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Polymer and surface roughness effects on the drag crisis for falling spheres

Author

Listed:
  • N. Lyotard
  • W. L. Shew
  • L. Bocquet
  • J.-F. Pinton

Abstract

We make time resolved velocity measurements of steel spheres in free fall through liquid using a continuous ultrasound technique. We explore two different ways to induce large changes in drag on the spheres: 1) a small quantity of viscoelastic polymer added to water and 2) altering the surface of the sphere. Low concentration polymer solutions and/or a pattern of grooves in the sphere surface induce an early drag crisis, which may reduce drag by more than 50% compared to smooth spheres in pure water. On the other hand, random surface roughness and/or high concentration polymer solutions reduce drag progressively and suppress the drag crisis. We also present a qualititative argument which ties the drag reduction observed in low concentration polymer solutions to the Weissenberg number and normal stress difference. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Suggested Citation

  • N. Lyotard & W. L. Shew & L. Bocquet & J.-F. Pinton, 2007. "Polymer and surface roughness effects on the drag crisis for falling spheres," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 60(4), pages 469-476, December.
    • Handle: RePEc:spr:eurphb:v:60:y:2007:i:4:p:469-476
    DOI: 10.1140/epjb/e2008-00018-0
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    Cited by:

    1. Santiago Laín & Diego F. García & Mario A. Gandini, 2023. "Analytical Solutions of the Riccati Differential Equation: Particle Deposition in a Viscous Stagnant Fluid," Mathematics, MDPI, vol. 11(15), pages 1-13, July.

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