InP-based InAlAs/InGaAs pseudomorphic High Electron Mobility Transistors (pHEMTs) have shown outstanding performance; this makes them prominent in high frequency mm-wave and submillimeter-wave applications. However, conventional InGaAs/InAlAs pHEMTs have major drawbacks, i.e., very low breakdown voltage and high gate leakage current. These disadvantages degrade device performance, especially in Monolithic Microwave Integrated Circuit (MMIC) low noise amplifiers (LNAs). The optimisation of InAlAs/InGaAs epilayer structures through advanced bandgap engineering offers a key solution to the problem. Concurrently, device modelling plays a vital role in the design and analysis of pHEMT devices and circuit performance. In this research, two-dimensional (2D) physical modelling of 1 m and sub-micro metre gate length strained channel InAlAs/InGaAs/InP pHEMTs has been developed, in ATLAS Silvaco. All modelled devices were optimised and validated by experimental devices, which were fabricated at the University of Manchester. An underlying device physics insight is gained, i.e., the effect of changes to the device's physical structure, theoretical concepts and its general operation, and a reliable pHEMT model is obtained. The kink anomalies in the I-V characteristics were reproduced. The 2D simulation results demonstrate an outstanding agreement with measured DC and RF characteristics. The aim of developing linear and non-linear models for sub-micro metre transistors and their implementation in MMIC LNA design is achieved with the 0.25 m In0.7Ga0.3As/In0.52Al0.48As/InP pHEMT. An accurate method for the extraction of empirical models for the fabricated active devices has been developed, and optimised using the Advance Design System (ADS) software. The results demonstrate excellent agreement between experimental and modelled DC and RF data. Precise models for MMIC passive devices are also obtained, and incorporated in the proposed design for a single- and double-stage MMIC LNAs at C- and X-band frequencies. The single-stage LNA is designed to achieve a maximum gain ranging from 9 to 13 dB over the band of operation, while the gain is increased to between 20 dB and 26 dB for the double-stage LNA designs. A noise figure of less than 1.2 dB and 2 dB is expected, for the C- and X-band LNAs respectively, while retaining stability across all frequency bands. Although the RF performance of pHEMT is being vigorously pushed towards the terahertz (THz) region, novel devices such as the Resonant Tunnelling Diode (RTD) are needed to support future ultra-high-speed, high-frequency applications. Hence, the study of physical modelling is extended to quantum modelling of an advanced In0.8Ga0.2As/AlAs RTD device. The aim is to effectively model both large-size and submicron RTDs, using Silvaco's ATLAS software to reproduce the peak current density, peak-to-valley-current ratio (PVCR), and negative differential resistance (NDR) voltage range. The physical modelling for the RTD devices is optimised to achieve an excellent match with the fabricated RTD devices; variations in the spacer thickness, barrier thickness, quantum well thickness and doping concentration are included.

Light detection and ranging (LiDAR) instrumentation is becoming more diverse in our world of today. One challenge in scaled physical hydrodynamic models in a laboratory setting is obtaining high resolution water surface elevation data while maintaining accuracy requirements. Accurate water surface elevations are a primary parameter in hydraulic models as they are a means of controlling/monitoring the physical model’s boundary conditions, analyzing model experiment results, and informing model conclusions. This study focuses on laser scanners that have ranging accuracies of at least +/-10 millimeters (mm) or better for the purpose of attaining LiDAR water surface elevation measurements in scaled physical hydrodynamic models in the laboratory setting using different materials on the water surface. While the current available methods have acceptable accuracies, the resolution is extremely limited. The objective of this research to improve the spatial coverage of water surface elevation measurements by using LiDAR instrumentation while maintaining acceptable error ranges.

This research has been undertaken to further our knowledge of decade-to-century timescale braided, gravel-bed river delta growth dynamics. The study included: a review of available literature; field studies; the development of microscale models for two study deltas; and the development of a simple numerical model incorporating movement of braided river channels across a delta topset (varying the location of sediment delivery to the delta). Results from the microscale modelling showed that successful physical modelling requires well-defined fixed boundaries and, ideally, good historical aerial photography for the estimation of the model time scale. A complex braided gravel-bed river delta system composed of two merging deltas entering a deep, low-energy receiving basins was able to be successfully modelled to provide valuable information on delta growth dynamics. However, a microscale model of a delta prograding into shallow receiving basins, with a large supply of fine sediment, was more difficult to calibrate and assess (partly due to limited field data), and was considered less reliable. The simple rule-based numerical model ‘DELGROW’, developed to simulate a braided river system entering a deep, low-energy body of water, requires a known sediment supply rate, as well as information on the braided river topography, submerged delta foreset, and lakebed bathymetry. Unlike simple 1-d width-averaged geometric models, DELGROW takes into consideration barriers (e.g. islands) as well as relatively complex converging braided river delta configurations. By changing the sediment supply, or modifying the river system, the response of the river system to various scenarios can also be assessed. Microscale models and DELGROW appear to realistically simulate decade-to-century timescale growth of braided gravel-bed river deltas entering a deep, low-energy, receiving basin. Both of these modelling methods initially use the supplied sediment to try and eliminate any riverbed irregularities (e.g. low areas), before continuing to advance and deposit sediment in a more evenly-distributed manner, whilst taking into consideration irregularities due to barriers, and asymmetric sediment sources such as merging deltas. Neither model can reliably predict locations of bank erosion, or channel avulsions that divert flow and sediment outside of the fixed model boundaries.

