SIMILARITY-LAW ENTRAINMENT METHOD FOR THICK AXISYMMETRIC TURBULENT BOUNDARY LAYERS IN PRESSURE GRADIENTS

Analytical relations have been derived for calculation of developing thick, axisymmetric, turbulent boundary layers in a pressure gradient from two simultaneous differential equations: momentum and shape parameter. An entrainment method is used to obtain the shape parameter equation. Both equations incorporate the velocity similarily laws that provide a two-parameter velocity profile general enough to include any range of Reynolds numbers. Newly defined "quadratic" shape parameters which arise from the geometry of the thick axisymmetric boundary layers are analytically related to the two-dimensional shape parameter by means of these velocity similarity laws. The variation of momentum loss, boundary-layer thickness, local skin friction, and local velocity profile may be calculated for the axisymmetric turbulent boundary layers on underwater bodies, including the thick boundary layers on the tails. The various formulations are shown to correlate well with available experimental data.

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  • Corporate Authors:

    Society of Naval Architects and Marine Engineers

    601 Pavonia Avenue
    Jersey City, NJ  United States  07306-2907
  • Authors:
    • Granville, P S
  • Publication Date: 1978-9

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Filing Info

  • Accession Number: 00183195
  • Record Type: Publication
  • Source Agency: Society of Naval Architects and Marine Engineers
  • Files: TRIS
  • Created Date: Oct 31 1978 12:00AM