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1

(Firm), Knovel, ed. Theory of vortex sound. Cambridge University Press, 2003.

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2

Theory of vortex sound. Cambridge University Press, 2003.

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3

Jackson, Thomas L. Role of acoustics in flame/vortex interactions. Institute for Computer Applications in Science and Engineering, 1993.

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4

Martin, R. M. Wake geometry effects on rotor blade-vortex interaction noise directivity. Langley Research Center, 1990.

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5

Martin, R. M. Advancing-side directivity and retreating-side interactions of model rotor blade-vortex interaction noise. Langley Research Center, 1987.

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6

Krause, E. IUTAM Symposium on Dynamics of Slender Vortices: Proceedings of the IUTAM Symposium held in Aachen, Germany, 31 August - 3 September 1997. Springer Netherlands, 1998.

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7

Hoad, Danny R. Helicopter blade-vortex interaction locations - scale-model acoustics and free-wake analysis results. Langley Research Center, 1987.

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8

Martin, R. M. Acoustic measurements from a rotor blade-vortex interaction noise experiment in the German-Dutch Wind Tunnel (DNW). Langley Research Center, 1988.

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9

Acoustic source and data acquisition system for a helicopter rotor blade-vortex interaction (BVI) noise reduction experiment. Naval Postgraduate School, 1996.

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10

Chen, Robert T. N. Acoustic flight tests of rotorcraft noise-abatement approaches using local differential GPS guidance. National Aeronautics and Space Administration, Ames Research Center, 1995.

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11

Chen, Robert T. N. Acoustic flight tests of rotorcraft noise-abatement approaches using local differential GPS guidance. National Aeronautics and Space Administration, Ames Research Center, 1995.

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12

Shau-Tak, Chou, and United States. National Aeronautics and Space Administration., eds. Helicopter tail rotor blade-vortex interaction noise: Final technical report. National Aeronautics and Space Administration, 1989.

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13

C, Yu James, and United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch., eds. New technique for experimental generation of two-dimensional blade-vortex interaction at low Reynolds numbers. National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1986.

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14

Howe, M. S. Theory of Vortex Sound. Cambridge University Press, 2002.

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15

G, Macaraeg Michele, Hussaini M. Yousuff, and Langley Research Center, eds. Role of acoustics in flame/vortex interactions. National Aeronautics and Space Administration, Langley Research Center, 1993.

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16

Joint Institute for Aeronautics and Acoustics, ed. An analysis of blade vortex interaction aerodynamics and acoustics. Stanford University, Dept. of Aeronautics and Astronautics, 1985.

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17

United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch., ed. Helicopter blade-vortex interaction locations: Scale-model acoustics and free-wake analysis results. National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1987.

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18

United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch., ed. Helicopter blade-vortex interaction locations: Scale-model acoustics and free-wake analysis results. National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1987.

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19

Acoustic Source and Data Acquisition System for a Helicopter Rotor Blade-Vortex Interaction (BVI) Noise Reduction Experiment. Storming Media, 1996.

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20

A, Boxwell D., Spencer R. H, Ames Research Center, and United States. Army Aviation Research and Technology Activity., eds. Review and analysis of the DNW/model 360 rotor acoustic data base. National Aeronautics and Space Administration, Ames Research Center, 1989.

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21

Leonid, Oliker, Biswas Rupak, and Research Institute for Advanced Computer Science (U.S.), eds. New computational methods for the prediction and analysis of helicopter noise. Research Institute for Advanced Computer Science, NASA Ames Research Center, 1996.

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22

Alan, Egolf T., and Langley Research Center, eds. Evaluation of a doubly-swept blade tip for rotorcraft noise reduction. National Aeronautics and Space Administration, Langley Research Center, 1992.

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23

Alan, Egolf T., and Langley Research Center, eds. Evaluation of a doubly-swept blade tip for rotorcraft noise reduction. National Aeronautics and Space Administration, Langley Research Center, 1992.

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24

Alan, Egolf T., and Langley Research Center, eds. Evaluation of a doubly-swept blade tip for rotorcraft noise reduction. National Aeronautics and Space Administration, Langley Research Center, 1992.

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25

Horing, Norman J. Morgenstern. Superfluidity and Superconductivity. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.003.0013.

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Abstract:
Chapter 13 addresses Bose condensation in superfluids (and superconductors), which involves the field operator ψ‎ having a c-number component (<ψ(x,t)>≠0), challenging number conservation. The nonlinear Gross-Pitaevskii equation is derived for this condensate wave function<ψ>=ψ−ψ˜, facilitating identification of the coherence length and the core region of vortex motion. The noncondensate Green’s function G˜1(1,1′)=−i<(ψ˜(1)ψ˜+(1′))+> and the nonvanishing anomalous correlation function F˜∗(2,1′)=−i<(ψ˜+(2)ψ˜+(1′))+> describe the dynamics and elementary excitations of the
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26

E, Kelly R., and United States. National Aeronautics and Space Administration., eds. Effect of density gradients in confined supersonic shear layers. National Aeronautics and Space Administration, 1994.

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