The purpose of this study is to develop mathematical models to explore the mixing and its related phenomena in converter bath. Specifically, first, a mathematical model of a physical model converter, which was scaled down to 1/6th of a 30 t vessel, was developed in this study. A number of parameters were studied and their effects on the mixing time were recorded in a top blown converter. Second, a mathematical model for a combined top-bottom blown was built to investigate the optimization process. Then, a side tuyere was introduced in the combined top-bottom blown converter and its effects on the mixing and wall shear stress were studied. Moreover, based on the above results, the kinetic energy transfer phenomena in a real converter were investigated by applying the mathematical models. A simplified model, in which the calculation region was reduced to save calculation compared to simulations of the whole region of the converter, was used in the mathematical simulation. In addition, this method was also used in the simulation of real converters. This approach makes it possible to simulate the Laval nozzle flow jet and the cavity separately when using different turbulence models. In the top blown converter model, a comparison between the physical model and the mathematical model showed a good relative difference of 2.5% and 6.1% for the cavity depth and radius, respectively. In addition, the predicted mixing time showed a good relative difference of 2.8% in comparison to the experimental data. In an optimization of a combined top-bottom blown converter, a new bottom tuyere scheme with an asymmetrical configuration was found to be one of the best cases with respect to a decreased mixing time in the bath. An industrial investigation showed that the application effects of the new tuyere scheme yield a better stirring condition in the bath compared to the original case. Furthermore, the results indicated that the mixing time for a combined top-bottom-side blown converter was decreased profoundly compared to a conventional combined top-bottom blown converter. It was found that the side wall shear stress is increased by introducing side blowing, especially in the region near the side blowing plume. For a 100 t converter in real, the fundamental aspects of kinetic energy transfer from a top and bottom gas to the bath were explored. The analyses revealed that the energy transfer is less efficient when the top lance height is lowered or the flowrate is increased in the top blowing operations. However, an inverse trend was found. Namely, that the kinetic energy transfer is increased when the bottom flowrate is increased in the current bottom blowing operations. In addition, the slag on top of the bath is found to dissipate 6.6%, 9.4% and 11.2% for the slag masses 5, 9 and 15 t compared to the case without slag on top of the surface of the bath, respectively. / <p>QC 20151015</p>

The extreme flooding event that occurred in 2013 in Alberta, Canada was at time the most costly natural hazard event in the nation’s history with damages exceeding $5 billion. Due to this event, an increased effort for flood mitigation strategies began and resulted in the proposal of the Springbank Off-Stream Storage Reservoir to divert and detain Elbow River flow upstream of the City of Calgary. In order to validate the design of the flow diversion structures, a large (1:16) scale physical model was constructed. The model tested among other things, the impact of large woody debris (LWD) on the flow diversion structures. The LWD modelling included a comparison of LWD manufactured from smooth cylindrical dowels versus natural tree limbs of the same dimensions. The results from the physical model led to a series of design changes for the diversion structures that likely would not have been identified without physical modelling. The LWD material comparison demonstrated significantly different behaviours between LWD types. Specifically, LWD manufactured from natural tree limbs was significantly more likely to accumulate in debris dams on the diversion structures. The impact of root wad was also investigated and proved to play a major role in the damming characteristics and blocking probability of debris. Following the physical model investigations, a numerical simulation was completed in order to examine further the hydrodynamic results obtained from the Springbank project. Using TELEMAC MASCARET’s open source free surface flow program TELEMAC 2D, a two dimensional simulation was completed using data from the physical model. Flowrates and velocities from both models were compared and discrepancies between the two are identified. Reasoning for these differences as well as future works for the numerical model are presented.

