We study both, by experimental and numerical means the fluid dynamical
phenomenon of edge tones. Of particular interest is the verification
of scaling laws relating the frequency f to given quantities, namely
d, the height of the jet, w, the stand�off distance and the velocity
of the jet. We conclude that the Strouhal number Sd is related to
the geometrical quantities through Sd = C � (d / w)n with n � 1,
in contrast to some analytical treatments of the problem. The constant
C of the experiment agrees within 13�15\% with the result of the
numerical treatment. Only a weak dependence on the Reynolds number
with respect to d is observed. In general, a very good agreement
of the experimental and the numerical simulations is found.
%0 Journal Article
%1 bamberger2004experimental
%A Bamberger, Andreas
%A Bänsch, Eberhard
%A Siebert, Kunibert G.
%D 2004
%J ZAMM Journal of Applied Mathematics and Mechanics
%K edge elements equations;adaptive finite from:mhartmann ians investigation;numerical methods;Navier-Stokes tones;experimental vorlaeufig
%N 9
%P 632-646
%R 10.1002/zamm.200310122
%T Experimental and numerical investigation of edge tones
%U http://dx.doi.org/10.1002/zamm.200310122
%V 84
%X We study both, by experimental and numerical means the fluid dynamical
phenomenon of edge tones. Of particular interest is the verification
of scaling laws relating the frequency f to given quantities, namely
d, the height of the jet, w, the stand�off distance and the velocity
of the jet. We conclude that the Strouhal number Sd is related to
the geometrical quantities through Sd = C � (d / w)n with n � 1,
in contrast to some analytical treatments of the problem. The constant
C of the experiment agrees within 13�15\% with the result of the
numerical treatment. Only a weak dependence on the Reynolds number
with respect to d is observed. In general, a very good agreement
of the experimental and the numerical simulations is found.
@article{bamberger2004experimental,
abstract = {We study both, by experimental and numerical means the fluid dynamical
phenomenon of edge tones. Of particular interest is the verification
of scaling laws relating the frequency f to given quantities, namely
d, the height of the jet, w, the stand�off distance and the velocity
of the jet. We conclude that the Strouhal number Sd is related to
the geometrical quantities through Sd = C � (d / w)n with n � 1,
in contrast to some analytical treatments of the problem. The constant
C of the experiment agrees within 13�15\% with the result of the
numerical treatment. Only a weak dependence on the Reynolds number
with respect to d is observed. In general, a very good agreement
of the experimental and the numerical simulations is found.},
added-at = {2018-07-20T10:54:45.000+0200},
author = {Bamberger, Andreas and B{\"a}nsch, Eberhard and Siebert, Kunibert G.},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/205b87bcb8873845c63be5de24fb3d96a/mathematik},
doi = {10.1002/zamm.200310122},
interhash = {fa7ad9b37dea72a7e6000abf9e4af3f9},
intrahash = {05b87bcb8873845c63be5de24fb3d96a},
journal = {ZAMM Journal of Applied Mathematics and Mechanics},
keywords = {edge elements equations;adaptive finite from:mhartmann ians investigation;numerical methods;Navier-Stokes tones;experimental vorlaeufig},
language = {English},
number = 9,
owner = {kohlsk},
pages = {632-646},
timestamp = {2019-12-18T14:37:55.000+0100},
title = {Experimental and numerical investigation of edge tones},
url = {http://dx.doi.org/10.1002/zamm.200310122},
volume = 84,
year = 2004
}
