Asymptotic persistence of collective modes in shear flows

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Description

A new nonasymptotic method is presented that reveals an unexpected richness in the spectrum of fluctuations sustained by a shear flow with nontrivial arbitrary mean kinematics. The vigor of the method is illustrated by analyzing a two-dimensional, compressible hydrodynamic shear flow. The temporal evolution of perturbations spans a wide range of nonexponential behavior from growth-cum oscillations to monotonic growth. The principal characteristic of the revealed exotic collective modes in their asymptotic persistence. {open_quotes}Echoing{close_quotes} as well as unstable (including parametrically-driven) solutions are displayed. Further areas of application, for both the method and the new physics, are outlined.

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15 p.

Creation Information

Mahajan, S.M. & Rogava, A.D. March 31, 1998.

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  • Mahajan, S.M. Abdus Salam International Centre for Theoretical Physics, Trieste (Italy)
  • Rogava, A.D. Abdus Salam International Centre for Theoretical Physics, Trieste (Italy)

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Description

A new nonasymptotic method is presented that reveals an unexpected richness in the spectrum of fluctuations sustained by a shear flow with nontrivial arbitrary mean kinematics. The vigor of the method is illustrated by analyzing a two-dimensional, compressible hydrodynamic shear flow. The temporal evolution of perturbations spans a wide range of nonexponential behavior from growth-cum oscillations to monotonic growth. The principal characteristic of the revealed exotic collective modes in their asymptotic persistence. {open_quotes}Echoing{close_quotes} as well as unstable (including parametrically-driven) solutions are displayed. Further areas of application, for both the method and the new physics, are outlined.

Physical Description

15 p.

Notes

OSTI as DE98004572

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  • Other Information: PBD: 31 Mar 1998

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  • Other: DE98004572
  • Report No.: DOE/ER/54346--817
  • Report No.: IFSR--817
  • Grant Number: FG03-96ER54346
  • DOI: 10.2172/587669 | External Link
  • Office of Scientific & Technical Information Report Number: 587669
  • Archival Resource Key: ark:/67531/metadc694835

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Creation Date

  • March 31, 1998

Added to The UNT Digital Library

  • Aug. 14, 2015, 8:43 a.m.

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  • Aug. 10, 2016, 2:09 p.m.

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Mahajan, S.M. & Rogava, A.D. Asymptotic persistence of collective modes in shear flows, report, March 31, 1998; Austin, Texas. (digital.library.unt.edu/ark:/67531/metadc694835/: accessed October 17, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.