Search

The Online Encyclopedia and Dictionary

 
     
 

Encyclopedia

Dictionary

Quotes

 

Denny's paradox

In the study of animal locomotion, Denny's paradox refers to the apparent impossibility of surface-dwelling animals such as the water strider generating enough propulsive force to move. It is named for Mark Denny .

If capillary waves are assumed to generate the momentum transfer to the water, the animal's legs must move faster than the phase speed cm of the waves, given by

c_m=\left(4g\sigma/\rho\right)^{1/4}

where g is the gee, σ is the strength of surface tension, and ρ the density of water. For standard conditions, this works out to be about 0.23 m/s.

Infant water striders' legs move at speeds much less than this and, according to this physical picture, cannot move. For a resolution of Denny's paradox, see water strider.

Last updated: 05-22-2005 03:00:36
The contents of this article are licensed from Wikipedia.org under the GNU Free Documentation License. How to see transparent copy