A Global Branch of Steady Vortex Rings.

reportActive / Technical Report | Accession Number: ADA172774 | Open PDF

Abstract:

A steady vortex ring of prescribed strength and propagation speed can be described in terms of a Strokes stream function psi. A flux constant k measures the flow through the center of the axisymmetric vortex ring. For k 0, Hill in 1984 found an explicit solution for the semi-linear elliptic equation satisfied by psi. In this paper it is shown that there is an unbounded, closed, connected branch of solutions emanating from Hills vortex in the space of pairs k, psi. Author

Author(s):
Amick, C. J. ; Turner, R. E.
Author Organization(s):
WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
Descriptive Note:
Technical summary rept.,
Supplementary Note:
Sponsored in part by Grant NSF-MCS82-00406.
Pagination:
0034

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
MRC-TSR-2953
Contract/Grant Number(s):
DAAG29-80-C-0041, NSF-DMS82-03338
 Subject Terms
Joint Capability Areas:
JCA_5_Command and Control; JCA_1.2_Force Preparation; JCA_1_Force Support; JCA_1.2.3_Educating; JCA_5.3_Planning
Modernization Areas:
Fully Networked C3
Communities of Interest:
Air Platforms
Descriptor(s):
*VORTICES, *RINGS(MATHEMATICS), GLOBAL, COMPUTATIONS, AXISYMMETRIC, BIFURCATION(MATHEMATICS), STEADY FLOW
Field(s)/Group(s):
Theoretical Mathematics
Keyword(s):
*Vortex rings
Report Date:
1986 Aug 01