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    Mach cone in a shallow granular fluid

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    PhysRevE.70.060301.pdf (208.2Kb)
    Date
    2004-12-23
    Author
    Heil, Patrick
    Rericha, Erin C.
    Goldman, Daniel I.
    Swinney, Harry L.
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    Abstract
    We study the V-shaped wake (Mach cone) formed by a cylindrical rod moving through a thin, vertically vibrated granular layer. The wake, analogous to a shock (hydraulic jump) in shallow water, appears for rod velocities vR greater than a critical velocity c. We measure the half angle u of the wake as a function of vR and layer depth h. The angle satisfies the Mach relation, sin u =c/vR, where c=Îgh, even for h as small as one-particle diameter.
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    http://hdl.handle.net/1853/44562
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    • Complex Rheology and Biomechanics Lab (CRAB LAB) [37]
    • Complex Rheology and Biomechanics Lab (CRAB LAB) Publications [37]

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