastes

Plasma-arc technology was developed to dispose of chemical wastes from a chemical plant by the Institute of Mechanics, Chinese Academy of Sciences (CAS-IMECH). A pilot plant system with this technology was constructed to destroy two types of chemical wastes. The system included shredding, mixing, and feeding subsystems, a plasma-arc reactor of 150 kW, an off-gas burning subsystem, and a scrubbing subsystem. The additives (CaO, SiO2, and Fe) were added into the reactor to form vitrified slag and capture the hazardous elements. The molten slag was quickly quenched to form an amorphous glassy structure. A direct current (DC) experimental facility of 30kW with plasma-arc technology was also set up to study the pyrolysis process in the laboratory, and the experimental results showed the cooling speed is the most important factor for good vitrified structure of the slag. According to previous tests, the destruction and removal efficiency (DRE) for these chemical wastes was more than 99.999%, and the polychlorinated biphenyls (PCBs) concentration in the solid residues was in the range of 1.28 to 12.9mg/kg, which is far below the Chinese national emission limit for the hazardous wastes. A simplified electromagneto model for numerical simulation was developed to predict the temperature and velocity fields. This model can make satisfactory maximum temperature and velocity distributions in the arc region, as well as the results by the magneto hydrodynamic approach.

Influence of HCl on CO and NO emissions in combustion

The influence of HCl on CO and NO emissions was experimentally investigated in an entrained flow reactor (EFR) and an internally circulating fluidized bed (ICFB). The results in EFR show the addition of HCl inhibits CO oxidation and NO formation at 1073 K and 1123 K. At the lower temperature (1073 K) the inhibition of HCl becomes more obvious. In ICFB, chlorine-containing plastic (PVC) was added to increase the concentration of HCl during the combustion of coal or coke. Results show that HCl is likely to enhance the reduction of NO and N2O. HCl greatly increases CO and CH4 emission in the flue gas. A detailed mechanism of CO/NO/HCl/SO2 system was used to model the effect of HCl in combustion. The results indicate that HCl not only promotes the recombination of radicals O, H, and OH, but also accelerates the chemical equilibration of radicals. The influence of HCl on the radicals mainly occurs at 800-1200 K. (C) 2009 Elsevier Ltd. All rights reserved.

The formation mechanism of low leaching glassy slag during plasma arc vitrification treatment of fly ash

In this paper, the glass formation theory is applied to study the formation mechanism of the low leaching glassy slag during the process of plasma waste treatment. The research shows that SiO2 acts as network former to form a 3-dimensional Si-O tetrahedral network in which heavy metals are bonded or encapsulated, so the Si-O tetrahedron protect heavy metals against leaching from the vitrified slag or acid corrosion. For given chemical compositions of waste, the formation ability of the vitrified slag can be represented by the ratio of the whole oxygen ions to the whole network former ions in glass (O/Si) which is appropriate in the range of 2~3. A plasma arc reactor is used to conduct the vitrification experiments of two kinds of fly ashes with additives in which effects of various parameters including arc power, cooling speed, treatment temperature are studied. The chemical compositions of fly ashes are analyzed by X-ray fluorescence (XRF) spectrometry. The experimental results show that both cooling speed and O/Si have important influence on the formation of the vitrified slag, which is qualitatively in accordance with the predictions of the glass formation theory.

Electrical, electrochemical, and optical characterization of ceria films

Acceptor-doped ceria has been recognized as a promising intermediate temperature solid oxide fuel cell electrode/electrolyte material. For practical implementation of ceria as a fuel cell electrolyte and for designing model experiments for electrochemical activity, it is necessary to fabricate thin films of ceria. Here, metal-organic chemical vapor deposition was carried out in a homemade reactor to grow ceria films for further electrical, electrochemical, and optical characterization. Doped/undoped ceria films are grown on single crystalline oxide wafers with/without Pt line pattern or Pt solid layer. Deposition conditions were varied to see the effect on the resultant film property. Recently, proton conduction in nanograined polycrystalline pellets of ceria drew much interest. Thickness-mode (through-plane, z-direction) electrical measurements were made to confirm the existence of proton conductivity and investigate the nature of the conduction pathway: exposed grain surfaces and parallel grain boundaries. Columnar structure presumably favors proton conduction, and we have found measurable proton conductivity enhancement. Electrochemical property of gas-columnar ceria interface on the hydrogen electrooxidation is studied by AC impedance spectroscopy. Isothermal gas composition dependence of the electrode resistance was studied to elucidate Sm doping level effect and microstructure effect. Significantly, preferred orientation is shown to affect the gas dependence and performance of the fuel cell anode. A hypothesis is proposed to explain the origin of this behavior. Lastly, an optical transmittance based methodology was developed to obtain reference refractive index and microstructural parameters (thickness, roughness, porosity) of ceria films via subsequent fitting procedure.

