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Effects of axisymmetric strain on a passive scalar field: modelling and experiment

  • A. GYLFASON (a1) and Z. WARHAFT (a2)

Abstract

Homogeneous, approximately isotropic turbulence at two Taylor-scale Reynolds numbers, Rλ=50, 190, with a mean transverse temperature gradient is passed through an axisymmetric contraction. The effects of the straining on the velocity field, and on the passive scalar field, are investigated within the contraction as are the effects of releasing the strain in the post-contraction region. Components of the fluctuating velocity and scalar gradient covariance are measured in order to understand their relation to the large-scale anisotropy of the flow. The scale-dependent spectral evolution of the scalar is also determined. A tensor model is constructed to predict the evolution of the fluctuating scalar gradient covariance. The model constants are determined in the post-contraction relaxation region, where the flow geometry does not vary. The model is shown to perform well throughout the flow, even in the contraction in which the geometry varies. Rapid distortion theory is applied to the scalar field in the contraction, and its solutions are compared to the experimental results.

Copyright

Corresponding author

Email address for correspondence: armann@ru.is

References

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Ayyalasomayajula, S. & Warhaft, Z. 2006 Nonlinear interactions in strained axi-symmetric high-Reynolds-number turbulence. J. Fluid Mech. 566, 273307.
Batchelor, G. K 1953 The Theory of Homogeneous Turbulence. Cambridge University Press.
Bilger, R. W. 2004 Some aspects of scalar dissipation. Flow Turb. Combust. 72 (2), 93114.
Chung, M. K. & Kim, S. K. 1995 A nonlinear return-to-isotropy model with Reynolds-number and anisotropy dependency. Phys. Fluids 6, 14251437.
Comte-Bellot, G. & Corrsin, S. 1966 The use of a contraction to improve the isotropy of grid-generated turbulence. J. Fluid Mech. 25, 657682.
Dimotakis, P. E. 2005 Turbulent mixing. Annu. Rev. Fluid Mech. 37, 329356.
Gylfason, A., Ayyalasomayajula, S. & Warhaft, Z. 2004 Intermittency, pressure and acceleration statistics from hot-wire measurements in wind-tunnel turbulence. J. Fluid Mech. 501, 213229.
Gylfason, A. & Warhaft, Z. 2004 On higher order passive scalar structure functions in grid turbulence. Phys. Fluids 16, 40124019.
Hanjalic, 1994 Advanced turbulence closure models: a view of current status and future prospects. J. Heat Fluid Flow 15, 178203.
Hunt, J. C. R. & Carruthers, D. J. 1990 Rapid distortion theory and the problems of turbulence. J. Fluid Mech. 212, 497532.
Launder, B. E., Reece, G. J. & Rodi, W. 1975 Progress in development of a Reynolds-stress turbulent closure. J. Fluid Mech. 68, 537566.
Lumley, J. L. & Newman, G. R. 1977 Return to isotropy of homogeneous turbulence. J. Fluid Mech. 82, 161178.
Makita, H. 1991 Realization of a large-scale turbulence field in a small wind tunnel. Fluid Dyn. Res. 8, 5364.
Meneveau, C. & Katz, J. 2000 Scale-invariance and turbulence models for large-eddy simulation. Annu. Rev. Fluid Mech. 32, 132.
Mydlarski, L. & Warhaft, Z. 1996 On the onset of high Reynolds number grid-generated wind-tunnel turbulence. J. Fluid Mech. 320, 331368.
Mydlarski, L. & Warhaft, Z. 1998 Passive scalar statistics in high-Péclet-number grid turbulence. J. Fluid Mech. 358, 135175.
Newman, G. R., Launder, B. E. & Lumley, J. L. 1981 Return to isotropy of homogeneous turbulence. J. Fluid Mech. 111, 135232.
O'Young, F. & Bilger, R. W. 1997 Scalar gradient and related quantities in turbulent premixed flame. Combust. Flames 109 (4), 682700.
Peters, N. 1983 Local quenching due to flame stretch and non-premixed turbulent combustion. Combust. Sci. Tech. 30, 117.
Pope, S. B. 1990 Computations of turbulent combustion: progress and challenges. In 23rd Symp. on Combustion, Pittsburg, PA.
Pope, S. B. 2000 Turbulent Flows. Cambridge University Press.
Prandtl, L. 1933 Attaining a steady air stream in wind tunnels. TM 726, NACA.
Rahai, H. R. & LaRue, J. C. 1995 The distortion of passive scalar by two-dimensional objects. Phys. Fluids 7 (1), 98107.
Reynolds, W. C. & Kassinos, S. C. 1995 One-point modelling of rapidly deformed homogeneous turbulence. Proc. R. Soc. Lond. A 451, 87104.
Rogers, M. M. 1991 The structure of a passive scalar field with a uniform mean gradient in rapidly sheared homogeneous turbulent flow. Phys. Fluids 3 (1), 144154.
Rotta, J. 1951 Statistische theorie nichthomogener turbulenz. Z. Phys. 129, 547572.
Savill, A. M. 1987 Recent developments in rapid-distortion theory. Annu. Rev. Fluid Mech. 19, 531575.
Sirivat, A. & Warhaft, Z. 1983 The effect of a passive cross-stream temperature gradient on the evolution of temperature variance and heat flux in grid turbulence. J. Fluid Mech. 128, 326346.
Taylor, G. I. 1933 Turbulence in a contracting stream. Zeit. Angew. Math. Mech. 15, 9196.
Tennekes, H. & Lumley, J. L. 1972 A First Course in Turbulence. MIT Press.
Townsend, A. A. 1976 The Structure of Turbulent Shear Flow. Cambridge University Press.
Warhaft, Z. 1980 An experimental study of the effect of uniform strain on thermal fluctuations in grid-generated turbulence. J. Fluid Mech. 99, 545573.
Warhaft, Z. 2000 Passive scalars in turbulent flows. Annu. Rev. Fluid Mech. 32, 203240.
Wyngaard, J. C. 1988 The effects of probe-induced flow distortion on atmospheric turbulence measurements: extension to scalars. J. Atmos. Sci. 45, 3400.
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Effects of axisymmetric strain on a passive scalar field: modelling and experiment

  • A. GYLFASON (a1) and Z. WARHAFT (a2)

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