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Three related proposals for a theoretical definition of turbulence

A. Muriel

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 4, 311-317

Abstract: We pull together some developments in turbulence research to make three propositions: (1) when the steady-state solution of any transport equation produces multi-valued velocity fields, the system described is turbulent, (2) turbulent–laminar transitions are marked by the occurrence of a singularity in the derivative of velocity with respect to time, (3) the onset of turbulence in noble gases may be described quantum mechanically using the cell model of a gas, producing two testable laws describing the critical pressure of a turbulent gas.

Keywords: New theoretical definition of turbulence; Failure of continuum theory; Quantum model of turbulence (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:4:p:311-317

DOI: 10.1016/j.physa.2008.10.036

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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