Date of Award
5-2024
Document Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
Department
Mechanical Engineering
Committee Chair/Advisor
Joshua Bostwick
Committee Member
Konstantin Kornev
Committee Member
Zhen Li
Committee Member
Phanindra Tallapragada
Abstract
Capillary surfaces are defined by an interface endowed with surface tension that is partially supported by a solid substrate and are susceptible to oscillations reflecting a balance between fluid inertia and the restorative force of surface tension. The wave dynamics strongly depend upon volume change within the domain and edge effects through the boundary conditions applied at the contact-line formed at the liquid-gas-solid interface, while the spatial wave structure conforms to the geometry of the capillary surface. This dissertation develops mathematical models to address these effects for several canonical capillary surfaces, which are organized into two parts that are focused on natural oscillations and parametric oscillations, respectively.
Recommended Citation
Ding, Dingqian, "Oscillations of Capillary Surfaces with Volume and Edge Effects" (2024). All Dissertations. 3622.
https://tigerprints.clemson.edu/all_dissertations/3622
Author ORCID Identifier
0000-0001-9963-5329