Crenulative Turbulence in a Converging Nonhomogeneous Material

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Crenulative turbulence is a nonlinear extension of the Bell-Plesset instability, usually observed in a converging system in which there is a nonhomogeneous response of stress to strain and/or strain rate. In general, crenelation occurs in any circumstance in which the mean flow streamlines converge the material more strongly than the compressibility can accommodate. Elements of the material slip past each other, resulting in local fluctuations in velocity from that of the mean flow, producing a type of turbulence that is more kinematic than inertial. For a homogeneous material, crenelation occurs at the atomic or molecular scale. With nonhomogeneous stress response ... continued below

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Medium: P; Size: 143 pages

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Romero, C.A. January 1, 1999.

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Description

Crenulative turbulence is a nonlinear extension of the Bell-Plesset instability, usually observed in a converging system in which there is a nonhomogeneous response of stress to strain and/or strain rate. In general, crenelation occurs in any circumstance in which the mean flow streamlines converge the material more strongly than the compressibility can accommodate. Elements of the material slip past each other, resulting in local fluctuations in velocity from that of the mean flow, producing a type of turbulence that is more kinematic than inertial. For a homogeneous material, crenelation occurs at the atomic or molecular scale. With nonhomogeneous stress response at larger scales, the crenulative process can also occur at those larger scales. The results are manifested by a decrease in the rate of dissipation to heat, and by the configurationally-irreversible mixing of nonhomogeneities across any mean-flow-transported interface. We obtain a mathematical description of the crenulative process by means of Reynolds decomposition of the appropriate variables, and the derivation of transport equations for the second-order moments that arise in the mean-flow momentum and energy equations. The theory is illustrated by application to the spherical convergence of an incompressible fluid with nonhomogeneous distribution of kinematic viscosity.

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Medium: P; Size: 143 pages

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OSTI as DE00003545

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  • Other Information: TH: Thesis (M.S.); Submitted to Univ. of New Mexico, Dept. of Mechanical Engineering, Albuquerque, NM (US)

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  • Report No.: LA-13519-T
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 3545
  • Archival Resource Key: ark:/67531/metadc685325

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  • January 1, 1999

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  • July 25, 2015, 2:20 a.m.

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  • May 6, 2016, 2:20 p.m.

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Romero, C.A. Crenulative Turbulence in a Converging Nonhomogeneous Material, thesis or dissertation, January 1, 1999; New Mexico. (digital.library.unt.edu/ark:/67531/metadc685325/: accessed September 21, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.