Microfluidics and Nanofluidics

, Volume 13, Issue 3, pp 429–440 | Cite as

Erlangen pipe flow: the concept and DNS results for microflow control of near-wall turbulence

  • Peter Lammers
  • Jovan Jovanović
  • Bettina Frohnapfel
  • Antonio Delgado
Research Paper
First Online:
Received:
Accepted:

Abstract

The concept of a micropatterned surface morphology capable of producing self-stabilization of turbulence in wall-bounded flows is considered in pipes of non-circular cross-sections which act to restructure fluctuations towards the limiting state where these must be entirely suppressed. Direct numerical simulations of turbulence in pipes of polygon-shaped cross-sections with straight and profiled sides were performed at a Reynolds number \(Re_\tau \simeq {\mathrm 300}\) based on the wall shear velocity and the hydraulic diameter. Using the lattice Boltzmann numerical algorithm, turbulence was resolved with up to \({\mathrm 540\times 10^6}\) grid points (\({\mathrm 8,192\times 257 \times 256}\) in the x 1, x 2 and x 3 directions). The DNS results show a decrease in the viscous drag around corners, resulting in a reduction of the skin-friction coefficient compared with expectations based on the well-established concept of hydraulic diameter and the use of the Blasius correlation. These findings support the conjecture that turbulence might be completely suppressed if the pipe cross-section is a polygon consisting of a sufficient number of profiled sides of the same length which intersect at right angles at the corners.

Keywords

Wall Shear Stress Drag Reduction Lattice Boltzmann Method Viscous Sublayer Turbulent Drag Reduction 
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.
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Notes

Acknowledgments

This work was sponsored by grants Jo 240/5-3, FR 2823/2-1 and in addition obtained support from the Cluster of Excellence Engineering of Advanced Materials at the University of Erlangen-Nuremberg and from the Center for Smart Interfaces at the Technische Universität Darmstadt, which are all funded by the German Research Foundation (DFG).

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Copyright information

© Springer-Verlag 2012

Authors and Affiliations

  • Peter Lammers
    • 1
  • Jovan Jovanović
    • 2
    • 3
  • Bettina Frohnapfel
    • 3
  • Antonio Delgado
    • 2
  1. 1.CD-adapcoNurembergGermany
  2. 2.Institute of Fluid MechanicsFriedrich-Alexander University Erlangen-NurembergErlangenGermany
  3. 3.Center of Smart InterfacesTechnische Universität DarmstadtDarmstadtGermany

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