Abstract
The reduction of skin friction in turbulent flows holds considerable promise for energy savings. The present work shows how and why skin friction and the dissipation are interrelated in turbulent channel flows. A hydraulic model formulation is presented for the skin friction reduction that can be obtained with a surface structure recently proposed for flow control. The model predictions are validated with results from direct numerical simulations.
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References
R.A. Antonia, M. Teitel, J. Kim, L.W.B. Browne: Low-Reynolds-number effects in a fully developed turbulent channel flow. J. Fluid Mech. 236 (1992) 579–605.
R.B. Dean: Reynolds number dependence of skin friction and other bulk flow variables in two-dimensional rectangular duct flow. J. Fluids Engrg. 100 (1978) 215–223.
B. Frohnapfel, P. Lammers, J. Jovanović: The role of turbulent dissipation for flow control of near-wall turbulence. In Notes on Numerical Fluid Mechanics and Multidisciplinary Design, C. Tropea, S. Jarkilic, H.-J. Heinemann, R. Henke, H. Hönlinger (Eds.), Springer, Berlin (2007) in print.
B. Frohnapfel, P. Lammers, J. Jovanović, F. Durst: Interpretation of the mechanism associated with turbulent drag reduction in terms of anisotropy invariants. J. Fluid Mech. 577 (2007) 457–466.
J. Kim, P. Moin, R. Moser: Turbulence statistics in a fully developed channel flow at low Reynolds numbers. J. Fluid Mech. 177 (1987) 133–166.
A. Kuroda, N. Kasagi, M. Hirata: A direct numerical simulation of the fully developed turbulent channel flow. In Proceedings of International Symposium on Computational Fluid Dynamics, Nagoya, Japan (1989) pp. 1174–1179.
P. Lammers: Direct numerical simulations of wall-bounded flows at low Reynolds number with the lattice-Boltzmann method. Ph.D. Thesis, University of Erlangen-Nuremberg (2004) [in German].
R.D. Moser, J. Kim, N.N. Mansour: Direct numerical simulation of turbulent channel flow up to Re τ=590. Phys. Fluids 11 (1999) 943–945.
R. Volkert: Determination of statistical turbulence quantities for a turbulent channel flow based on direct numerical simulations. Ph.D. Thesis, University of Erlangen-Nuremberg (2006) [in German].
B. Frohnapfel, J. Jovanović, A. Delgado: Experimental investigation of turbulent drag reduction by surface embedded grooves. J. Fluid Mech. (2007) in print.
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Frohnapfel, B., Lammers, P., Jovanović, J., Delgado, A. (2008). Hydraulic Model of the Skin Friction Reduction with Surface Grooves. In: Morrison, J.F., Birch, D.M., Lavoie, P. (eds) IUTAM Symposium on Flow Control and MEMS. IUTAM Bookseries, vol 7. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6858-4_54
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DOI: https://doi.org/10.1007/978-1-4020-6858-4_54
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-6857-7
Online ISBN: 978-1-4020-6858-4
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