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The Onset of Turbulence: Insights Into the Navier-Stokes Equations

[+] Author Affiliations
Carl E. Rathmann

California State Polytechnic University, Pomona, Pomona, CA

Paper No. FEDSM2017-69491, pp. V01AT01A001; 9 pages
doi:10.1115/FEDSM2017-69491
From:
  • ASME 2017 Fluids Engineering Division Summer Meeting
  • Volume 1A, Symposia: Keynotes; Advances in Numerical Modeling for Turbomachinery Flow Optimization; Fluid Machinery; Industrial and Environmental Applications of Fluid Mechanics; Pumping Machinery
  • Waikoloa, Hawaii, USA, July 30–August 3, 2017
  • Conference Sponsors: Fluids Engineering Division
  • ISBN: 978-0-7918-5804-2
  • Copyright © 2017 by ASME

abstract

For well over 150 years now, theoreticians and practitioners have been developing and teaching students easily visualized models of fluid behavior that distinguish between the laminar and turbulent fluid regimes. Because of an emphasis on applications, perhaps insufficient attention has been paid to actually understanding the mechanisms by which fluids transition between these regimes. Summarized in this paper is the product of four decades of research into the sources of these mechanisms, at least one of which is a direct consequence of the non-linear terms of the Navier-Stokes equation. A scheme utilizing chaotic dynamic effects that become dominant only for sufficiently high Reynolds numbers is explored. This paper is designed to be of interest to faculty in the engineering, chemistry, physics, biology and mathematics disciplines as well as to practitioners in these and related applications.

Copyright © 2017 by ASME

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