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I många mikrovågsugnar finns grillelement som kan färgsätta matens yta. Vissa kommande modeller av mikrovågsugnar planeras vara utan roterande tallrik och maten blir då stillastående. Därför måste grillelementen och tillhörande reflektorer optimeras så värmestrålningen om möjligt blir jämnt fördelad i ugnen. Syftet med examensarbetet är att undersöka hur värmestrålningen i ugnarna kan beräknas så optimeringar kan göras. Värmestrålningen i en befintlig mikrovågsugn har simulerats och mätts. Simuleringarna och mätningarna visar att värmestrålningens fördelning bör kunna beräknas med tillräcklig noggrannhet då quartzglasen som omger grillelementens värmetrådar försummas, reflektionerna ansätts som diffusa och ytorna ansätts som grå. Väggarnas emissionstal har troligen mindre betydelse för strålningsfördelningen, men påverkar den absoluta strålningen. / In many microwave ovens are grill elements, which give color to the food surface. Some future models of microwave ovens are designed with no turning table and the food will therefore be stationary. The grill elements and their reflectors must therefore be optimized so the heat radiation if possible will be evenly distributed in the oven. The purpose of this work is to examine how the heat radiation in the ovens can be calculated, thus the optimization can be carried out. The heat radiation in an existing microwave oven has been simulated and measured. The simulations and measurements show that the distribution of the heat radiation should be calculated with sufficient accuracy when the quartz glass that surrounds the filament of the grill element is neglected, reflections are assumed to be diffuse and the surfaces are assumed to be mathematically grey. The emissivities of the surfaces

Integrated optics present a potentially low cost and higher performance alternative to electronics in optical communication systems. Surface plasmon waveguides (SPWGs) offer a new approach for manipulating light in integrated optical chips. SPWGs provide several advantages over dielectric waveguides. In this study, a fabrication process for SPWGs is developed. SPWGs are fabricated with various lengths and bend radii to allow for study of absorption and bending losses in the waveguides at telecommunications wavelengths (~1550nm). Finite-element method models of straight, bent, and optically coupled waveguides are developed and analyzed.

In this master’s thesis gives an overview of the finite element method (FEM) as used in electrotechnical practice. It deals with calculations of electric and magnetic fields. The task can be solved using ANSYS, FemLab, Femm, Quickfield and next software. Femm is the one I have chosen. The programs are described here, and their use is demostrated on examples. The outcome of the project is a calculation of magnetic field of a microgenerator in a stationary and dynamic field.

Polymer waveguides present a potentially low cost alternative to electronics in communication systems. Polymers offer relatively straightforward and economical fabrication when compared to conventional materials. In this study, a fabrication process for Bragg gratings in polymer waveguides was developed. Waveguides were designed using finite-element analysis, patterned via e-beam lithography, and a detailed fabrication method was developed. Surface-Plasmon Resonance (SPR) is a widely accepted method for biological and chemical sensing. Measurement of bulk refractive index changes and specific surface binding is a crucial part in any biosensing. Design and fabrication of a novel self-referencing SPR sensor is described and its functionality is tested.

<p>Fracture of silicon solar cells in photovoltaic (PV) modules are widely reported and a wellknown issue in the PV industry, since it is exposed to adverse climatic conditions and varying temperature loads. A commercial silicon solar cell is mainly composed of four different layers. This thesis investigates delamination failure and thermal fatigue failure due to alternating temperature loads using finite element method (FEM) simulation.</p> <p><br></p> <p>The delamination of the encapsulant (EVA) layer and the cell interface was simulated using</p> <p>finite element (FE) simulations in the COMSOL Multiphysics software. The adhesion between the</p> <p>layers were modeled using the cohesive zone model (CZM). The CZM parameters such as normal</p> <p>strength and penalty stiffness were used for the bilinear traction-separation law for the cohesive</p> <p>model in a 90-degree configuration. The critical energy release rate (𝐺𝐺𝑐𝑐) was experimentally calculated as one of the CZM parameters. A uniaxial tensile test of the upper layer of the cell was conducted to determine the material properties of the solar cell layers, and that information was</p> <p>later used for FE simulations. To validate the simulation, we compared the peeling force graph</p> <p>from the experiment and FE simulation, and it was found both graphs showed a maximum peeling</p> <p>force of 120 N.</p> <p><br></p> <p>Finite element simulations were also conducted to predict the stress variations in the silicon</p> <p>solar cell layer due to alternating temperatures. An alternating temperature function was developed</p> <p>using triangular waveform equations in the COMSOL Multiphysics software. For this simulation,</p> <p>a 3D model of the cell with a 90-degree peel arm was used, like in the peeling simulation. A</p> <p>maximum stress of 7.31 x 10−3 𝑁/𝑚𝑚2 was observed on the encapsulant (EVA)/cell layer, but no</p> <p>delamination was observed for the given temperature range. In future work, we plan to explore the</p> <p>calculation of fatigue life using thermal simulation to predict the reliability of a solar cell.</p>

