In his now classical paper on pressure gradient turbulent boundary layers, Clauser concluded that equilibrium flows were very special flows difficult to achieve experimentally and that few flows were actually in equilibrium [1]. However, using similarity analysis of the Navier–Stokes equations, Castillo and George [2] defined an equilibrium flow as one where the pressure parameter, was a constant. They further showed that most flows were in equilibrium and the exceptions were nonequilibrium flows where Λ≠constant. Using the equations of motion and similarity analysis, it will be shown that even nonequilibrium flows, as those over airfoils or with sudden changes on the external pressure gradient, are in equilibrium state, but only locally. Moreover, in the case of airfoils where the external pressure gradient changes from favorable to zero then to adverse, three distinctive regions are identified. Each region is given by a constant value of and each region remains in equilibrium with respectively.
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September 2004
Technical Papers
Similarity Analysis for Nonequilibrium Turbulent Boundary Layers*
Luciano Castillo,
Luciano Castillo
Rensselaer Polytechnic Institute, Department of Mechanical, Aerospace and Nuclear Engineering, Troy, NY 12180
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Xia Wang
Xia Wang
Rensselaer Polytechnic Institute, Department of Mechanical, Aerospace and Nuclear Engineering, Troy, NY 12180
Search for other works by this author on:
Luciano Castillo
Rensselaer Polytechnic Institute, Department of Mechanical, Aerospace and Nuclear Engineering, Troy, NY 12180
Xia Wang
Rensselaer Polytechnic Institute, Department of Mechanical, Aerospace and Nuclear Engineering, Troy, NY 12180
Contributed by the Fluids Engineering Division for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received by the Fluids Engineering Division October 18, 2002; revised manuscript received March 15, 2004. Associate Editor: T. B. Gatski.
J. Fluids Eng. Sep 2004, 126(5): 827-834 (8 pages)
Published Online: December 7, 2004
Article history
Received:
October 18, 2002
Revised:
March 15, 2004
Online:
December 7, 2004
Citation
Castillo , L., and Wang, X. (December 7, 2004). "Similarity Analysis for Nonequilibrium Turbulent Boundary Layers." ASME. J. Fluids Eng. September 2004; 126(5): 827–834. https://doi.org/10.1115/1.1789527
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