A UNIFIED VIEW OF THE LAW OF THE WALL USING MIXING-LENGTH THEORY

It is shown that, if the well-known mixing-length formula is regarded simply as a relationship between the velocity and the stress distributions in the wall region of a turbulent flow, then a truly universal distribution of mixing length is sufficient to describe the experimentally observed departures of the velocity distribution from the usual law of the wall as a result of severe pressure gradients and transverse surface curvature. Comparisons have been made with a wide variety of experimental data to demonstrate the general validity of the mixing-length model in describing the flow close to a smooth wall.

• Supplemental Notes:
  • Supersedes AD-749 371. Also available from Aeronautical Quarterly, V24, p55-70 Feb 73.
• Corporate Authors:

  University of Iowa, Iowa City

  Iowa Institute of Hydraulic Research, 300 South Riverside Drive
  Iowa City, IA  United States  52242-1585
• Authors:
  • Patel, V C
• Publication Date: 1972-9

Media Info

• Pagination: 17 p.

Subject/Index Terms

• TRT Terms: Boundary layer; Curvature; Distributions (Statistics); Flow; Fluid dynamics; Mathematical models; Mixing; Pipe; Reynolds stress; Shear rate; Shear stress; Time duration; Turbulence; Turbulent boundary layer; Velocity; Viscosity; Vortices; Walls
• Uncontrolled Terms: Fluid flow; Shear flow
• Old TRIS Terms: Annular channel flow; Boundary layer theory; Curved profiles; Eddy viscosity; Mixing length; Shear stresses; Velocity distribution; Velocity profiles; Wall shear stress
• Subject Areas: Design; Marine Transportation;

Filing Info

• Accession Number: 00047634
• Record Type: Publication
• Source Agency: National Technical Information Service
• Report/Paper Numbers: IIHR-Reprint-313
• Contract Numbers: N00014-68A-0196-0002
• Files: TRIS
• Created Date: Oct 18 1973 12:00AM