LARGE REYNOLDS NUMBER, ASYMPTOTIC THEORY OF TURBULENT BOUNDARY LAYERS

A self-consistent, asymptotic expansion of the one-point mean turbulent equations of motion is obtained. Results such as the velocity defect law and the law of the wall evolve in a relatively rigorous manner, and a systematic ordering of the mean velocity boundary layer equations and their interaction with the main stream flow are obtained. The analysis is extended to the turbulent energy equation and to a treatment of the small scale equilibrium range of Kolmogoroff; in velocity correlation space the two-thirds power law is obtained. Thus, the two well-known 'laws' of turbulent flow are imbedded in an analysis which provides a great deal of other information.

• Corporate Authors:

  Pergamon Press, Incorporated

  Maxwell House, Fairview Park
  Elmsford, NY  United States  10523
• Authors:
  • Mellor, G L
• Publication Date: 1972-10

Media Info

• Features: References;
• Pagination: p. 851-873
• Serial:
  • International Journal of Engineering Science
  • Volume: 10
  • Issue Number: 10
  • Publisher: Pergamon Press, Incorporated

Subject/Index Terms

• TRT Terms: Boundary layer; Flow; Turbulence; Turbulent boundary layer; Velocity
• Candidate Terms: Turbulent flow
• Old TRIS Terms: Boundary layer theory; Velocity profiles
• Subject Areas: Design; Marine Transportation;

Filing Info

• Accession Number: 00046611
• Record Type: Publication
• Source Agency: Engineering Index
• Files: TRIS
• Created Date: Oct 18 1973 12:00AM