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Goldman,
Daniel I.
Goldman,
Daniel I.
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ItemMach cone in a shallow granular fluid(Georgia Institute of Technology, 2004-12-23) Heil, Patrick ; Rericha, Erin C. ; Goldman, Daniel I. ; Swinney, Harry L.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.