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Effects of convex transverse curvature on wall-bounded turbulence. Part 1. The velocity and vorticity

Published online by Cambridge University Press:  26 April 2006

João C. Neves ,
Moin Parviz  and
Robert D. Moser
João C. Neves
Affiliation:
Department of Mechanical Engineering, Stanford University, Stanford, CA94305, USA
Moin Parviz
Affiliation:
Department of Mechanical Engineering, Stanford University, Stanford, CA94305, USA NASA Ames Research Center, Moffett Field, CA94035, USA
Robert D. Moser
Affiliation:
NASA Ames Research Center, Moffett Field, CA94035, USA
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Abstract

Convex transverse curvature effects in wall-bounded turbulent flows are significant if the boundary-layer thickness is large compared to the radius of curvature (large γ = δ/a). The curvature affects the inner part of the flow if a+, the cylinder radius in wall units, is small.

Two direct numerical simulations of a model problem approximating axial flow boundary layers on long cylinders were performed for γ = 5 (a+ ≈ 43) and γ = 11 (a+ ≈ 21). Statistical and structural data were extracted from the computed flow fields. The effects of the transverse curvature were identified by comparing the present results with those of the plane channel simulation of Kim, Moin & Moser (1987), performed at a similar Reynolds number. As the curvature increases, the skin friction increases, the slope of the logarithmic region decreases and turbulence intensities are reduced. Several turbulence statistics are found to scale with a curvature dependent velocity scale derived from the mean momentum equation. Near the wall, the flow is more anisotropic than in the plane channel with a larger percentage of the turbulent kinetic energy resulting from the streamwise velocity fluctuations. As the curvature increases, regions of strong normal vorticity develop near the wall.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 272 , 10 August 1994 , pp. 349 - 382
Copyright
Copyright © Cambridge University Press 1994

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Footnotes

†

Present address: Naval Research Laboratory, Washington DC 20375-7220, USA

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