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ENVIRONMENTAL TURBULENCE 2 José Manuel REDONDO (*) Universitat Politècnica de Catalunya, Barcelona, Spain. Turbulence Course Vilanova i la Geltru.

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Presentation on theme: "ENVIRONMENTAL TURBULENCE 2 José Manuel REDONDO (*) Universitat Politècnica de Catalunya, Barcelona, Spain. Turbulence Course Vilanova i la Geltru."— Presentation transcript:

1 ENVIRONMENTAL TURBULENCE 2 José Manuel REDONDO (*) Universitat Politècnica de Catalunya, Barcelona, Spain. Turbulence Course Vilanova i la Geltru

2 1.Scalar mixing 2.Turbulence Spectrum 3.Correlations 4.Energy and Vorticity 5.Transport Equations 6. More Length Scales

3 Gravity currents

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8 circular bars

9 square bars

10 Antonia, Smalley, Zhou, Anselmet & Danaila (2003)

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14 Batchelor (1959) argued that for Sc»1 the rate of strain should be approximately uniform over regions of space which are small compared to  the highest scalar wavenumber vectors would align with the compression axes of the local rate of strain tensor and be convected rapidly to higher until the wavelength decreases to about

15 Viscous-convective subrange

16 Viscous-convective and viscous-diffusive subranges Kraichnan (1968,1974) Batchelor (1959)

17 Brethouwer, Hunt & Niewstadt (2003) Sc=0.7

18 Brethouwer, Hunt & Niewstadt (2003) Sc=25

19 (1997) Sc=3, 5, 7 forced

20 Brethouwer & Niewstadt (1999) R =22, Sc=144 forced vs decaying

21 Gravity currents, Waves, Froude number

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