Self-propulsion of a spherical body shedding coaxial vortex rings in an ideal fluid: Hamiltonian modeling and simulation

2012 ◽  
Author(s):  
P. Tallapragada ◽  
Scott David Kelly ◽  
T. Bhattacharya ◽  
M. J. Fairchild
Keyword(s):  
Modeling And Simulation ◽  
Ideal Fluid ◽  
Spherical Body ◽  
Vortex Rings

scholarly journals Spherical vortices in rotating fluids

2018 ◽  
Vol 846 ◽  
Author(s):  
M. M. Scase ◽  
H. L. Terry
Keyword(s):  
Ideal Fluid ◽  
Rotation Rate ◽  
Wave Motion ◽  
Infinite Family ◽  
Vortex Rings ◽  
Rotating Fluids ◽  
Critical Rotation ◽  
Spherical Vortex ◽  
Inertial Wave ◽  
Special Case

A popular model for a generic fat-cored vortex ring or eddy is Hill’s spherical vortex (Phil. Trans. R. Soc. A, vol. 185, 1894, pp. 213–245). This well-known solution of the Euler equations may be considered a special case of the doubly infinite family of swirling spherical vortices identified by Moffatt (J. Fluid Mech., vol. 35 (1), 1969, pp. 117–129). Here we find exact solutions for such spherical vortices propagating steadily along the axis of a rotating ideal fluid. The boundary of the spherical vortex swirls in such a way as to exactly cancel out the background rotation of the system. The flow external to the spherical vortex exhibits fully nonlinear inertial wave motion. We show that above a critical rotation rate, closed streamlines may form in this outer fluid region and hence carry fluid along with the spherical vortex. As the rotation rate is further increased, further concentric ‘sibling’ vortex rings are formed.

Head-on collision of two coaxial vortex rings in an ideal fluid

1990 ◽  
Vol 24 (4) ◽  
pp. 538-541 ◽  
Author(s):  
A. A. Gurzhii ◽  
M. Yu. Konstantinov
Keyword(s):  
Ideal Fluid ◽  
Vortex Rings

Vortex rings in an ideal fluid

2010 ◽  
pp. 274-285
Author(s):  
Antonio Ambrosetti ◽  
Andrea Malchiodi
Keyword(s):  
Ideal Fluid ◽  
Vortex Rings

Interaction of coaxial vortex rings in an ideal fluid

1988 ◽  
Vol 23 (2) ◽  
pp. 224-229 ◽  
Author(s):  
A. A. Gurzhii ◽  
M. Yu. Konstantinov ◽  
V. V. Meleshko
Keyword(s):  
Ideal Fluid ◽  
Vortex Rings

scholarly journals Existence of steady vortex rings in an ideal fluid

1989 ◽  
Vol 2 (2) ◽  
pp. 183-186 ◽  
Author(s):  
Antonio Ambrosetti ◽  
Michael Struwe
Keyword(s):  
Ideal Fluid ◽  
Vortex Rings

scholarly journals A global theory of steady vortex rings in an ideal fluid

1974 ◽  
Vol 132 (0) ◽  
pp. 13-51 ◽  
Author(s):  
L. E. Fraenkel ◽  
M. S. Berger
Keyword(s):  
Ideal Fluid ◽  
Vortex Rings ◽  
Global Theory
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