1977
DOI: 10.1016/0022-460x(77)90556-9
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A theoretical investigation of laminar wakes behind airfoils and the resulting noise pattern

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1977
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Cited by 7 publications
(12 citation statements)
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“…I n recent years, a few papers (Paterson et al 1972;Sunyach et al 1973;Tam 1974;Fink 1975;Schlinker, Fink & Amiet 1976;Fathy, Rashed & Lumsdaine 1977) have been devoted to the study of discrete frequencies emitted by airfoils placed in a laminar flow whose Reynolds number, based on the chord, did not exceed some critical value of the order of 6 x lo5, associated with boundary-layer transition. The most significant of the above contributions is that of Paterson, who showed that the Strouhal frequency f of the observed narrowband spectrum exhibited a so-called 'ladder-type ' variation, i.e.…”
Section: Introductionmentioning
confidence: 99%
“…I n recent years, a few papers (Paterson et al 1972;Sunyach et al 1973;Tam 1974;Fink 1975;Schlinker, Fink & Amiet 1976;Fathy, Rashed & Lumsdaine 1977) have been devoted to the study of discrete frequencies emitted by airfoils placed in a laminar flow whose Reynolds number, based on the chord, did not exceed some critical value of the order of 6 x lo5, associated with boundary-layer transition. The most significant of the above contributions is that of Paterson, who showed that the Strouhal frequency f of the observed narrowband spectrum exhibited a so-called 'ladder-type ' variation, i.e.…”
Section: Introductionmentioning
confidence: 99%
“…The vortex shedding frequency f can be expressed as follows (Fathy et al, 1977, Lee et al, 1993, Dou et al, 2016 = 0 − (3) where U0 is the free-stream velocity, Vi is the advance velocity of the vortex street, and a is the distance between the vortices within a vortex row. Vi is due to the induced velocity of each vortex in the street, its direction is opposite to U0.…”
Section: Theoretical Backgroundmentioning
confidence: 99%
“…where is the strength of a vortex and s is the vortex spacing ratio which is defined as = (5) where b is the transversal distance between vortex rows. Assuming that the shed vortices form a Karman vortex street, the value of s had been set to 0.281 in Hersh et al, 1974, Fathy et al, 1977, Lee et al, 1993, and Dou et al, 2016. The von Kármán stability criterion assumes isolated, equal, point-vortices existing in a non-viscous fluid.…”
Section: Theoretical Backgroundmentioning
confidence: 99%
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