ORCID
- Borthwick, Alistair: 0000-0001-6053-7764
Abstract
Compliant walls offer the tantalising possibility of passive flow control. This paper examines the mechanics of compliant surfaces driven by wall shear stresses, with solely in-plane velocity response. We present direct numerical simulations of turbulent channel flows at low ($Re_{\unicode[STIX]{x1D70F}}\approx 180$) and intermediate ($Re_{\unicode[STIX]{x1D70F}}\approx 1000$) Reynolds numbers. In-plane spanwise and streamwise active controls proposed by Choiet al. (J. Fluid Mech., vol. 262, 1994, pp. 75–110) are revisited in order to characterise beneficial wall fluctuations. An analytical framework is then used to map the parameter space of the proposed compliant surfaces. The direct numerical simulations show that large-scale passive streamwise wall fluctuations can reduce friction drag by at least$3.7\pm 1\,\%$, whereas even small-scale passive spanwise wall motions lead to considerable drag penalty. It is found that a well-designed compliant wall can theoretically exploit the drag-reduction mechanism of an active control; this may help advance the development of practical active and passive control strategies for turbulent friction drag reduction.
DOI
10.1017/jfm.2019.145
Publication Date
2019-05-10
Publication Title
Journal of Fluid Mechanics
Volume
866
ISSN
0022-1120
Organisational Unit
School of Engineering, Computing and Mathematics
First Page
689
Last Page
720
Recommended Citation
Józsa, T. I., Balaras, E., Kashtalyan, M., Borthwick, A., & Viola, I. (2019) 'Active and passive in-plane wall fluctuations in turbulent channel flows', Journal of Fluid Mechanics, 866, pp. 689-720. Available at: https://doi.org/10.1017/jfm.2019.145
