Session CX: Aerodynamics II

1:00 PM–3:10 PM, Sunday, November 21, 2010
Hyatt Regency Long Beach Room: Regency D

Chair: Serhiy Yarusevych, University of Waterloo

Abstract ID: BAPS.2010.DFD.CX.8

Abstract: CX.00008 : The aerodynamics of jumping rope

2:31 PM–2:44 PM

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  Jeffrey Aristoff
    (Department of Mechanical and Aerospace Engineering, Princeton University)

  Howard Stone
    (Department of Mechanical and Aerospace Engineering, Princeton University)

We present the results of a combined theoretical and experimental investigation of the motion of a rotating string that is held at both ends (i.e. a jump rope). In particular, we determine how the surrounding fluid affects the shape of the string at high Reynolds numbers. We derive a pair of coupled non-linear differential equations that describe the shape, the numerical solution of which compares well with asymptotic approximations and experiments. Implications for successful skipping will be discussed, and a demonstration is possible.

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