Discovery of non-zero neutrino mixing angle θ_13 using Daya Bay antineutrino detectors

The Daya Bay Reactor Antineutrino Experiment observed the disappearance of reactor $\bar{\nu}_e$ from six $2.9~GW_{th}$ reactor cores in Daya Bay, China. The Experiment consists of six functionally identical $\bar{\nu}_e$ detectors, which detect $\bar{\nu}_e$ by inverse beta decay using a total of about 120 metric tons of Gd-loaded liquid scintillator as the target volume. These $\bar{\nu}_e$ detectors were installed in three underground experimental halls, two near halls and one far hall, under the mountains near Daya Bay, with overburdens of 250 m.w.e, 265 m.w.e and 860 m.w.e. and flux-weighted baselines of 470 m, 576 m and 1648 m. A total of 90179 $\bar{\nu}_e$ candidates were observed in the six detectors over a period of 55 days, 57549 at the Daya Bay near site, 22169 at the Ling Ao near site and 10461 at the far site. By performing a rate-only analysis, the value of $sin^2 2\theta_{13}$ was determined to be $0.092 \pm 0.017$.

The Flocculation of E. coli with Polyethyleneimine

A comprehensive study was made of the flocculation of dispersed E. coli bacterial cells by the cationic polymer polyethyleneimine (PEI). The three objectives of this study were to determine the primary mechanism involved in the flocculation of a colloid with an oppositely charged polymer, to determine quantitative correlations between four commonly-used measurements of the extent of flocculation, and to record the effect of varying selected system parameters on the degree of flocculation. The quantitative relationships derived for the four measurements of the extent of flocculation should be of direct assistance to the sanitary engineer in evaluating the effectiveness of specific coagulation processes.

A review of prior statistical mechanical treatments of absorbed polymer configuration revealed that at low degrees of surface site coverage, an oppositely- charged polymer molecule is strongly adsorbed to the colloidal surface, with only short loops or end sequences extending into the solution phase. Even for high molecular weight PEI species, these extensions from the surface are theorized to be less than 50 Å in length. Although the radii of gyration of the five PEI species investigated were found to be large enough to form interparticle bridges, the low surface site coverage at optimum flocculation doses indicates that the predominant mechanism of flocculation is adsorption coagulation.

The effectiveness of the high-molecular weight PEI species 1n producing rapid flocculation at small doses is attributed to the formation of a charge mosaic on the oppositely-charged E. coli surfaces. The large adsorbed PEI molecules not only neutralize the surface charge at the adsorption sites, but also cause charge reversal with excess cationic segments. The alignment of these positive surface patches with negative patches on approaching cells results in strong electrostatic attraction in addition to a reduction of the double-layer interaction energies. The comparative ineffectiveness of low-molecular weight PEI species in producing E. coli flocculation is caused by the size of the individual molecules, which is insufficient to both neutralize and reverse the negative E.coli surface charge. Consequently, coagulation produced by low molecular weight species is attributed solely to the reduction of double-layer interaction energies via adsorption.

Electrophoretic mobility experiments supported the above conclusions, since only the high-molecular weight species were able to reverse the mobility of the E. coli cells. In addition, electron microscope examination of the seam of agglutination between E. coli cells flocculation by PEI revealed tightly- bound cells, with intercellular separation distances of less than 100-200 Å in most instances. This intercellular separation is partially due to cell shrinkage in preparation of the electron micrographs.

The extent of flocculation was measured as a function of PEl molecular weight, PEl dose, and the intensity of reactor chamber mixing. Neither the intensity of mixing, within the common treatment practice limits, nor the time of mixing for up to four hours appeared to play any significant role in either the size or number of E.coli aggregates formed. The extent of flocculation was highly molecular weight dependent: the high-molecular-weight PEl species produce the larger aggregates, the greater turbidity reductions, and the higher filtration flow rates. The PEl dose required for optimum flocculation decreased as the species molecular weight increased. At large doses of high-molecular-weight species, redispersion of the macroflocs occurred, caused by excess adsorption of cationic molecules. The excess adsorption reversed the surface charge on the E.coli cells, as recorded by electrophoretic mobility measurements.

