Date of Award
Open Access Master's Thesis
Master of Science in Mechanical Engineering (MS)
Administrative Home Department
Department of Mechanical Engineering-Engineering Mechanics
Committee Member 1
Committee Member 2
Committee Member 3
The objective of this Ph.D. project is to study the hydrodynamic response of oscillating perforated plates by utilizing analytical and numerical methods. Specifically, we will examine whether the permeable plates offer superior hydrodynamic stability than their impermeable equivalents. First, we will computationally investigate the linear hydrodynamic response of vibrating perforated plates in an unbounded domain in the asymptotic limit of small KC, i.e., KC → 0. We will simulate various porosities and aspect ratios for a wide range of oscillatory Reynolds number (denoted by β) and seek to draw a comparison between our findings and the analytical works. Next, we will study the confinement effects on the hydrodynamic performance of permeable plates, again in the linear regime. To this end, we will analytically derive the expressions for the added mass coefficient Ca and damping coefficient Cd for two types of bounding surfaces: liquid-gas interface and solid wall. We will also corroborate our analytical work with follow up numerical simulations. Finally, we will develop a theoretical-computational framework to study the effects of finite KC. We will summarize our findings in the form of performance regime charts.
Usman, Muhammad, "Hydrodynamics of Vibrating Perforated Plates", Open Access Master's Thesis, Michigan Technological University, 2021.