Calculation of Optimal Coordinates for Two-Dimensional Incompressible Flow.
Abstract
Two dimensional steady symmetric incompressible laminar flow past a class of blunt and sharp nosed bodies is investigated in optimal coordinates. The analysis is carried out for different problem parameters and the solution is specialized for the cases of the parabola, a semi-infinite thin flat plate and the flow against a vertical wall. The problem is formulated by mapping the body from a Cartesian plane into a conformal plane by applying a Schwarz-Christoffel transformation. Optimal coordinates are computed according to the classical first-order boundary-layer approximation as well as with a parabolized version of streamfunction vorticity form of the full Navier-Stokes equations. The analysis is carried out for two example problems, a semi-infinite thick plate and a semi-infinite blunted wedge. The solutions are obtained for different body geometries (bluntness parameters) in both examples. Results for skin friction, displacement thickness, pressure gradient parameter and optimal coordinates, for different problem parameters, are presented for unseparated flow cases. Physical quantities such as surface pressure gradient distribution, skin friction and displacement thickness for cases of flow past the parabola, the thin flat plate and flow against a vertical wall are compared with existing numerical and analytical results.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1979
- Accession Number
- ADA080443
Entities
People
- R. K. Rout
- R. T. Davis
Organizations
- University of Cincinnati