Successful quantitative comparisons were made between changes in suspension turbidity with flocculation and corresponding changes in aggregate size distribution. E. coli aggregates were treated as coalesced spheres, with Mie scattering coefficients determined for spheres in the anomalous diffraction regime. Good quantitative comparisons were also found to exist between the reduction in refiltration time and the reduction of the total colloid surface area caused by flocculation. As with turbidity measurements, a coalesced sphere model was used since the equivalent spherical volume is the only information available from the Coulter particle counter. However, the coalesced sphere model was not applicable to electrophoretic mobility measurements. The aggregates produced at each PEl dose moved at approximately the same vlocity, almost independently of particle size.

PEl was found to be an effective flocculant of E. coli cells at weight ratios of 1 mg PEl: 100 mg E. coli. While PEl itself is toxic to E.coli at these levels, similar cationic polymers could be effectively applied to water and wastewater treatment facilities to enhance sedimentation and filtration characteristics.

Neutron slowing down with inelastic scattering

The emphasis in reactor physics research has shifted toward investigations of fast reactors. The effects of high energy neutron processes have thus become fundamental to our understanding, and one of the most important of these processes is nuclear inelastic scattering. In this research we include inelastic scattering as a primary energy transfer mechanism, and study the resultant neutron energy spectrum in an infinite medium. We assume that the moderator material has a high mass number, so that in a laboratory coordinate system the energy loss of an inelastically scattered neutron may be taken as discrete. It is then consistent to treat elastic scattering with an age theory expansion. Mathematically these assumptions lead to balance equations of the differential-difference type.

The steady state problem is explored first by way of Laplace transformation of the energy variable. We then develop another steady state technique, valid for multiple inelastic level excitations, which depends on the level structure satisfying a physically reasonable constraint. In all cases the solutions we generate are compared with results obtained by modeling inelastic scattering with a separable, evaporative kernel.

The time dependent problem presents some new difficulties. By modeling the elastic scattering cross section in a particular way, we generate solutions to this more interesting problem. We conjecture the method of characteristics may be useful in analyzing time dependent problems with general cross sections. These ideas are briefly explored.

Utilização da eletrofloculação para tratamento de água de produção

A demanda para tratamento de efluentes industriais tem sido maior a cada dia e a indústria tem buscado melhoria constante nos processos para tratamento. Nesse contexto, a eletrofloculação surge como uma técnica promissora, devido à sua eficiência, econômica e ambiental, com possibilidade de reuso da água. O presente trabalho tem como objetivo estudar o tratamento de água de produção de plataforma de petróleo, pelo processo de eletrofloculação, em reator batelada, com eletrodo de alumínio. Foi avaliada a influência de parâmetros como: condutividade, pH, intensidade de corrente aplicada e tempo de operação. O estudo teve foco na remoção de poluentes como óleos e graxas, cor, turbidez e boro. Os resultados alcançados indicam que o processo de eletrofloculação, nas condições operacionais estudadas, é uma alternativa tecnicamente viável para a remoção de óleos e graxas, cor e turbidez, obtendo remoção média de 84%, 83% e 83%, respectivamente. Entretanto, não foi observada eficiência na remoção de boro

Obtenção de biodiesel por transesterificação enzimática de óleo de soja com etanol empregando t-butanol como solvente

Neste estudo foi investigada a alcoólise enzimática do óleo de soja com etanol, utilizando t-butanol como solvente e enzimas imobilizadas Lipozyme TL IM, Lipozyme RM IM e Novozym 435 como catalisadores. As reações foram realizadas em um reator batelada fechado acoplado a um condensador e com constante agitação. Foram avaliadas a influência do t-butanol, do tipo de enzima utilizada, da razão molar álcool/óleo e da temperatura no rendimento em biodiesel. A etanólise do óleo de soja por sucessivas adições de álcool foi investigada e as melhores condições foram obtidas em presença de t-butanol, razão molar etanol/óleo igual a 3, temperatura de 50C e 5% (m/m) de Novozym 435. Nas reações conduzidas em presença de t-butanol não foram observadas diferenças significativas entre a adição direta e a escalonada do álcool. Os efeitos da adição de álcool só foram observados na ausência de t-butanol. O rendimento máximo em ésteres etílicos atingido foi cerca de 66% após 4h de reação com Novozym 435 na presença de solvente.

