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An investigation into the vortex formation in a turbulent fluid with an application in tropical storm generation
The present work discusses about a possible physical interpretation of the
occurrence of turbulence in a dynamic fluid with mathematical modeling and
computer simulation. Here turbulence is defined to be a phenomenon of random
velocity field in the space-time continuum accompanied by chaotic occurrence of
vortices. This interpretation is independent of the Navier-Stokes equations. I
have reasoned how individual fluid percels are disintegrated with increasing
Reynolds number (Re) (or increasing velocity or decreasing viscosity or both)
leading to creation of smaller parcels with arbitrary speeds in arbitrary
directions, which destroys the laminar structure of the fluid flow. I have
modeled the occurrence of a vortex as a result of collision among fluid jets
under certain conditions. Chaotic occurrence of such vortices further
randomizes the velocity field. These together ultimately lead to turbulence. I
have also shown an application of vortex formation in a dynamic fluid in
atmospheric science., where it has been shown how an initial dusturbing
cyclonic vortex is created by collision between two linear wind jets under
certain conditions, which under favorable conditions, may mature into a severe
tropical storm. Then a three dimensional mathematical modeling of the vortex
(assuming that it is going to become a matured storm) has been proposed with
computer simulations. This helps us to understand the mystery of origin of
cyclonic and anticyclonic vortices in atmosphere and some of their observed
asymmetries.Comment: 14 pages, 5 figure, electronically submitted to the Journal of Fluid
Mechanics on 23 September 2003 (submission no. WRY 122