AN IMPLICIT NUMERICAL SOLUTION OF THE TURBULENT THREE-DIMENSIONAL INCOMPRESSIBLE BOUNDARY LAYER EQUATIONS

A method of solving the three-dimensional, incompressible turbulent boundary-layer equations was developed using a Crank-Nicholson implicit finite-difference technique, with the turbulent stress terms modeled with an eddy-viscosity model obtained from mixing length theory. The method was applied to two three-dimensional flow geometries for which experimental data exists and a comparison with this data showed excellent agreement. A complete computer program was sufficiently generalized for application to two-dimensional laminar and turbulent flows with arbitrary pressure gradients. The method was applied to several such test cases and the solutions agreed well with both theory and experiment. An analysis was presented to determine the conditions for which the finite difference equations were stable and convergent. (Author)

• Corporate Authors:

  Virginia Polytechnic Institute and State University, Blacksburg

  Department of Agronomy
  Blacksburg, VA  United States  24061
• Authors:
  • Pierce, F J
  • Klinksiek, W F
• Publication Date: 1971-7

Media Info

• Pagination: 158 p.

Subject/Index Terms

• TRT Terms: Boundary layer; Finite differences; Shear stress; Turbulence; Turbulent boundary layer
• Old TRIS Terms: Boundary layer theory; Shear stress distribution
• Subject Areas: Design; Marine Transportation;

Filing Info

• Accession Number: 00024764
• Record Type: Publication
• Source Agency: National Technical Information Service
• Report/Paper Numbers: VPIE7114AROD6858:6-EIntrm Rpt
• Contract Numbers: DAHC04-67-C-0008
• Files: TRIS
• Created Date: Jan 14 1972 12:00AM