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Travelling waves in a straight square duct

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Uhlmann, Markus and Kawahara, Genta and Pinelli, Alfredo (2009) Travelling waves in a straight square duct. In Advances in Turbulence XII. Springer Proceedings in Physics (132). Springer, pp. 585-588. ISBN 978-3-642-03084-0

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Official URL: http://link.springer.com/chapter/10.1007/978-3-642-03085-7_140




Abstract

Isothermal, incompressible flow in a straight duct with square cross-section is known to be linearly stable [1]. Direct numerical simulation, on the other hand, has revealed that turbulence in this geometry is self-sustained above a Reynolds number value of approximately 1100, based on the bulk velocity and the duct half-width [2].
Numerous non-linear equilibrium solutions have already been identified in plane Couette, plane Poiseuille and pipe flows [3, 4, 5], and their role in the transition process as well as their relevance to the statistics of turbulent flow have been investigated [6, 7, 8]. No non-linear travelling-wave solutions for the flow through a square duct have been published to date.


Item Type:Book Section
Additional Information:

Proceedings of the 12th EUROMECH European Turbulence Conference, September 7-10, 2009, Marburg, Germany

Uncontrolled Keywords:Exact coherent structures; plane couette-flow; rectangular duct; pipe-flow; equilibrium; turbulence; stability
Subjects:Sciences > Physics > Thermodynamics
ID Code:21918
Deposited On:17 Jun 2013 11:31
Last Modified:12 Dec 2018 15:07

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