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Turbulent Shear Flows 7 pp 239–252Cite as

Reynolds Stress Evolution in Curved Two-Stream Turbulent Mixing Layers

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Abstract

The effects of moderate streamwise (longitudinal) curvature on the growth, development, mixing and turbulence transport in parallel, co-flowing, two-stream mixing (free-shear) layers have been experimentally investigated. Stabilizing and destabilizing configurations (in the Taylor-Görtler sense) with identical boundary and initial conditions have been studied and compared to a plane mixing layer. Flow visualization and three-component laser Doppler velocimetry (LDV) techniques have been applied to investigate these flows. It was found that destabilizing curvature enhances the streamwise growth rate of the shear layer. Turbulence production, three-dimensionality, and fine-scale mixing are enhanced by destabilizing curvature, as well.

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Abbreviations

r :

Moment of momentum ratio, (UR)min/(UR)max outside shear layer

R :

Local radius of streamline curvature, R c + Y

R c :

Mean radius of curvature at mid-profile, R c = R cl + Y 0

R cl :

Radius of arc that is centered on splitter plate trailing edge

Re δ :

Reynolds number = ΔUδ/v

U, V, W :

Mean velocities along x, y, and z directions

U*:

Normalized mean velocity, [(UR) - (UR)min]/[Rc × ΔU]

u′,v′,w′ :

Velocity fluctuations

x,y,z :

Streamwise, normal and spanwise coordinates

Y 0 :

Y shift, evaluated at mid-profile, ΔU/2

ΔU :

Velocity scale, (U 0 R 0 - U i R i )/R c

δ :

Slope thickness of the shear layer, based on straight line through the central portion of the layer

η :

Normalized cross-stream coordinate for profiles, (y - Y 0 )/δ

λ :

(1 + r)/(1 - r)

v :

Kinematic viscosity

θ :

Momentum thickness

σ :

Spreading parameter

σ 0 :

Spreading parameter for single-stream mixing layer

Ωx :

Streamwise component of vorticity

()i,()0 :

Inner or outer stream’s irrotational region

(UR)min :

UR in irrotational region of lower speed stream

(UR) max :

UR in irrotational region of higher speed stream

< >:

Time averaged quantity

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Authors and Affiliations

  1. Department of Mechanical Engineering, Thermosciences Division, Stanford University, Stanford, CA, 94305, USA

    Michael W. Plesniak & James P. Johnston

Authors
  1. Michael W. Plesniak
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  2. James P. Johnston
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Editor information

Editors and Affiliations

  1. Lehrstuhl für Strömungsmechanik, Universität Erlangen-Nürnberg, Cauerstraße 4, 8520, Erlangen, Germany

    Franz Durst

  2. Department of Mechanical Engineering, Institute of Science and Technology, University of Manchester, Manchester, M60 1QD, UK

    Brian E. Launder

  3. Mechanical Engineering Department, Thermosciences Division, Stanford University, Stanford, CA, 94305-3030, USA

    William C. Reynolds

  4. Mechanical Engineering Department, The Pennsylvania State University, University Park, PA, 16802, USA

    Frank W. Schmidt

  5. Department of Mechanical Engineering, Imperial College of Science and Technology, Exhibition Road, London, SW7 2BX, England

    James H. Whitelaw

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© 1991 Springer-Verlag Berlin Heidelberg

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Plesniak, M.W., Johnston, J.P. (1991). Reynolds Stress Evolution in Curved Two-Stream Turbulent Mixing Layers. In: Durst, F., Launder, B.E., Reynolds, W.C., Schmidt, F.W., Whitelaw, J.H. (eds) Turbulent Shear Flows 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76087-7_18

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  • DOI: https://doi.org/10.1007/978-3-642-76087-7_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-76089-1

  • Online ISBN: 978-3-642-76087-7

  • eBook Packages: Springer Book Archive

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