We identify the dominant, or most unstable, wave mode for the flow in a trailing line vortex. This dominant mode is found to reside in a wavenumber regime between that of inviscid wave modes and the viscous upper branch neutral wave modes. A reevaluation of the growth rate in the vicinity of the upper branch of the curve of neutral stability allows us to predict the neutral value of the azimuthal and axial wavenumber as a function of the imposed swirl within the trailing line vortex.
%0 Journal Article
%1 denier2004dominant
%A Denier, James P.
%A Stott, Jillian A. K.
%D 2004
%I American Institute of Physics
%J Physics of Fluids
%K 76b47-vortex-flows 76d05-incompressible-navier-stokes-equations 76e09-stability-and-instability-of-nonparallel-flows
%N 1
%P 014101--014101-9
%R 10.1063/1.1814583
%T The dominant wave mode within a trailing line vortex
%U https://aip.scitation.org/doi/10.1063/1.1814583
%V 17
%X We identify the dominant, or most unstable, wave mode for the flow in a trailing line vortex. This dominant mode is found to reside in a wavenumber regime between that of inviscid wave modes and the viscous upper branch neutral wave modes. A reevaluation of the growth rate in the vicinity of the upper branch of the curve of neutral stability allows us to predict the neutral value of the azimuthal and axial wavenumber as a function of the imposed swirl within the trailing line vortex.
@article{denier2004dominant,
abstract = {We identify the dominant, or most unstable, wave mode for the flow in a trailing line vortex. This dominant mode is found to reside in a wavenumber regime between that of inviscid wave modes and the viscous upper branch neutral wave modes. A reevaluation of the growth rate in the vicinity of the upper branch of the curve of neutral stability allows us to predict the neutral value of the azimuthal and axial wavenumber as a function of the imposed swirl within the trailing line vortex.},
added-at = {2019-11-22T23:48:10.000+0100},
author = {Denier, James P. and Stott, Jillian A. K.},
biburl = {https://www.bibsonomy.org/bibtex/21f14c6356c32f4949e6a281c179b4591/gdmcbain},
comment = {doi: 10.1063/1.1814583},
doi = {10.1063/1.1814583},
interhash = {6ca9bfe5facddf35eba152fcbf36b6b3},
intrahash = {1f14c6356c32f4949e6a281c179b4591},
issn = {10706631},
journal = {Physics of Fluids},
keywords = {76b47-vortex-flows 76d05-incompressible-navier-stokes-equations 76e09-stability-and-instability-of-nonparallel-flows},
month = nov,
number = 1,
pages = {014101--014101-9},
publisher = {American Institute of Physics},
timestamp = {2019-11-24T23:50:58.000+0100},
title = {The dominant wave mode within a trailing line vortex},
url = {https://aip.scitation.org/doi/10.1063/1.1814583},
volume = 17,
year = 2004
}