ASYMPTOTIC ANALYSIS OF TURBULENT CHANNEL FLOW FOR MIXING-LENGTH THEORY

Limit process expansion techniques are used to analyze fully developed turbulent incompressible flow in an infinitely long channel with plane parallel walls. Closure of the Reynolds time-averaged equations of motion is effected through the introduction of an eddy viscosity linearly proportional to the mean rate of strain, such that the Reynolds stress is quadratic in the mean rate of strain; the closure is a generalization of mixing-length theory. Expansions are carried out in the limit of the turbulent Reynolds number going to infinity, where the turbulent Reynolds number is the ratio of the eddy viscosity to the molecular viscosity.

• Supplemental Notes:
  • Prepared in cooperation with University of Southern California, Los Angeles, Department of Aerospace Engineering, and TRW Systems Group, Redondo Beach, California, Fluid Mechanics Laboratory.
• Corporate Authors:

  Purdue University

  Project Squid Headquarters
  Lafayette, Indiana,   United States 
• Authors:
  • Bush, W B
  • Fendell, F E
• Publication Date: 1972-6

Media Info

• Pagination: 41 p.

Subject/Index Terms

• TRT Terms: Boundary layer; Flow; Reynolds stress; Turbulence
• Candidate Terms: Turbulent flow
• Old TRIS Terms: Boundary layer theory; Reynolds stresses
• Subject Areas: Design; Marine Transportation;

Filing Info

• Accession Number: 00040917
• Record Type: Publication
• Source Agency: National Technical Information Service
• Report/Paper Numbers: SQUID-TR-TRW-3-PU Tech Rpt
• Contract Numbers: N00014-67-A-02260005
• Files: TRIS
• Created Date: Feb 14 1973 12:00AM