NASA Logo

NTRS

NTRS - NASA Technical Reports Server

Back to Results
Motion of a curved vortex filament with decaying vortical core and axial velocityThe motion and decay of a curved vortex filament having large axial and circumferential velocity components in a three-dimensional stream are analyzed by using the method of matched asymptotic expansions of the incompressible Navier-Stokes equations. The small parameter is the square root of the ratio of the kinematic viscosity to the circulation. The outer region is analyzed by the classical Biot-Savart law, and its solution is matched to that of the inner region, where viscous effects are important. Equations describing the coupling between the inner vortex structure and the motion of the vortex filament as well as the time evolution of the inner vortex structure are obtained. Equations are derived for the motion of the vortex filament and for the change and decay in time and space of the leading-order circumferential and axial velocity and vorticity components. Solutions are constructed for these components in terms of initial data.
Document ID
19780056988
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Callegari, A. J.
(New York, State University Purchase; New York University, New York, N.Y., United States)
Ting, L.
(New York University New York, N.Y., United States)
Date Acquired
August 9, 2013
Publication Date
July 1, 1978
Publication Information
Publication: SIAM Journal on Applied Mathematics
Volume: 35
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
78A40897
Funding Number(s)
CONTRACT_GRANT: NSG-1291
CONTRACT_GRANT: AF-AFOSR-71-2107
CONTRACT_GRANT: AF-AFOSR-73-2497
Distribution Limits
Public
Copyright
Other

Available Downloads

There are no available downloads for this record.
No Preview Available