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1 Granular Fluidization in Reduced Gravity University of Tulsa Supported by Research Corp. Justin Mitchell, Aaron Coyner, Rebecca Ragar, Matt Olson, Ian Zedalis, Adrienne McVey, Whitney Marshall Michael Wilson*, Shawn Jackson *Currently at National Research Council
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2 Project Description Goals Look for definitive inelastic collapse of a 3-d granular system in zero gravity. Determine parameters necessary for a granular gas, the precursor to collapse. Methods Preliminary testing on NASA KC-135A low gravity aircraft Future flight on Space Shuttle Testing on sounding rocket * * É. Falcon et al., Phys. Rev. Lett. 80. 440 (1999).
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3 Why Investigate Granular Gases? Large granular systems, such as planets, are not well understood. Asteroids, planetary rings, etc. are not fully explained by gravity because sizes are too small for gravity to act alone. Inelastic collapse models provide plausible method for formation of these smaller objects. Small scale granular gas studies allow for lab testing of the models on reasonable time scales.
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4 Experimental Description Box set: 8 sapphire walled cubes, 1 in 3 each. Box set mechanically shaken sinusoidally along body diagonal. Each cube has one free wall attached to a piezoelectric sensor. Video cameras view 3 orthogonal box set faces.
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5 Box Set as Flown on KC-135A
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6 System Acceleration Shaking direction is perpendicular to mean effective gravity. In “microgravity” the residual acceleration is ~0.03 g earth *. Residual acceleration is usually pointed up. shaking g earth Residual acceleration * From Charles Thomas, Boston University
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7 Granular Phases Solid Grains pack in one corner Fluid Grains slosh around box walls Gas ~uniform distribution of kinetic grains g residual
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8 Phase Diagram o =A 2 /g residual is the ratio of wall acceleration to g residual diverges as g residual goes to zero. o Wall acceleration, density and g residual define the phase. cc
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9 Experiment Geometries Shaking parallel to g c 2.0 * A 2 = 19.6 m/s 2 g shaking g residual shaking Normal GeometryOur Geometry Shaking normal to g residual c 17 A 2 = 5.00 m/s 2 *Y. Lan, A. D. Rosato, Phys. Fluids 7, 1818 (1995).
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10 Conclusions There is a c that defines the phase transition to a granular gas. Geometry and density affect the value of c. o=A 2 /g residual is a convenient way to compare shaken granular experiments. oOur geometry requires a higher wall accelerations (in proportion to g residual ) to show a phase transition.
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11 Future Work Ball tracking to give speed distribution. Analyze impact data to obtain pressure information for gas phases. First flight was preparation for later experiments. Second KC-135A flight Make free floating Space Shuttle
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12 Experiment Parameters 0.50 mm and/or 1.00 mm grade 200 brass Mean free path (mfp) ~Vol./(Nd 2 ) %Oc.Vl. = % of volume occupied by balls
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13 Residual Acceleration Balls above dense clusters follow parabolic path. g Residual 0.023 g Earth Within 25% of BU Data
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