Difference between revisions of "Fluid rope trick investigated"

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[[Image:Fritz honey1.png|thumb|400px|Fig.1 A slightly more reproducable version of the honey-toast problem: silicon oil filament coiling due to abuckling instability.]]
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Original entry by Joerg Fritz, AP225 Fall 2009  
 
Original entry by Joerg Fritz, AP225 Fall 2009  
  
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== Summary ==
 
== Summary ==
 
[[Image:Fritz honey1.png|thumb|400px|Fig.1 A slightly more reproducable version of the honey-toast problem: silicon oil filament coiling due to abuckling instability.]]
 
  
 
This paper studies a very rich problem at the interface between fluid dynamics and classical mechanics that can be observed in thousands of household every morning. If honey is poured from a sufficient height, it approaches the morning toast as a thin
 
This paper studies a very rich problem at the interface between fluid dynamics and classical mechanics that can be observed in thousands of household every morning. If honey is poured from a sufficient height, it approaches the morning toast as a thin

Revision as of 07:19, 5 December 2009

Fig.1 A slightly more reproducable version of the honey-toast problem: silicon oil filament coiling due to abuckling instability.

Original entry by Joerg Fritz, AP225 Fall 2009

Source

"Fluid rope trick investigated"

L. Mahadevan, W.S. Ryu, A.D.T. Samuel: Nature, 1998, 392, pp 140 to 141

Keywords

Buckling, Viscosity, Surface tension, Instability

Summary

This paper studies a very rich problem at the interface between fluid dynamics and classical mechanics that can be observed in thousands of household every morning. If honey is poured from a sufficient height, it approaches the morning toast as a thin filament which twists and whirls steadily even if the pouring hand is completely static. This can be explained by the theory of buckling with very simple scaling laws.

The Math

Fig.2 Plot of normalized coiling frequency over the radius of the falling filament.

What sets the speed with which the honey rotates? We could imagine up to six parameters that could have an influence on the rotation speed. On an intuitive basis it could depend on

Conclusion

working on it