<p>Using the finite element software FEMLAB® solutions are computed to Dirichlet problems for the Infinity-Laplace equation ∆∞(<i>u</i>) ≡ <i>u</i>²_x<i>u</i>_xx+ 2<i>u</i>_x<i>u</i>_y<i>u</i>_xy+<i>u</i>²_y<i>u</i>_yy= 0. For numerical reasons ∆<i>q</i>(<i>u</i>) = div (|▼<i>u</i>|<i>q</i>▼<i>u</i>)<i> = </i>0, which (formally) approaches as ∆∞(<i>u</i>) = 0 as <i>q</i> → ∞, is used in computation. A parametric nonlinear solver is used, which employs a variant of the damped Newton-Gauss method. The analysis of the experiments is done using the known theory of solutions to Dirichlet problems for ∆∞(<i>u</i>) = 0, which includes AMLEs (Absolutely Minimizing Lipschitz Extensions), sets of uniqueness, critical segments and lines of singularity. From the experiments one main conjecture is formulated: For Dirichlet problems, which have a non-constant boundary function, it is possible to predict the structure of the lines of singularity in solutions in the Infinity-Laplace case by examining the corresponding Laplace case.</p>

Gas sensors are today used in many different application areas, and one growing future market is battery operated sensors. As many gas sensor components are heated, one major limit of the operation time is caused by the power dissipated as heat. AppliedSensor is a company that develops and produces gas sensor components, modules and solutions, among which battery operated gas sensors are one targeted market. The aim of the diploma work has been to simulate the heat transfer on a hydrogen gas sensor component and its closest surroundings consisting of a carrier mounted on a printed circuit board. The component is heated in order to improve the performance of the gas sensing element. Power dissipation occurs by all three modes of heat transfer; conduction from the component through bond wires and carrier to the printed circuit board as well as convection and radiation from all the surfaces. It is of interest to AppliedSensor to understand which factors influence the heat transfer. This knowledge will be used to improve different aspects of the gas sensor, such as the power consumption. Modeling and simulation have been performed in FEMLAB, a tool for solving partial differential equations by the finite element method. The sensor system has been defined by the geometry and the material properties of the objects. The system of partial differential equations, consisting of the heat equation describing conduction and boundary conditions specifying convection and radiation, was solved and the solution was validated against experimental data. The convection increases with the increase of hydrogen concentration. A great effort was made to finding a model for the convection. Two different approaches were taken, the first based on known theory from the area and the second on experimental data. When the first method was compared to experiments, it turned out that the theory was insufficient to describe this small system involving hydrogen, which was an unexpected but interesting result. The second method matched the experiments well. For the continuation of the project at the company, a better model of the convection would be a great improvement.

Using the finite element software FEMLAB® solutions are computed to Dirichlet problems for the Infinity-Laplace equation ∆∞(u) ≡ u2xuxx + 2uxuyuxy + u2yuyy = 0. For numerical reasons ∆q(u) = div (|▼u|q▼u) = 0, which (formally) approaches as ∆∞(u) = 0 as q → ∞, is used in computation. A parametric nonlinear solver is used, which employs a variant of the damped Newton-Gauss method. The analysis of the experiments is done using the known theory of solutions to Dirichlet problems for ∆∞(u) = 0, which includes AMLEs (Absolutely Minimizing Lipschitz Extensions), sets of uniqueness, critical segments and lines of singularity. From the experiments one main conjecture is formulated: For Dirichlet problems, which have a non-constant boundary function, it is possible to predict the structure of the lines of singularity in solutions in the Infinity-Laplace case by examining the corresponding Laplace case.

Gegenstand vorliegender Arbeit ist die Untersuchung unterschiedlicher Modellansätze zur Beschreibung der Extraktion organischer Schadstoffe aus Böden unter Verwendung von überkritischem Wasser. Dazu wurden in der Literatur vorhandene Stofftransportmodelle herangezogen und eigene Modellansätze entwickelt. Das Modell berücksichtigt die Geschwindigkeits- und Temperaturverteilung im Reaktor und berechnet daraus, in Abhängigkeit der desorptiven, diffusiven und konvektiven Stofftransportvorgänge eine Schadstoffverteilung. Zur Lösung der Modellgleichungen wurde FEMLAB 3.1 verwendet. Zur Parameterbestimmung und Modellüberprüfung wurden Extraktionsversuche an real kontaminierten Böden und an künstlich kontaminierten Modellböden durchgeführt. Einfache und komplexe chemische Gleichgewichte der organischen Schadstoffe wurden auf Basis der Gibbs Energetik mit FACTSAGE 5.2 ermittelt und dienten als weitere Inputparameter für die Modellberechnungen.