Scale-invariant streamline equations and strings of singular vorticity for perturbed anisotropic solutions of the Navier-Stokes equation

Journal Article · Sat Dec 15 00:00:00 EST 2012 · Journal of Experimental and Theoretical Physics

DOI:https://doi.org/10.1134/S1063776112130055· OSTI ID:22069217

Libin, A ^[1]

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1. Netscreens Ltd. (Israel)

A linear combination of a pair of dual anisotropic decaying Beltrami flows with spatially constant amplitudes (the Trkal solutions) with the same eigenvalue of the curl operator and of a constant velocity orthogonal vector to the Beltrami pair yields a triplet solution of the force-free Navier-Stokes equation. The amplitudes slightly variable in space (large scale perturbations) yield the emergence of a time-dependent phase between the dual Beltrami flows and of the upward velocity, which are unstable at large values of the Reynolds number. They also lead to the formation of large-scale curved prisms of streamlines with edges being the strings of singular vorticity.

• OSTI ID: 22069217
• Journal Information: Journal of Experimental and Theoretical Physics, Vol. 115, Issue 6; Other Information: Copyright (c) 2012 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7761
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANISOTROPY
DISTURBANCES
EIGENVALUES
FLUID FLOW
MATHEMATICAL SOLUTIONS
NAVIER-STOKES EQUATIONS
REYNOLDS NUMBER
TIME DEPENDENCE
TRIPLETS
VELOCITY
VORTICES