Theoretical and Numerical Approach to "Magic Angle" of Stone Skipping
Library Home || Full Table of Contents || Library Help
|Shin-ichiro Nagahiro and Yoshinori Hayakawa, Department of Physics, Tohoku University, Japan|
|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|
|Resource Types:||Video, Simulations, Articles, Recreations|
|Math Topics:||Ordinary Differential Equations, Fluid Mechanics, Mechanics of Particle Systems|
© 1994- The Math Forum at NCTM. All rights reserved.