An Elastic Model for Lagrangian Turbulence and Diffusion

M.S. El Naschie Cornell University, Sibley School of Mechanical and Aerospace Engineering, Ithaca N.Y. 14853, USA

Received: Juni 25, 1990

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Using a special analogy to a parametrically forced mathematical pendulum with energy flux, it is attempted here to model the vortex wake in a fluid due to the movement of a cylindrical solid body. We also show that the path taken by certain fluid particles represents a homoclinic soliton and corresponds to a spacial separatrix. This in turn may lead through deterministic fluctuation to diffusion-like chaotic motion.

DOI: 10.12693/APhysPolA.79.757 PACS numbers: 03.40.Gc