1994
DOI: 10.1017/s0022112094004210
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Theoretical prediction and design for vortex generators in turbulent boundary layers

Abstract: A theoretical study is presented of three-dimensional turbulent flow provoked in a boundary layer by an array of low-profile vortex generators (VGs) on the surface. The typical VG sits in the logarithmic region of the incident boundary layer, and the turbulence model used seems representative in this region. The governing equations yield a forward-marching three-dimensional vortex-type system, which is solved computationally and analytically for spanwise periodic VG arrays. Streamwise vortex patterns of variou… Show more

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Cited by 31 publications
(17 citation statements)
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“…The geometry is defined by four parameters : the length L, base width w b , and upper edge width w e of the trapezoidal blade and the angle a between the blade and the wall. The thickness of the blade is constant and equal to 10 -3 m. In most of the following study, the length L of the VG will be L = 10 -2 m and the angle a = 60°or a = 120°, so that the apparent height of the VG is h ¼ L sinðaÞ ¼ 8:5 Â 10 À3 m: The geometry of the VGs is rather unusual compared to classic vane type VGs used in aeronautics (Smith 1994;Betterton et al 2000;Angele and Grewe 2002). The nature of the perturbations induced by the VG in a flat-plate boundary layer can not be easily guessed.…”
Section: Vortex Generators For Flow Controlmentioning
confidence: 99%
See 1 more Smart Citation
“…The geometry is defined by four parameters : the length L, base width w b , and upper edge width w e of the trapezoidal blade and the angle a between the blade and the wall. The thickness of the blade is constant and equal to 10 -3 m. In most of the following study, the length L of the VG will be L = 10 -2 m and the angle a = 60°or a = 120°, so that the apparent height of the VG is h ¼ L sinðaÞ ¼ 8:5 Â 10 À3 m: The geometry of the VGs is rather unusual compared to classic vane type VGs used in aeronautics (Smith 1994;Betterton et al 2000;Angele and Grewe 2002). The nature of the perturbations induced by the VG in a flat-plate boundary layer can not be easily guessed.…”
Section: Vortex Generators For Flow Controlmentioning
confidence: 99%
“…There are many ways to produce longitudinal vortices leading to a large set of mechanical or fluidic vortex generators that could be appropriate (Betterton et al 2000;Smith 1994). In this study, an original vortex generator geometry is proposed and will be discussed later in the paper.…”
Section: Introductionmentioning
confidence: 99%
“…Liu, Piomelli & Spalart 1996;You et al 2006). The model of Smith (1994) predicts the flow field induced by low-profile triangular vanes (extending approximately to the logarithmic region of the boundary layer) in a zero pressure gradient boundary layer. The method modifies the governing equations based on the scales of the geometry and the oncoming flow.…”
Section: Introductionmentioning
confidence: 99%
“…A theoretical investigation was conducted of three-dimensional turbulent flow provoked in a boundary layer by an array of low-profile vortex generators on the surface [23]. Triangular type vortex generators, with various span wise spacing were considered.…”
Section: Introductionmentioning
confidence: 99%