Bulletin of the American Physical Society
76th Annual Meeting of the Division of Fluid Dynamics
Sunday–Tuesday, November 19–21, 2023; Washington, DC
Session L31: General Fluid Dynamics: General I
8:00 AM–10:23 AM,
Monday, November 20, 2023
Room: 156
Chair: Benjamin Emerson, Georgia Institute of Technology
Abstract: L31.00001 : Mathematics of Floating 3D Printed Objects
8:00 AM–8:13 AM
Presenter:
Brandon G Barreto-Rosa
(George Mason University)
Authors:
Brandon G Barreto-Rosa
(George Mason University)
Daniel M Anderson
(George Mason University)
Evelyn Sander
(George Mason University)
Lujain Nsair
(Bryn Mawr College)
Joshua Calvano
(George Mason University)
modeling and experimentation. Our models are based on standard ideas of
center of gravity, center of buoyancy, and Archimedes' Principle. We
investigate a variety of floating shapes with two-dimensional cross sections
and identify analytically and/or computationally a potential energy landscape that
helps identify stable and unstable floating orientations. We additionally explore
the influence of changing an object's center of gravity. For objects with square
cross section, for example, this breaks the symmetry observed in the uniform density case.
We design and create 3D printed objects, float them, and compare the observations
to the theoretical predictions.
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