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Navier number and transition to turbulence

Abstract

The motivation behind this article is to explain a role of the Navier number (Na -dimensionless slip-length) in prediction of closures for laminar to turbulent transition undergoing via eddies detachment from the slip layer in nano-cannals. Additionally the role of the Navier number Na in universal modeling of phenomenon of enhanced mass flow rate reported in micro- and nano-channels has been explained. The Na number should be treated as a ratio of internal viscous to external viscous momentum transport and therefore this notion cannot be extended onto whole friction resistance phenomena. Our proposal for unique expressing of a critical point in turbulence transition is that on a plane of fD - Re one needs two coordinates. The second critical coordinate has been discovered by Stanton and Pannell and is known to be the Stanton-Pannell number StPa. Finally dependence of the Stanton-Pannell number StPa on Navier number Na and Reynolds number Re is presented.

Authors (2)

  • Photo of dr inż. Paweł Ziółkowski

    Paweł Ziółkowski dr inż.

    • Środowiskowe Studium Doktoranckie przy WM,Instytut Maszyn Przepływowych PAN Zakład Konwersji Energii
  • Photo of  Janusz Badur

    Janusz Badur

    • Instytut Maszyn Przepływowych PAN Zakład Konwersji Energii

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Details

Category:
Articles
Type:
artykuły w czasopismach recenzowanych i innych wydawnictwach ciągłych
Published in:
Journal of Physics : Conference Series pages 1 - 8,
ISSN: 1742-6588
Language:
English
Publication year:
2014
Bibliographic description:
Ziółkowski P., Badur J.: Navier number and transition to turbulence// journal of Physics : Conference Series. -., nr. 530 (2014), s.1-8
Verified by:
Gdańsk University of Technology

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