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Porous Medium Convection At Large Rayleigh Number: Studies Of Coherent Structure, Transport, And Reduced Dynamics, Baole Wen

Doctoral Dissertations

Buoyancy-driven convection in fluid-saturated porous media is a key environmental and technological process, with applications ranging from carbon dioxide storage in terrestrial aquifers to the design of compact heat exchangers. Porous medium convection is also a paradigm for forced-dissipative infinite-dimensional dynamical systems, exhibiting spatiotemporally chaotic dynamics if not ``true" turbulence. The objective of this dissertation research is to quantitatively characterize the dynamics and heat transport in two-dimensional horizontal and inclined porous medium convection between isothermal plane parallel boundaries at asymptotically large values of the Rayleigh number $Ra$ by investigating the emergent, quasi-coherent flow. This investigation employs a complement of direct …

Mathematical Analysis Of Energy Harvester Model, Oleksandr Vdovyn

Master's Theses and Capstones

Energy Harvesting from ambient waste energy for the purpose of running low-powered electronics has emerged during last decades. The goal of energy harvesting devices is to provide remote sources of electrical power and/or recharge storage devices such as batteries and capacitors.

The evolution of low-power-consuming electronics have led to and active academic research in energy harvesting. One of the most studied areas is the use of the piezoelectric effect to convert ambient vibration into useful electrical energy. The focus of this study on placed on detailed mathematical analysis of electromechanical models of piezoelectric energy harvester. The area of vibration-based energy …