Drexel dragonThe Math Forum

The Math Forum Internet Mathematics Library

Theoretical and Numerical Approach to "Magic Angle" of Stone Skipping

Library Home || Full Table of Contents || Library Help

Visit this site: http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PRLTAO000094000017174501000001&idtype=cvips&gifs=yes

Author:Shin-ichiro Nagahiro and Yoshinori Hayakawa, Department of Physics, Tohoku University, Japan
Description: As published in the American Physical Society's Physical Review Letters: Nagahiro and Hayakawa "... investigate the condition for the bounce of circular disks which obliquely impacts on the fluid surface. An experiment [C. Clanet, F. Hersen, and L. Bocquet, Nature (London) 427, 29 (2004)] revealed that there exists a 'magic angle' of 20° between a disk's face and water surface in which the condition of the lowest impact speed necessary for a bounce is minimized. We perform a three-dimensional simulation of the disk-water impact by means of the smoothed particle hydrodynamics. Furthermore, we analyze the impact with a model of the ordinary differential equation (ODE).... The analysis with the ODE model gives us a theoretical insight into the 'magic angle' of stone skipping." Download the full article as a PDF or compressed PostScript file. Also, watch an mpg of their simulation.

Levels: High School (9-12), College, Research
Languages: English
Resource Types: Video, Simulations, Articles, Recreations
Math Topics: Ordinary Differential Equations, Fluid Mechanics, Mechanics of Particle Systems

[Privacy Policy] [Terms of Use]

Home || The Math Library || Quick Reference || Search || Help

© 1994- The Math Forum at NCTM. All rights reserved.