Daniel M Anderson, Patrick R Bishop, Mark Brant, Gabriela Castaneda Guzman, Evelyn Sander and Gina Thomas
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引用次数: 0
Abstract
We explore the stability of floating objects at a two-fluid interface through mathematical modeling and experimentation. Our models are based on standard ideas of center of gravity, center of buoyancy, and Archimedes’ Principle extended to the two-fluid scenario. We investigate floating shapes with uniform, two-dimensional cross sections and identify analytically and/or computationally a potential energy landscape that helps identify stable and unstable floating orientations. We compare our analyses and computations to experiments on floating objects designed and created through 3D printing. Additionally, the paper includes open problems for further study.
我们通过数学建模和实验来探索漂浮物在双流体界面上的稳定性。我们的模型基于重心、浮力中心和阿基米德原理的标准思想，并将其扩展到双流体情景中。我们研究了具有均匀二维横截面的漂浮形状，并通过分析和/或计算确定了有助于确定稳定和不稳定漂浮方向的势能景观。我们将分析和计算结果与通过 3D 打印设计和创建的漂浮物实验进行了比较。此外，本文还包括有待进一步研究的开放性问题。
期刊介绍：
European Journal of Physics is a journal of the European Physical Society and its primary mission is to assist in maintaining and improving the standard of taught physics in universities and other institutes of higher education.
Authors submitting articles must indicate the usefulness of their material to physics education and make clear the level of readership (undergraduate or graduate) for which the article is intended. Submissions that omit this information or which, in the publisher''s opinion, do not contribute to the above mission will not be considered for publication.
To this end, we welcome articles that provide original insights and aim to enhance learning in one or more areas of physics. They should normally include at least one of the following:
Explanations of how contemporary research can inform the understanding of physics at university level: for example, a survey of a research field at a level accessible to students, explaining how it illustrates some general principles.
Original insights into the derivation of results. These should be of some general interest, consisting of more than corrections to textbooks.
Descriptions of novel laboratory exercises illustrating new techniques of general interest. Those based on relatively inexpensive equipment are especially welcome.
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Descriptions of successful and original student projects, experimental, theoretical or computational.
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Physics Education Research reports: articles that provide original experimental and/or theoretical research contributions that directly relate to the teaching and learning of university-level physics.
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