Numerical Investigation of the Bending of Slender Wall-Mounted Cylinders in Low Reynolds Number Flow

  • Gabriel Axtmann
  • Ulrich Rist
  • Franziska Hegner
  • Christoph Bruecker
Conference paper
Part of the Notes on Numerical Fluid Mechanics and Multidisciplinary Design book series (NNFM, volume 132)


The aim of the present studies is construction of reference data for the prediction of the bending of sensor hairs close to the wall in a boundary-layer flow. Three-dimensional direct numerical simulations (DNS) of finite cylinders in single and tandem configuration are carried out. The numerical setup is guided by a towing-tank experiment performed at the Technical University of Freiberg. All numerical configurations are chosen to complement and extend the experimental work. The bending curve of the cylinders is estimated by a static approach according to 1st-order Euler-Bernoulli beam theory. Based on the forces, extrapolated from the DNS of the flow field, the influence of wall- and top-end effects and Reynolds numbers between 5 and 40 is examined more deeply. Also, varying positions of cylindrical tandem configurations in stream- and spanwise directions are investigated. The present work shows good agreement between simulation and experiment.


  1. 1.
    Bruecker, C., Bauer, D., Chaves, H.: Dynamic response of micro-pillar sensors measuring fluctuating wall-shear-stress. Exp. Fluids 42, 737–749 (2007)CrossRefGoogle Scholar
  2. 2.
    Luehr, A., Hegner, F.: Characterization of the beam bending of a sensor pillar. IMFD TU Freiberg (2014)Google Scholar
  3. 3.
    Norberg, C.: An experimental investigation of the flow around a circular cylinder. J. Fluid Mech. 258, 287–346 (1994)CrossRefGoogle Scholar
  4. 4.
    Ohya, Y., Okajima, A., Hayashi, M.: Wake Interference and Vortex Shedding. Gulf Publishing, Houston (1989)Google Scholar
  5. 5.
    Roache, P.: Quantification of uncertainty in computational fluid dynamics. Annu. Rev. Fluid Mech. 29, 60–126 (1997)MathSciNetCrossRefGoogle Scholar
  6. 6.
    Sen, S.: Numerical simulation of steady flow past a circular cylinder. J. Fluid Mech. 620, 89–119 (2009)CrossRefGoogle Scholar
  7. 7.
    Tritton, D.: Experiments on the flow past a circular cylinder at low reynolds numbers. J. Fluid Mech. 6, 547–567 (1959)CrossRefMATHGoogle Scholar
  8. 8.
    Williamson, C.: Vortex dynamics in the cylinder wake. Annu. Rev. Fluid Mech. 28, 477–539 (1996)MathSciNetCrossRefGoogle Scholar
  9. 9.
    Zdravkovichm, M.: Flow around circular cylinders. Oxford University Press 2, New York (2003)Google Scholar

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Gabriel Axtmann
    • 1
  • Ulrich Rist
    • 1
  • Franziska Hegner
    • 2
  • Christoph Bruecker
    • 3
  1. 1.Institute of Aerodynamics and Gas DynamicsStuttgartGermany
  2. 2.Institute of Mechanics and Fluid DynamicsFreibergGermany
  3. 3.Department of Mechanical Engineering and AeronauticsCity University LondonLondonUK

Personalised recommendations