Analytical and numerical study of the unstable limit cycles of walking droplets
Name
1256659931-MIT.pdf
Size
1.32 MB
Format
Adobe PDF
Checksum (MD5)
206f4f4a9a83b80cd30c4cb1dcfb74fa
Author(s)
Kurzban, Benjamin(Benjamin A.)
Advisor(s)
Matthew Durey
Date Issued
2020
Publisher
Massachusetts Institute of Technology
Abstract
Recent studies have shown that a vibrating fluid bath can support a bouncing droplet, generating a pilot wave which propels the droplet into horizontal motion. Walking droplets have been demonstrated not only to follow linear trajectories, but to exhibit a range of rich dynamical behavior, including tunneling, diffraction, and orbital quantization. Current theoretical models for the walking droplet system can be difficult to analyze. Here, by reducing the dimension of the bath, a simpler model has been derived and analyzed. We summarize this derivation, explore the stability of the system's dynamical states, and provide evidence of a previously unreported homoclinic bifurcation.
Description
Thesis: S.B., Massachusetts Institute of Technology, Department of Mechanical Engineering, September, May, 2020
Cataloged from the official PDF of thesis.
Includes bibliographical references (page 8).
Subjects
Mechanical Engineering.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Terms of Use
MIT theses may be protected by copyright. Please reuse MIT thesis content according to the MIT Libraries Permissions Policy, which is available through the URL provided.
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