AN INVERSE PROBLEM IN BOUNDARY-LAYER FLOWS: NUMERICAL DETERMINATION OF PRESSURE GRADIENT FOR A GIVEN WALL SHEAR

The problem of determining a pressure gradient distribution that will produce a specified shear force on a body surface in boundary-layer flows is considered. This leads to an 'overdetermined' boundary value problem for a partial differential equation containing an unknown coefficient. A numerical procedure for determining the coefficient is given along with several worked out examples including both similar and nonsimilar flows. The method essentially treats the unknown coefficient as an eigenvalue which is computed using Newton's method. This in turn employs an efficient finite difference scheme for computing standard boundary-layer flows. (Modified author abstract)

• Supplemental Notes:
  • Availability: Pub. in Jnl. of Computational Physics, v10 n1 p151-161 Aug 72.
• Corporate Authors:

  California Institute of Technology

  1201 East California Street
  Pasadena, CA  United States  91125
• Authors:
  • Keller, H B
  • Cebeci, T
• Publication Date: 1971-11-23

Media Info

• Pagination: 13 p.

Subject/Index Terms

• TRT Terms: Atmospheric pressure; Boundary layer; Boundary layer flow; Boundary value problems; Distributions (Statistics); Flow; Flow fields; Numerical analysis; Partial differential equations; Pressure; Shear rate; Shear stress; Turbulence; Turbulent boundary layer; Walls
• Uncontrolled Terms: Pressure distribution; Shear flow
• Old TRIS Terms: A; Boundary layer theory; Pressure gradient; Shear stresses; Wall shear stress
• Subject Areas: Design; Marine Transportation;

Filing Info

• Accession Number: 00048407
• Record Type: Publication
• Source Agency: National Technical Information Service
• Files: TRIS
• Created Date: Nov 14 1973 12:00AM