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Memory effect in a turbulent boundary-layer flow due to a relatively strong axial variation of the mean-velocity gradient

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Abstract

Measurements have been made of the distributions of mean velocity, turbulence intensities and turbulence shear-stress in a turbulent boundary-layer downstream of a hemi-spherical cap attached onto the plane rigid wall. The eddy-viscosity, when computed in the classical way according to Boussinesq's concept from the lateral gradient of the mean velocity and the turbulence shear-stress, showed a very strong non-uniform lateral distribution, also across the outer region of the boundary-layer. Moreover, the non-dimensional values of the eddy-viscosity, using the wall-friction velocity and the boundary-layer thickness as the velocity scale and length scale respectively, were higher than those for the boundary-layer when not disturbed by the wake of the spherical cap.

However, when account is taken of an axial memory effect of the stream-wise variation of the lateral gradient of the mean-velocity, the values of the non-dimensional eddy viscosity are close to those for the undisturbed boundary-layer.

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Hinze, J.O., Sonnenberg, R.E. & Builtjes, P.J.H. Memory effect in a turbulent boundary-layer flow due to a relatively strong axial variation of the mean-velocity gradient. Appl. Sci. Res. 29, 1–13 (1974). https://doi.org/10.1007/BF00384127

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Keywords

  • Memory Effect
  • Turbulence Intensity
  • Lateral Distribution
  • Eddy Viscosity
  • Rigid Wall