A physical model was built to study the properties of the feeding strike of the mantis shrimp that are responsible for drag reduction and cavitation control. The model had three goals: 1) The model was to be outfitted with a method to collect kinematic, force and cavitation data. 2) The velocity and acceleration profile of the model were to be predicted with a mathematical model of the mechanism. 3) The model was to match as many drag and cavitation sensitive properties of the mantis shrimp strike as feasible and have a means to control the rest. The first iteration of the model met the first goal but not the second or third. It matched the strike in maximum velocity, appendage size and shape and environmental temperature and salinity but did not control acceleration profile, water quality or pressure. Data collected with high-speed video of strikes of the model and Gonodactylus smithii showed the model to cavitate at speeds at which no cavitation was seen in animal strikes. The model was redesigned to be driven by the stored elastic energy in the deflection of a beam spring. The redesigned model reached the animals maximum accelerations but not velocities. Environmental variation was found to not substantially contribute to the variation in cavitation onset velocity between the model and animal experiments.

This thesis reimagines an old abandoned school in the sparsly populated mid west of Sweden. Only working through physical model trying to seek inspiration from the past through the literature of Selma Lagerlöf and the classic Allmoge-style. The goal was not to bring back the aesthetics of the past, but to find joy in it and to be lustful and playful in the creation of architecture.

Com a finalidade de estudar o comportamento de fluidos aquosos não miscíveis em água no solo, foram executados ensaios de laboratório, a construção de um modelo físico e a comparação dos dados com a simulação numérica com o programa HSSM. Os ensaios de laboratório tiveram a finalidade de obter os parâmetros do solo utilizado no modelo físico e numérico. Foram obtidas curvas de retenção do solo com concentrações de 2, 5, 10 e 15% de óleo e somente com água, para comparar o comportamento das curvas. Para o modelo físico, foi construído um tanque experimental para simular o derramamento de óleo no solo e, assim, obter uma pluma de contaminação de óleo de maneira controlada. Foram executados três ensaios com o tanque experimental, primeiro com o solo na umidade higroscópica, o segundo com um nível dágua definido, e o terceiro com o solo úmido, mas sem um nível dágua. Destes ensaios no tanque, foram coletadas amostras para a análise em laboratório das concentrações de óleo de cada parte do tanque. A partir dos resultados das curvas características foi possível observar que o óleo influencia principalmente na umidade residual. E a análise das amostras coletadas do tanque experimental indica que a concentração de óleo na pluma estava constante, com concentração de 2% de óleo. Juntando os dados colhidos dos ensaios de laboratório e do tanque experimental, foram executadas simulações da evolução da pluma de contaminação de NAPL para os três casos simulados no tanque experimental. A simulação numérica foi coerente com o modelo físico, mas foi observado que subestima a velocidade de expansão da pluma, principalmente quando o solo está com a umidade baixa. / In order to study the behavior of non-aqueous phased liquids in the soil, laboratory tests were performed, and the construction of a physical model and comparison of data obtained with the numerical simulation with the program HSSM. Laboratory tests are designed to obtain the soil parameters used in the physical and numerical model. Retention curves of soil with concentrations of 2, 5, 10 and 15% of oil and water only were obtained to compare the curves. For the physical model, an experimental tank was built to simulate the oil spill on the ground and have a contamination plume of oil with controlled conditions. Were performed three experiments with the tank, first with the hygroscopic soil moisture, the second with a defined water table, and the third with natural soil moisture, but without a water table. From these tests in the tank, samples were collected for laboratory analysis of concentrations of each part of the oil tank. From the results of the retention curves it was observed that the major oil influence was on residual moisture. And the analysis of samples collected from the experimental tank indicates that the oil concentration in the plume was constant at the concentration of 2% of oil. Combining the data collected in laboratory testing and experimental tank, numerical simulations were performed of the evolution of NAPL contamination plume for the three cases simulated in the experimental tank. The numerical simulation was consistent with the physical model, but it was observed that underestimates the rate of expansion of the contamination plume, especially when the moisture of soil is low.

