Theoretical and numerical approach to "magic angle" of stone skipping.

نویسندگان

  • Shin-ichiro Nagahiro
  • Yoshinori Hayakawa
چکیده

We 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 degrees 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). Our simulation is in good agreement with the experiment. The analysis with the ODE model gives us a theoretical insight into the "magic angle" of stone skipping.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

ar X iv : p hy si cs / 0 41 11 25 v 2 2 5 N ov 2 00 4 A theoretical and numerical

We investigate the condition for the bounce of circular disks which obliquely impacts on fluid surface. An experiment [ Clanet, C., Hersen, F. and Bocquet, L., Nature 427, 29 (2004) ] revealed that there exists a “magic angle” of 20◦ between a disk’s face and water surface in which condition the required speed for bounce is minimized. We perform three-dimensional simulation of the diskwater imp...

متن کامل

Physics of Elastic Spheres Skipping on Water

It is well known that one can skip a stone across the water surface, but less well known that a ball can also be skipped on water. The Waboba R © is an elastic ball used in a game of aquatic keep away in which players pass the ball by skipping it along the water. We investigate the physics of skipping elastic balls to elucidate the mechanisms by which they bounce off water. High speed video rev...

متن کامل

A Contemplation in Shari'a's View towards the Magic with an Approach to Mawlana's Thoughts

The magic is something with a subtle source, which is not seen with eye, and its source cannot be found in a normal way. The magic has a variety of forms that have harmful and non-harmful effects. The wizards use the latter one to deceive people. The motive for choosing this topic among other ones is that some people resort to the magic for different reasons such as: outbreaking demons for the ...

متن کامل

Experimental and numerical investigation of unsteady flow around cylinder with four plates perpendicular to it with the rotational degree of freedom

In this study, the behavior of a subject consisting of a cylinder with 4 plates perpendicular to it with a rotational degree of freedom under airflow both through the numerical approach, known as improved discrete vortex and experimental approach were investigated. The experimental and numerical results have shown that oscillating regime occurs in low velocity and length. This movement is vibra...

متن کامل

Experimental and Numerical Analysis of the Critical Buckling Load of Cracked Sheets

Collapse by buckling a quite common phenomenon in sheets under pressure. When these structures caused by defects such as corrosion and cracks the time of the occurrence of this phenomenon is sensitive and critical load to be significantly reduced. Therefore, in this article sheet of aluminum Al 1200 by cracks in a part of the sheet will be considered. Left angle on the critical buckling load ef...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:
  • Physical review letters

دوره 94 17  شماره 

صفحات  -

تاریخ انتشار 2005