Turbulence lecture 22

Turbulence lecture 22 - Turbulence Lecture 22 Smaller scale...

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Turbulence Lecture 22 Smaller scale motions cause the lack of large scale motion; non-linearity counteracts this. In the grid experiment far downstream where the non-linearities are very weak – “final period of decay.” () 0 0 i ii i ii u pu pu p rx x Pr ∂∂ == ′′ = ± = Pressure forces have no effect on ii R , but only on each component. The pressure forces redistribute the energy among the components. The Inertial terms ij I at zero spatial lag. 00 ij j i k i k j i j k kk k I u uu u uuu xx x =− = ± by homogeneity. 0 ij I = ± ii 0 , the inertial terms don’t affect overall content of the energy spectra (Fourier transform of R ) The non-linear terms conserve energy, change the scales of energy. Pressure terms also conserve energy, they don’t change the scales, but they change directions. The equation for ( , ij ) R rt ± or its Fourier Transform are the starting point for a number of theories.
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This note was uploaded on 06/07/2011 for the course EGM 6341 taught by Professor Mei during the Spring '09 term at University of Florida.

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Turbulence lecture 22 - Turbulence Lecture 22 Smaller scale...

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