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Theoretical prediction and design for vortex generators in turbulent boundary layers

Smith, FT; (1994) Theoretical prediction and design for vortex generators in turbulent boundary layers. Journal of Fluid Mechanics , 270 91 - 132. 10.1017/S0022112094004210. Green open access

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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 various strengths are produced downstream, owing to three-dimensional distortion of the original logarithmic profile and to the turbulent stresses present. Predictions are given for certain basic VG shapes, e.g. triangular, with various spanwise spacings, and the predictions are found to agree favourably overall with recent experiments. In addition, the analytical formulae obtained prove useful in suggesting designs for favourable VG distributions, based on three factors: close spanwise packing, increased VG length, and suitably non-smooth spanwise shaping.

Type: Article
Title: Theoretical prediction and design for vortex generators in turbulent boundary layers
Open access status: An open access version is available from UCL Discovery
DOI: 10.1017/S0022112094004210
Publisher version: http://dx.doi.org/10.1017/S0022112094004210
Language: English
Additional information: © 1994 Cambridge University Press
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/82785
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