Modal frequencies in a nonlinear beam-magnet coupled oscillator system
In this paper, I investigated the motion of a nonlinear coupled oscillator system consisting of two leaf springs secured to a non-magnetic base with magnets attached to the upper ends such they repel and are free to move. My results showed that the system exhibits the beats phenomenon, and interestingly that the frequencies show a dependence on initial conditions. I hence hypothesized this sensitivity is due to two sources of nonlinearities: geometric nonlinearity during large deflections of the leaf springs and the nonlinearity in the magnetic force. To test this hypothesis, a nonlinear mathematical model was developed, accounting for nonlinear beam effects up to third order and fully solving the nonlinear magnetic force using a current cylinder model, accounting for the tilting of the magnets. An approximate linear model was also developed for comparison. The theoretical models were validated experimentally by investigating the dynamic motion of the springs through time, as well as how the modal frequencies in the system depend on the initial displacement, the length of the spring, and the distance between the springs. The more accurate nonlinear model I derived shows good agreement with experimental results while the linear theory does not, highlighting the importance of nonlinearities in this system. An improved understanding of these nonlinear systems could lead to advancements in design and efficiency, and safety in various applications such as energy harvesting.
Development of Electrical Shielding system for auto dust removal for solar PV modules
Currently, Large-scale solar PV systems installations are taking place in the desert environment and space to harness abundant solar energy effectively. Dust accumulation on the surface of photovoltaic panels (PV) is the most stignant problem for photovoltaic panels, as dust deposition reduces PV problem energy generation efficiency significantly. Thus, the removal of dust from the PV panels has become very important to increase the rate of energy efficiency by the PV panels. The dust particles could be reduced using traditional dust cleaning techniques. But, in the harsh and hostile desert environment, these approaches which requires a lot of water, complicated mechanical instruments, enormous logistics, and personnel. Electrodynamic dust shielding (EDS) system has been developed at our laboratory to remove dust particles from the surface of the PV panels. The EDS system has been successfully tested for dust mitigation. The unique features of our EDS System is that it is cost effective, easy to install and no manpower required as it is an unmanned system. The design and construction of a single-phase electrodynamic dust repulsion device built locally in KSA is demonstrated in this study. This work showed that the optimized electrode design and electrical parameters, such as AC source voltage and frequency, maximized the EDS system's dust mitigation effectiveness. A perfect balance was achieved between the geometrical and electrical parameters of the EDS system, resulting in a dust removal efficiency of up to 92±1 ℅.
Inclined Sedimentation of Suspensions: Theoretical and Experimental Investigation into the Boycott Effect
The Boycott Effect is a phenomenon where sedimentation rate can be increased by tilting the container which holds the suspension, making it a way to increase the efficiency of the process without additional energy input. This makes the Boycott Effect valuable in speeding up and optimising a multitude of industrial applications such as wastewater management and food processing, all of which employ sedimentation to separate particulate matter from the fluids in which they are suspended in. Thus, it is imperative to model the Boycott Effect accurately for a wide range of cases, including arbitrary shaped containers and suspensions of various concentrations without the need to run costly, computationally expensive numerical simulations. In this project I investigated the inclined sedimentation of suspensions both theoretically and experimentally. Experimentally, two image tracking programs were created and tested out on my own experimental videos. I demonstrated the use of a novel method for making use of the Beer-Lambert Law to optically keep track of local concentration of suspensions. This method allows more information to be gathered about the sedimentation process in a very low-cost, non-equipment intensive or invasive way. Theoretically, I expanded upon the well-known analytical 2D PNK theory by accounting for concentration-hindering and sediment build-up effects, as well as the geometrical theory for 3D cylindrical geometries. All parts of the theoretical model were verified with experimental data and shown to have good agreement. (233 words)