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Effect of helical corrugations on the low Reynolds number flow in a tube

Authors

  • C. Y. Wang

    Corresponding author
    1. Depts. of Mathematics and Mechanical Engineering, Michigan State University, East Lansing, MI 48824
    • Depts. of Mathematics and Mechanical Engineering, Michigan State University, East Lansing, MI 48824
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Abstract

The low Reynolds number flow in a tube with helically corrugated wavy wall is solved for the first time. The Navier–Stokes equations are perturbed using the small wavy amplitude as parameter. For given pitch λ there exists an optimum number of circumferential waves n where the resistance is minimum. For given n there exists an optimum λ where the induced axial rotation of the flow is maximum. © 2006 American Institute of Chemical Engineers AIChE J, 2006

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