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

Abstract

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.

Authors:
 [1]
  1. Netscreens Ltd. (Israel)
Publication Date:
OSTI Identifier:
22069217
Resource Type:
Journal Article
Journal Name:
Journal of Experimental and Theoretical Physics
Additional Journal Information:
Journal Volume: 115; Journal Issue: 6; Other Information: Copyright (c) 2012 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7761
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; ANISOTROPY; DISTURBANCES; EIGENVALUES; FLUID FLOW; MATHEMATICAL SOLUTIONS; NAVIER-STOKES EQUATIONS; REYNOLDS NUMBER; TIME DEPENDENCE; TRIPLETS; VELOCITY; VORTICES

Citation Formats

Libin, A. Scale-invariant streamline equations and strings of singular vorticity for perturbed anisotropic solutions of the Navier-Stokes equation. United States: N. p., 2012. Web. doi:10.1134/S1063776112130055.
Libin, A. Scale-invariant streamline equations and strings of singular vorticity for perturbed anisotropic solutions of the Navier-Stokes equation. United States. https://doi.org/10.1134/S1063776112130055
Libin, A. 2012. "Scale-invariant streamline equations and strings of singular vorticity for perturbed anisotropic solutions of the Navier-Stokes equation". United States. https://doi.org/10.1134/S1063776112130055.
@article{osti_22069217,
title = {Scale-invariant streamline equations and strings of singular vorticity for perturbed anisotropic solutions of the Navier-Stokes equation},
author = {Libin, A},
abstractNote = {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.},
doi = {10.1134/S1063776112130055},
url = {https://www.osti.gov/biblio/22069217}, journal = {Journal of Experimental and Theoretical Physics},
issn = {1063-7761},
number = 6,
volume = 115,
place = {United States},
year = {Sat Dec 15 00:00:00 EST 2012},
month = {Sat Dec 15 00:00:00 EST 2012}
}