The Modelling of Photovoltaic, Solar Thermal, and Photovoltaic/Thermal Domestic Hot Water Systems

Solar heating of potable water has traditionally been accomplished through the use of solar thermal (ST) collectors. With the recent increases in availability and lower cost of photovoltaic (PV) panels, the potential of coupling PV solar arrays to electrically heated domestic hot water (DHW) tanks has been considered. Additionally, innovations in the SDHW industry have led to the creation of photovoltaic/thermal (PV/T) collectors, which heat water using both electrical and thermal energy. The current work compared the performance and cost-effectiveness of a traditional solar thermal (ST) DHW system to PV-solar-electric DHW systems and a PV/T DHW system. To accomplish this, a detailed TRNSYS model of the solar hot water systems was created and annual simulations were performed for 250 L/day and 325 L/day loads in Toronto, Vancouver, Montreal, Halifax, and Calgary. It was shown that when considering thermal performance, PV-DHW systems were not competitive when compared to ST-DHW and PVT-DHW systems. As an example, for Toronto the simulated annual solar fractions of PV-DHW systems were approximately 30%, while the ST-DHW and PVT-DHW systems achieved 65% and 71% respectively. With current manufacturing and system costs, the PV-DHW system was the most cost-effective system for domestic purposes. The capital cost of the PV-DHW systems were approximately $1,923-$2,178 depending on the system configuration, and the ST-DHW and PVT system were estimated to have a capital cost of $2,288 and $2,373 respectively. Although the capital cost of the PVT-DHW system was higher than the other systems, a Present Worth analysis for a 20-year period showed that for a 250 L/day load in Toronto the Present Worth of the PV/T system was approximately $4,597, with PV-DHW systems costing approximately $7,683-$7,816 and the ST-DHW system costing $5,238.

Subfilter-scale Stress Modelling for Large Eddy Simulations

A subfilter-scale (SFS) stress model is developed for large-eddy simulations (LES) and is tested on various benchmark problems in both wall-resolved and wall-modelled LES. The basic ingredients of the proposed model are the model length-scale, and the model parameter. The model length-scale is defined as a fraction of the integral scale of the flow, decoupled from the grid. The portion of the resolved scales (LES resolution) appears as a user-defined model parameter, an advantage that the user decides the LES resolution. The model parameter is determined based on a measure of LES resolution, the SFS activity. The user decides a value for the SFS activity (based on the affordable computational budget and expected accuracy), and the model parameter is calculated dynamically. Depending on how the SFS activity is enforced, two SFS models are proposed. In one approach the user assigns the global (volume averaged) contribution of SFS to the transport (global model), while in the second model (local model), SFS activity is decided locally (locally averaged). The models are tested on isotropic turbulence, channel flow, backward-facing step and separating boundary layer. In wall-resolved LES, both global and local models perform quite accurately. Due to their near-wall behaviour, they result in accurate prediction of the flow on coarse grids. The backward-facing step also highlights the advantage of decoupling the model length-scale from the mesh. Despite the sharply refined grid near the step, the proposed SFS models yield a smooth, while physically consistent filter-width distribution, which minimizes errors when grid discontinuity is present. Finally the model application is extended to wall-modelled LES and is tested on channel flow and separating boundary layer. Given the coarse resolution used in wall-modelled LES, near the wall most of the eddies become SFS and SFS activity is required to be locally increased. The results are in very good agreement with the data for the channel. Errors in the prediction of separation and reattachment are observed in the separated flow, that are somewhat improved with some modifications to the wall-layer model.

EVIDENCE FOR MECHANICAL STRAINS INFLUENCE IN OSTEOPHYTE DEVELOPMENT

Purpose: Osteophytes are osteo-cartilaginous metaplastic tissue outgrowths of bone capped by cartilage usually found in degenerative and inflammatory joint disease. The presence and degree of maturity of osteophytes, along with joint space narrowing, are the main radiographic criteria for diagnosis and grading osteoarthritis (OA). Although osteophytes are known for being anatomic signs of advanced OA, they can occur in non-symptomatic joints, in joints with no other observable alterations, and in early stage OA. It remains unclear if they develop from molecular, physiological and/or mechanical stimuli. We hypothesized that mechanical strains play a role in osteophyte development. The overall objective of this thesis was to find evidence that osteophytes are influenced by mechanical strains. Methods: The first project was to develop a mechanically-induced osteophyte animal model. One single impact load that was reported to induce moderate joint damage was applied to the periosteum of the rat knee. Animals were sacrificed at four time points to characterize the evolution of damaged tissue and the joint by histology. A second study using human mature hip osteophytes was conducted to evaluate if mature osteophyte presented histological signs of proliferating and developmental processes. The histological characterization of mature osteophyte was used to compare findings of the mechanically-induced osteophyte in the animal model to validate the use of this rodent model in studying some aspect of osteophyte development of human. Lastly, a detailed three-dimensional (3D) radiological morphometric analysis was performed on microscopic computed tomography (µCT) scanned femoral heads collected from total hip arthroplasty patients presenting mature hip osteophytes. Quantitative morphometric measures of osteophytes internal structure was compared to three regions of the femoral head of known quality of organisation and mechanical constraint. Results and Conclusion: Osteophyte can be mechanically induced by a single load impact to the joint periosteum, indicating that a moderate trauma to the periosteal layer of the joint may play a role in osteophyte development. Mature osteophytes have proliferation, developing and remodelling zones and have trabecular structures. Mechanically-induced osteophytes and mature osteophytes presented similar histological composition. Mature osteophytes have organized internal structure. These results provide evidence that mechanical strain can influence osteophyte development.