The Role of Turbulent Dissipation for Flow Control of Near-Wall Turbulence

  • Bettina Frohnapfel
  • Peter Lammers
  • Jovan Jovanović
Part of the Notes on Numerical Fluid Mechanics and Multidisciplinary Design (NNFM) book series (NNFM, volume 96)


One of the major goals of flow control is the reduction of energy consumption in wall bounded flows by minimizing the viscous drag. In the present work it is shown that the turbulent dissipation needs to be minimized in order to obtain energy savings. Analytical considerations lead to the conclusion that this can be achieved by forcing near-wall turbulence to an axisymmetric state. To confirm this finding direct numerical simulations were carried out in which the boundary conditions were such that near-wall fluctuations were forced towards axisymmetry. Additionally, a surface structure that minimizes turbulent dissipation at the wall was designed and tested experimentally. Both, numerical and experimental investigations yield significant drag reduction.


Wall Shear Stress Direct Numerical Simulation Drag Reduction Viscous Sublayer Turbulent Dissipation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    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, pp. 579–605.CrossRefGoogle Scholar
  2. [2]
    K.S. Choi: ”Near-wall structures of a turbulent boundary layer with riblets”. J. Fluid Mech. 208, 1989, pp. 417–458.CrossRefGoogle Scholar
  3. [3]
    B. Frohnapfel, P. Lammers, J. Jovanovic, F. Durst: ”Interpretation of the mechanism associated with turbulent drag reduction in terms of anisotropy invariants”. J. Fluid Mech., accepted, 2006.Google Scholar
  4. [4]
    W.K. George, H.J. Hussein: ”Locally axisymmetric turbulence”. J. Fluid Mech. 233, 1992, pp. 1–23.CrossRefGoogle Scholar
  5. [5]
    J. Jovanovic, R. Hillerbrand: ”On peculiar property of the velocity fluctuations in wallbounded flows”. Thermal Science 9, 2005, pp. 3–12.CrossRefGoogle Scholar
  6. [6]
    J. Kim, P. Moin, R. Moser: ”Turbulence statistics in a fully developed channel flow at low Reynolds numbers”. J. Fluid Mech. 177, 1987, pp. 133–166.zbMATHCrossRefGoogle Scholar
  7. [7]
    A. Kuroda, N. Kasagi, M. Hirata: ”A direct numerical simulation of the fully developed turbulent channel flow”. Proc. Int. Symp. on Computational Fluid Dynamics, Nagoya, Japan, 1989, pp. 1174–1179.Google Scholar
  8. [8]
    J.L. Lumley: ”Computational modelling of turbulent flows”. Adv. Appl. Mech. 18, 1978, pp. 123–176.zbMATHMathSciNetCrossRefGoogle Scholar
  9. [9]
    A.S. Monin, A.M. Yaglom: ”Statistical Fluid Dynamics”. The MIT Press, Cambridge, Massachusetts, 1999.Google Scholar
  10. [10]
    R.D. Moser, J. Kim, N.N. Mansour: ”Direct numerical simulation of turbulent channel flow up to ReT = 590”. Phys. Fluids 11, 1999, pp. 943–945.CrossRefzbMATHGoogle Scholar
  11. [11]
    R.W.C.P. Verstappen, A.E.P. Veldman: ”Symmetry-preserving discretization of turbulent flow”. J. Comp. Physics 187, 2003, pp. 343–368.zbMATHCrossRefMathSciNetGoogle Scholar
  12. [12]
    R. Volkert: ”Determination of statistical turbulence quantities for a turbulent channel flow based on direct numerical simulations”, (in German) Ph.D. thesis, University of Erlangen-Nuremberg, 2006.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Bettina Frohnapfel
    • 1
  • Peter Lammers
    • 2
  • Jovan Jovanović
    • 2
  1. 1.LSTM - Institute of Fluid MechanicsFriedrich-Alexander Universität Erlangen-NürnbergErlangenGermany
  2. 2.HLRS - High Performance Computing Center StuttgartStuttgartGermany

Personalised recommendations