ASYMPTOTIC ANALYSIS OF THE TURBULENT BOUNDARY LAYER WITH ZERO WALL STRESS

The (so-called) continuously separating incompressible turbulent boundary layer, where the impressed pressure gradient is such as to produce zero stress at the wall, is studied by means of second-order closure of the Reynolds time-averaged equations. The closure employs an eddy viscosity which is the product of two properties of the turbulence: the mean turbulent kinetic energy and the local integral scale of the turbulence; each of these properties is described by a transport equation balancing convection, production, diffusion, and dissipation. Limit process expansions are adopted in the limit of large turbulent Reynolds number to elucidate a two-layer structure. (Modified author abstract)

• Supplemental Notes:
  • Prepared in cooperation with TRW Systems Group, Redondo Beach, Calif.
• Corporate Authors:

  Purdue University

  Project Squid Headquarters
  Lafayette, Indiana,   United States 
• Authors:
  • Bush, W B
  • Fendell, F E
• Publication Date: 1973-10

Media Info

• Pagination: 32 p.

Subject/Index Terms

• TRT Terms: Approximation (Mathematics); Asymptotic expansion; Atmospheric pressure; Boundary layer; Boundary layer separation; Equations of motion; Partial differential equations; Reynolds number; Shear stress; Turbulence; Turbulent boundary layer; Walls
• Old TRIS Terms: Asymptotoc series; Boundary layer theory; Incompressible flow; Pressure gradient; Shear stresses; Squid project; Wall shear stress
• Subject Areas: Design; Marine Transportation;

Filing Info

• Accession Number: 00051779
• Record Type: Publication
• Source Agency: National Technical Information Service
• Report/Paper Numbers: SQUID-TR-TRW-8-PU Tech Rpt
• Contract Numbers: N00014-67-A-0226-000
• Files: TRIS
• Created Date: Mar 25 1974 12:00AM