ASYMPTOTIC ANALYSIS OF TURBULENT CHANNEL AND BOUNDARY-LAYER FLOW

Asymptotic expansion techniques are used, in the limit of large Reynolds number, to study the structure of fully turbulent shear layers. The relevant Reynolds number characterizes the ratio of the local turbulent stress to the local laminar stress, where, so that a relatively thick outer defect layer, in which, to lowest order, there is a balance between turbulent stress and convection of momentum, may be distinguished from a relatively thin wall layer, in which, to lowest order, there is a balance between turbulent and laminar stresses. The two cases examined are channel (or pipe) flow and two-dimensional boundary-layer flow with an applied pressure gradient, upstream of any separation. Results are carried to higher orders of approximation to indicate what properties for the friction velocity, integral thickness, and velocity profiles, and what conditions for similarity are implied by current eddy-viscosity closures.

• Supplemental Notes:
  • Also available in Journal of Fluid Mechanics, V56 Pt 4, pp 657-681, 1972. Prepared in cooperation with University of Southern California, Los Angeles and Purdue University, Lafayette, Indiana. Project Squid Headquarters, Contract N00014-67-A-0226-0005. Revision of report dated 19 January 1972.
• Corporate Authors:

  TRW Systems Group

  One Space Park
  Redondo Beach, CA  United States  90278
• Authors:
  • Fendell, F E
  • Bush, W B
• Publication Date: 1972-5-12

Media Info

• Pagination: 28 p.

Subject/Index Terms

• TRT Terms: Boundary layer; Boundary layer flow; Pipe flow; Shear stress; Turbulence; Turbulent boundary layer; Velocity; Walls
• Old TRIS Terms: Velocity profiles; Wall shear stress
• Subject Areas: Design; Marine Transportation;

Filing Info

• Accession Number: 00047658
• Record Type: Publication
• Source Agency: National Technical Information Service
• Report/Paper Numbers: AROD-6453:31-E
• Contract Numbers: DAHC04-67-C-0015
• Files: TRIS
• Created Date: Oct 31 1973 12:00AM