O presente trabalho tem por objetivo desenvolver um aparato experimental para estudar, em modelo físico de escala reduzida, o comportamento mecânico de um duto enterrado submetido a variações do estado de tensões da massa de solo circundante e a um potencial movimento de massa gravitacional, com avaliação concomitante das deformações desenvolvidas no solo por meio da técnica de correlação de imagens digitais. A alteração do estado de tensão no maciço foi feita por meio da aplicação de incrementos de inclinação ao modelo. Foram realizados ensaios com o duto nas posições transversal e longitudinal no interior da caixa de ensaios, enterrado em areia pura e seca, com razão entre altura de cobertura e diâmetro do duto de 3,55. A compacidade do maciço, controlada por meio da utilização da técnica de chuva de areia, foi avaliada nas situações densa (D = 111,5 %) e fofa (Dr = 58,2%). O comportamento mecânico do duto foi avaliado por meio de instrumentação para medição da deformação específica e deflexão da parede, sendo verificado efeito de flexão lateral no duto disposto na transversal, com maiores deformações observadas na situação de maciço fofo. Para o duto disposto na longitudinal, maiores deformações específicas foram observadas para a seção instrumentada central na situação de maciço denso, contudo verificou-se a necessidade de realização de ensaios adicionais para elucidação dos resultados, em termos da interação solo/tubo ao longo do comprimento do elemento. Para a utilização da técnica de correlação de imagens digitais, as imagens foram adquiridas em um ambiente com iluminação padronizada e resolução de partícula igual a 4. A qualidade da textura da imagem foi garantida por meio da preparação de material com adição de 20% de areia colorida. O refinamento da malha de análise, avaliado por meio da alteração do tamanho dos subsets e espaçamento entre subsets, não exerceu grande influência nos campos de deslocamentos obtidos, porém maiores refinamentos permitiram extrair observações mais detalhadas do campo de deformações. A utilização da técnica permitiu ainda avaliar a evolução dos vetores de deslocamento ao longo das etapas de inclinação e a influência do duto enterrado, na posição transversal, nos deslocamentos das partículas de solo circundante. / The present work aims the development of an experimental apparatus to study the behavior of a buried pipe under different soil stress states and potential landslides in a small-scale physical model. Digital image correlation technique is also used to evaluate soil deformation. A controlled slope increment squeme were responsible for soil stress state changes. The tests were performed with the model pipe buried in pure dry sand with a buried depth ratio of 3.55. A series of four tests involving two pipe configurations inside the test box (transversal and longitudinal) and two relative density (111.5% and 58.2%) was conducted. Soil density was controlled by pluviation method. The model pipe was instrumented in order to evaluate its behavior in terms of linear strain and deflection of the pipe wall. For the transversely disposed pipe, it was observed lateral bending effect and larger strains when buried in loose sand. For the longitudinally diposed pipe, the largest strains occurred in the pipe central cross section and in the tests conducted in dense sand. Nevertheless, additional testing is needed to better clarify the results, in terms of soil/pipe interaction along the pipe length. Daily digital images were acquired under standardized conditions of illumination for the use of digital image correlation technique. The particle/pixel size ratio was set equal to 4. Image texture quality was improved by adding 20% colored sand to the material used in the investigation. The level of refinement of the analysis mesh, evaluated by varying the subset size and the spacing of subsets, did not shown significant effect in the displacement fields. However, finer meshes allowed more detailed observations in the engineering shear strain fields obtained. Additionally, the digital image correlation technique allowed the evaluation of the displacement vectors evolution along the different slope stages considered. Moreover, this technique also captured the effect of the transversely disposed pipe on surrounding soil particles displacements.

Hybrid models are those containing continuous and discontinuous behaviour. In constructing dynamic systems models, it is frequently desirable to abstract rapidly changing, highly nonlinear behaviour to a discontinuity. Bond graphs lend themselves to systems modelling by being multi-disciplinary and reflecting the physics of the system. One advantage is that they can produce a mathematical model in a form that simulates quickly and efficiently. Hybrid bond graphs are a logical development which could further improve speed and efficiency. A range of hybrid bond graph forms have been proposed which are suitable for either simulation or further analysis, but not both. None have reached common usage. A Hybrid bond graph method is proposed here which is suitable for simulation as well as providing engineering insight through analysis. This new method features a distinction between structural and parametric switching. The controlled junction is used for the former, and gives rise to dynamic causality. A controlled element is developed for the latter. Dynamic causality is unconstrained so as to aid insight, and a new notation is proposed. The junction structure matrix for the hybrid bond graph features Boolean terms to reflect the controlled junctions in the graph structure. This hybrid JSM is used to generate a mixed-Boolean state equation. When storage elements are in dynamic causality, the resulting system equation is implicit. The focus of this thesis is the exploitation of the model. The implicit form enables application of matrix-rank criteria from control theory, and control properties can be seen in the structure and causal assignment. An impulsive mode may occur when storage elements are in dynamic causality, but otherwise there are no energy losses associated with commutation because this method dictates the way discontinuities are abstracted. The main contribution is therefore a Hybrid Bond Graph which reflects the physics of commutating systems and offers engineering insight through the choice of controlled elements and dynamic causality. It generates a unique, implicit, mixed-Boolean system equation, describing all modes of operation. This form is suitable for both simulation and analysis.