Advances in Turbulence V pp 435-439 | Cite as
Properties of Dynamical Systems Describing the Evolution of Coherent Structures in a Transitional Boundary Layer
Abstract
To gain a better understanding of the evolution of a flat-plate boundary layer during the process of transition, we have constructed low-dimensional models for the dynamics of this flow that describe the behaviour in time of so-called ‘coherent structures’. These coherent structures were calculated at 23 streamwise positions within thin cross-stream slices of the boundary layer, evenly spaced between x = 407 mm and x = 470 mm distance from the leading edge of the flat plate. The Reynolds numbers based on displacement thickness at these positions were Re δ1 = 854 and Re δ1= 918, respectively. Each of the slices was about 1.2 mm thick in the streamwise direction and extended 24.5 mm in the span wise direction. The height of these slices corresponds to about three boundary layer thicknesses at the first position considered, and about two boundary layer thicknesses at the last.
Keywords
Boundary Layer Direct Numerical Simulation Coherent Structure Proper Orthogonal Decomposition Boundary Layer ThicknessPreview
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References
- Kachanov, Y.S.; Kozlov, V.V.; Levchenko, V.Y.; Ramazanov, M.P. (1985) On Nature of K-Breakdown of a Laminar Boundary-Layer. New Experimental Data. In Laminar—Turbulent Transition (ed. V. V. Kozlov), pp. 61–73. Springer, New York.CrossRefGoogle Scholar
- Kloker, M. (1992) Numerische Untersuchungen zum laminar-turbulenten Strömungs- umschlag in einer stark verzögerten Grenzschicht. Dissertation, University of Stuttgart.Google Scholar
- Kloker, M.; Konzelmann, U.; Fasel, H. (1993) Outflow Boundary Conditions for Spatial Navier-Stokes Simulations of Transition Boundary Layers. AIAA Journal31, No. 4, pp. 620–628.ADSCrossRefGoogle Scholar
- Rempfer, D. (1991) Kohärente Strukturen und Chaos beim laminar-turbulenten Grenz- schichtumschlag. Dissertation, University of Stuttgart.Google Scholar
- Rempfer, D. (1994) On the Structure of Dynamical Systems Describing the Evolution of Coherent Structures in a Flat-Plate Boundary Layer. Phys. Fluids A6 (3), pp. 1402–1404.ADSMATHCrossRefGoogle Scholar
- Rempfer,D; Fasel, H. (1994a) Evolution of Three-Dimensional Coherent Structures in a Flat-Plate Boundary Layer. J. Fluid Mech.260, pp. 351–375.ADSCrossRefGoogle Scholar
- Rempfer, D; Fasel, H. (1994b) Dynamics of Three-Dimensional Coherent Structures in a Flat-Plate Boundary Layer, to appear in J. Fluid Mech.Google Scholar
- Rlst, U. (1990) Numerische Untersuchung der raumlichen, dreidimensionalen Strömungsentwicklung beim Grenzschichtumschlag. Dissertation, University of Stuttgart.Google Scholar
- Rlst, U.; Fasel, H. (1994) Numerical Simulation of Transition in a Flat-Plate Boundary Layer, submitted to J. Fluid Mech.Google Scholar
- Slrovlch, L. (1987) Turbulence and the Dynamics of Coherent Structures. Quart. Appl. Math.45, pp. 561-590MathSciNetADSGoogle Scholar