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Imperfection sensibility of free eddies in Stokes flow

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Abstract

It has previously been shown by Dorrepaal and O'Neill [7] that eddies, which are not attached to either of the cylinder surfaces, can exist between two identical circular cylinders inserted in a creeping flow with velocity perpendicular to the center line. In this note the flow is examined when the symmetry is broken in various ways, and it is concluded that the existence of these eddies is very sensible to imperfections.

Zusammenfassung

Dorrepaal und O'Neill [7] haben die kriechende Strömung senkrecht zu den Axen zweier identischer Kreiszylinder untersucht, und sie haben gezeigt, daß Wirbel, die an keiner der Zylinderoberflächen haften, existieren können.

In diesem Artikel wird die Strömung untersucht, wenn die Symmetrie auf verschiedene Weise gebrochen wird, und die Schlußfolgerung wird gezogen, daß die Existenz der Wirbel sehr störungsempfindlich ist.

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Authors and Affiliations

  1. Laboratory of Applied Mathematical Physics, Technical University of Denmark, DK-2800, Lyngby, Denmark

    Erik B. Hansen

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  1. Erik B. Hansen
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Hansen, E.B. Imperfection sensibility of free eddies in Stokes flow. Z. angew. Math. Phys. 35, 60–71 (1984). https://doi.org/10.1007/BF00945176

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  • DOI: https://doi.org/10.1007/BF00945176

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