Free surface of a liquid in a rotating frame with time-depend velocity
Physics Education
2019-08-14 v2 Fluid Dynamics
Abstract
The shape of liquid surface in a rotating frame depends on the angular velocity. In this experiment, a fluid in a rectangular container with a small width is placed on a rotating table. A smartphone fixed to the rotating frame simultaneously records the fluid surface with the camera and also, thanks to the built-in gyroscope, the angular velocity. When the table starts rotating the surface evolves and develops a parabolic shape. Using video analysis we obtain the surface's shape: concavity of the parabole and height of the vertex. Experimental results are compared with theoretical predictions. This problem contributes to improve the understanding of relevant concepts in fluid dynamics.
Keywords
Cite
@article{arxiv.1908.04256,
title = {Free surface of a liquid in a rotating frame with time-depend velocity},
author = {Martín Monteiro and Fernando Tornaría and Arturo C. Marti},
journal= {arXiv preprint arXiv:1908.04256},
year = {2019}
}
Comments
9 pages, 6 figures, minor typos solved