In the far field of a turbulent round jet, the Lumley decomposition in stretched spherical coordinates yields streamwise eigenfunctions that are Fourier modes with linearly growing wavelength and amplitude decaying as the -3/2 power of distance from the virtual origin.
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Lumley Decomposition of the Turbulent Round Jet Far-field. Part 1 -- Kinematics
In the far field of a turbulent round jet, the Lumley decomposition in stretched spherical coordinates yields streamwise eigenfunctions that are Fourier modes with linearly growing wavelength and amplitude decaying as the -3/2 power of distance from the virtual origin.