Similarity-Law Entrainment Method for Thick Axisymmetric Turbulent Boundary Layers in Pressure Gradients.

Abstract

Analytical relations have been derived for calculating developing thick, axisymmetric, turbulent boundary layer 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 similarity 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 layer 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. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1975
Accession Number
ADA031168

Entities

People

  • Paul S. Granville

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Bodies Of Revolution
  • Boundary Layer
  • Computational Fluid Dynamics
  • Coordinate Systems
  • Differential Equations
  • Engineering
  • Equations Of Motion
  • Experimental Data
  • Fluid Dynamics
  • Fluid Mechanics
  • Geometry
  • Mechanical Engineering
  • Mechanics
  • Model Basins
  • Pressure Gradients
  • Reynolds Number
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Fluid Mechanics and Fluid Dynamics.