Hostname: page-component-55f67697df-sqlfs Total loading time: 0 Render date: 2025-05-09T17:06:09.061Z Has data issue: false hasContentIssue false
  • English
  • Français

Interpretation of the mechanism associated with turbulent drag reduction in terms of anisotropy invariants

Published online by Cambridge University Press:  19 April 2007

B. FROHNAPFEL ,
P. LAMMERS ,
J. JOVANOVIĆ  and
F. DURST
B. FROHNAPFEL
Affiliation:
Institute of Fluid Mechanics, Friedrich-Alexander University Erlangen-Nuremberg, Cauerstr. 4, 91058 Erlangen, Germany
P. LAMMERS
Affiliation:
High Performance Computing Center Stuttgart, Nobelstr. 19, 70569 Stuttgart, Germany
J. JOVANOVIĆ
Affiliation:
Institute of Fluid Mechanics, Friedrich-Alexander University Erlangen-Nuremberg, Cauerstr. 4, 91058 Erlangen, Germany
F. DURST
Affiliation:
Institute of Fluid Mechanics, Friedrich-Alexander University Erlangen-Nuremberg, Cauerstr. 4, 91058 Erlangen, Germany
Get access Rights & Permissions [Opens in a new window]

Abstract

A central goal of flow control is to minimize the energy consumption in turbulent flows and nowadays the best results in terms of drag reduction are obtained with the addition of long-chain polymers. This has been found to be associated with increased anisotropy of turbulence in the near-wall region. Other drag reduction mechanisms are analysed in this respect and it is shown that close to the wall highly anisotropic states of turbulence are commonly found. These findings are supported by results of direct numerical simulations which display high drag reduction effects of over 30% when only a few points inside the viscous sublayer are forced towards high anisotropy.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 577 , 25 April 2007 , pp. 457 - 466
Copyright
Copyright © Cambridge University Press 2007

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

REFERENCES

Bechert, D. W., Bruse, M., Hage, W. & Meyer, R. 2000 Fluid mechanics of biological surfaces and their technological application. Naturwissenschaften 87, 157–171.CrossRefGoogle ScholarPubMed
Dimitropoulos, C. R., Sureshkumar, R. & Beris, A. N. 1998 Direct numerical simulation of viscoelastic turbulent channel exhibiting drag reduction: effect of the variation of rheological parameters. J. Non-Newtonian Fluid Mech. 79, 443–468.CrossRefGoogle Scholar
Foysi, G., Sarkar, S. & Friedrich, R. 2004 Compressibility effects and turbulence scaling in supersonic flows. J. Fluid Mech. 509, 207–216.CrossRefGoogle Scholar
Hinze, J. O. 1975 Turbulence, 2nd Edn. McGraw-Hill.Google Scholar
Jovanović, J. & Hillerbrand, R. 2005 On peculiar property of the velocity fluctuations in wall-bounded flows. J. Thermal Sci. 9, 3–12.CrossRefGoogle Scholar
Jovanović, J., Pashtrapanska, M., Frohnapfel, B., Durst, F., Koskinen, J. & Koskinen, K. 2006 On the mechanism responsible for turbulent drag reduction by dilute addition of high polymers: theory, experiments, simulations, and predictions. Trans. ASME: J. Fluids Engng 128, 118–130.Google Scholar
Kawaguchi, Y., Li, F. C., Bo, Y. & Hishida, K. 2005 Experimental and numerical investigation of the mechanism of drag reduction by surfactant additives and heat transfer. Proc. 6th Symp. Smart Control of Turbulence, Tokyo. http://www.nmri.go.jp/turbulence/PDF/symposium/FY2004/kawaguchi.pdfGoogle Scholar
Kuroda, A., Kasagi, N. & Hirata, M. 1990 A direct numerical simulation of the fully developed turbulent channel flow. Proc. Intl Symp. Comp. Fluid Dynamics, Nagoya (ed. Yasuhara, M., Daiguji, H., Oshima, K.), pp. 1174–1179. JSCFD.Google Scholar
Lammers, P., Jovanović, J. & Durst, F. 2006 Numerical experiments on wall turbulence at low Reynolds numbers. J. Thermal Sci. 10, 33–62.CrossRefGoogle Scholar
Lumley, J. L. 1978 Computational modeling of turbulent flows. Adv. Appl. Mech. 18, 123–176.CrossRefGoogle Scholar
Lumley, J. L. & Newman, G. 1977 The return to isotropy of homogeneous turbulence. J. Fluid Mech. 82, 161–178.CrossRefGoogle Scholar
Moser, R. D., Kim, J. & Mansour, N. N. 1999 DNS of turbulent channel flow up to Reτ=590. Phys. Fluids 11, 943–945.CrossRefGoogle Scholar
Paschkewitz, J. S., Dubief, Y., Dimitropoulos, C. D., Shaqfeh, E. S. & Moin, P. 2004 Numerical simulation of turbulent drag reduction using rigid fibers. J. Fluid Mech. 518, 281–317.CrossRefGoogle Scholar
Spalart, P. R. 1986 Numerical study of sink-flow boundary layer. J. Fluid Mech. 172, 307–328.CrossRefGoogle Scholar
Verstappen, R. W. C. P. & Veldman, A. E. P. 2003 Symmetry-preserving discretization of turbulent flow. J. Comp. Phys. 187, 343–368.CrossRefGoogle Scholar