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

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Gravity currents

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circular bars

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square bars

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

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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

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Viscous-convective subrange

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

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Brethouwer, Hunt & Niewstadt (2003) Sc=0.7

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Brethouwer, Hunt & Niewstadt (2003) Sc=25

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(1997) Sc=3, 5, 7 forced

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

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Gravity currents, Waves, Froude number

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