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Three related proposals for a theoretical definition of turbulence

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  • Muriel, A.

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.

Suggested Citation

  • Muriel, A., 2009. "Three related proposals for a theoretical definition of turbulence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(4), pages 311-317.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:4:p:311-317
    DOI: 10.1016/j.physa.2008.10.036
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    Cited by:

    1. Aquino, A.I. & Bo-ot, L.Ma.T., 2016. "Multivalued behavior for a two-level system using Homotopy Analysis Method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 443(C), pages 358-371.

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