A quantum model for the onset of turbulence

Muriel, A.; Jirkovsky, L.; Dresden, Max

doi:10.1016/0167-2789(96)00005-x

Cited by 16 publications

(2 citation statements)

References 8 publications

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“…Muriel [20,21] argued for a molecular origin of turbulence, even claiming an exact solution for the Navier-Stokes equation [22], a claim that did not find favour with the Clay Institute. The final sentence of the abstract reads "No turbulence is obtained from the solution".…”

Section: Brief Historical Progressionmentioning

confidence: 99%

Molecular Origins of Turbulence

Tuck

2024

Meteorology

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The twin problems of closure and dissipation have been barriers to the analytical solution of the Navier–Stokes equation for fluid flow by top-down methods for two centuries. Here, the statistical multifractal analysis of airborne observations is used to argue that bottom-up approaches based on the dynamic behaviour of the basic constituent particles are necessary. Contrasts among differing systems will yield scale invariant turbulence, but not with universal analytical solutions to the Navier–Stokes equation. The small number of publications regarding a molecular origin for turbulence are briefly considered. Research approaches using suitable observations are recommended.

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Section: Brief Historical Progressionmentioning

confidence: 99%

Molecular Origins of Turbulence

Tuck

2024

Meteorology

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“…Generated from these parameters, the Reynolds number ͑R e ͒ has been used empirically to reasonably predict the regime of flow for gases in viscous flow. While several approaches in this vein have been attempted, [5][6][7][8][9][10][11][12][13][14] this remains controversial in the field of fluid mechanics as none has yet been sufficiently verified experimentally. Furthermore, a macroscopic description of the laminarturbulent transition mechanism based on the Navier-Stokes equations ͑NSEs͒ has not been successfully developed despite significant incentive and effort.…”

Section: Introductionmentioning

confidence: 99%

Pressure dependence of laminar-turbulent transition in gases

Hinkle

Muriel

Новопашин

2006

Journal of Vacuum Science &Amp; Technology A: Vacuum, Surfaces, and Films

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The transition between the laminar and turbulent flow regimes is traditionally addressed using the continuum formulation of the Navier-Stokes equations and dimensionless parameters such as the Reynolds number. However, a detailed understanding of the transition mechanisms has remained elusive. Theoretical approaches based on molecular and quantum mechanical models have been proposed but have yet to be thoroughly tested experimentally. In an effort to test a quantum-based model, specific apparatus and experiments have been designed to evaluate particular features of the laminar-turbulent transition. Hysteresis plots of flow versus differential pressure are used to examine the flow transition that occurs inside a tube with a divergent entrance. The hysteresis plots generated in these tests show several notable features and quantitative trends. The primary focus of this article is on the observed dependence of the laminar-turbulent transition behavior on the absolute pressure. Whereas the continuum-based model does not predict a pressure dependence of the laminar-turbulent transition, a molecular-based model indicates a pressure effect on the transition to turbulent flow.

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Is the Critical Reynolds Number a Universal Constant?

Новопашин

Muriel

2002

Engineering Turbulence Modelling and Experiments 5

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A quantum model for the onset of turbulence

Cited by 16 publications

References 8 publications

Molecular Origins of Turbulence

Molecular Origins of Turbulence

Pressure dependence of laminar-turbulent transition in gases

Is the Critical Reynolds Number a Universal Constant?

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