• Spectrum of axi-symmetric turbulence in a contracting stream

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    • Keywords


      Velocity Ratio; Incompressible Flow; Turbulence Level; Isotropic Turbulence; Turbulent Fluctuation

    • Abstract


      The passage of axi-symmetric turbulence in a suddenly contracting stream has been investigated. A form of axi-symmetric tensor suitable for this study has been derived. Assuming that the form of turbulence is initially axi-symmetric, upstream of the contraction, the spectral forms downstream have been given. The ratio of the turbulence levels, on either side of the contraction, has been evaluated in integral form. Further, the integrals have been solved, assuming that the defining scalars are functions only of the wave number Κ. The method of evaluating one-dimensional spectra has been indicated. The whole investigation is based on the linearised approach.

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© 2021-2022 Indian Academy of Sciences, Bengaluru.