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Transition Scenarios Due to Flow Bifurcations in Asymmetric Wavy Channel Flows With Different Spatial Periodicity on the Sinusoidal Walls

[+] Author Affiliations
Amador M. Guzman, Fernando A. Donoso

Universidad de Santiago de Chile, Santiago, Chile

Alfonso Ortega

Villanova University, Villanova, PA

Paper No. IMECE2008-66216, pp. 271-278; 8 pages
doi:10.1115/IMECE2008-66216
From:
  • ASME 2008 International Mechanical Engineering Congress and Exposition
  • Volume 10: Heat Transfer, Fluid Flows, and Thermal Systems, Parts A, B, and C
  • Boston, Massachusetts, USA, October 31–November 6, 2008
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-4871-5 | eISBN: 978-0-7918-3840-2
  • Copyright © 2008 by ASME

abstract

Numerical investigations of transition scenarios due to flow bifurcations from laminar to time-dependent transitional flows in asymmetric wavy channels with different spatial periodicity on the sinusoidal wall are performed by direct numerical simulations of the mass and momentum conservation equations using a spectral element method computational program. Three aspect ratios r = a/(2L) are considered in this study: 0.125, 0.25, y 0.375. Computational meshes for both extended and periodic computational domains are used to determine first, the existence of spatial periodicity and second, the transitional flow behavior for increasing Reynolds numbers. Numerical results shows that the transition scenarios are highly dependent on the aspect ratio, r. The following scenarios develop: a) a first transition scenario with one flow bifurcation to a relatively low Reynolds numbers, Rec ; b) a second scenario, with also one flow bifurcation, to a relatively high Reynolds numbers, Rec* ; and, c) a third flow transition scenario with two Hopf bifurcations B1 and B2 , occurring at critical Reynolds numbers Rec1 y Rec2 , respectively. In this third scenario, fundamental frequencies ω1 and ω2 , and sub and super harmonic combinations of the fundamental frequencies develop as the Reynolds number increases from a laminar to higher transitional flow regime. This transition scenario from a laminar flow to high transitional flow regimes is very similar to the Ruelle-Takens-Newhouse (RTN) found in another confined flow channels such as symmetric wavy, grooved and communicating channels.

Copyright © 2008 by ASME

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