Modificação química da poliacrilonitrila com grupos tetrazol assistida por micro-ondas

Nos últimos anos, a irradiação por micro-ondas tem sido cada vez mais usada na síntese de varias moléculas orgânicas, devido a uma série de vantagens que essa nova tecnologia apresenta. Até o momento, existem poucos estudos sobre polimerizações assistidas por micro-ondas e menos ainda sobre a modificação de polímeros usando essa nova fonte de energia. Polímeros heterocíclicos contendo anéis azóicos, como o tetrazol possuem interesse acadêmico e comercial devido as suas várias aplicações. Nesta Dissertação foi estuda a modificação química da poliacrilonitrila pela incorporação em sua cadeia polimérica de 10% de grupos tetrazol empregando-se a irradiação de micro-ondas e o método convencional (térmico). Foram utilizados um forno de micro-ondas doméstico e um reator de micro-ondas monomodo nas reações assistidas por micro-ondas. As reações em reator foram realizadas em vaso aberto, em solução (DMF) ou em massa, sendo variado o tempo e a temperatura reacional, bem como a potência do equipamento. Os copolímeros produzidos foram caracterizados por espectroscopia na região do infravermelho (FTIR) e os teores de grupos tetrazol incorporados na PAN foram determinados por titulometria de neutralização. A poliacrilonitrila foi modificada quimicamente com sucesso tanto no forno doméstico quanto no reator de micro-ondas, como foi verificado pela sua análise de FTIR. Pela determinação do grau de incorporação de grupos tetrazol nos polímeros concluiu-se que, para a reação em solução, nas temperaturas mais elevas, bem como em uma potência maior, o teor de heterocíclico incorporado no polímero está muito próximo do valor obtido pelo método convencional. Já as reações conduzidas em massa apresentaram graus de incorporação inferiores as das feitas em solução.

Catalisadores à base de platina frente a correntes de H2 contendo acetaldeído geradas via reforma do etanol

Devido ao efeito estufa, a produção de hidrogênio a partir da reação de reforma do bioetanol tem se tornado um assunto de grande interesse em catálise heterogênea. Os catalisadores à base de Pt são empregados nos processos de purificação de H2 e também em eletrocatalisadores das células a combustível do tipo membrana polimérica (PEMFC). O hidrogênio obtido a partir da reforma do etanol contém como contaminante o acetaldeído e pequenas quantidades de CO. Assim, pode-se prever que muitas reações podem ocorrer na presença de catalisadores de Pt durante o processo de purificação do H2 e mesmo no próprio eletrocatalisador. Desta forma, este trabalho tem como objetivo descrever o comportamento do acetaldeído na presença de catalisadores de Pt. Para tanto foram preparados dois catalisadores, Pt/SiO2 e Pt/USY, contendo 1,5% de metal em ambos. Também foi estudado um eletrocatalisador (comercial) de Pt suportado em carvão (Pt/C). Os catalisadores foram caracterizados através das técnicas de análise textural, difração de raios X (DRX), quimissorção de H2, reação de desidrogenação do ciclohexano, espectroscopia no infravermelho de piridina adsorvida, dessorção a temperatura programada de n-butilamina (TPD de n-butilamina), dessorção a temperatura programada de CO2 (TPD-CO2), análise termogravimétrica, microscopia eletrônica de varredura (MEV) e espectroscopia de dispersão de energia (EDS). Os testes catalíticos foram realizados entre as temperaturas de 50 e 350 C em corrente contendo acetaldeído, H2 e N2. Foi observado que as propriedades ácido-básicas dos suportes promovem as reações de condensação com formação de éter etílico e acetato de etila. O acetaldeído em catalisadores de Pt sofre quebra das ligações C-C e C=O. A primeira ocorre em uma ampla faixa de temperaturas, enquanto a segunda apenas em temperaturas abaixo de 200 C. A quebra da ligação C-C produz metano e CO. Já a quebra da ligação C=O gera carbono residual nos catalisadores, assim como espécies oxigênio, que por sua vez são capazes de eliminar o CO da superfície dos catalisadores. Nota-se que o tipo de suporte utilizado influencia na distribuição de produtos, principalmente a baixas temperaturas. Além disso, constatou-se que a descarbonilação não é uma reação sensível à estrutura do catalisador. Verificou-se também a presença de resíduos sobre os catalisadores, possivelmente oriundos não somente da quebra da ligação C=O, mas também de reações de polimerização