A defect stream function, law of the wall/wake method for compressible turbulent boundary layersThe application of the defect stream function to the solution of the two-dimensional, compressible boundary layer is examined. A law of the wall/law of the wake formulation for the inner part of the boundary layer is presented which greatly simplifies the computational task near the wall and eliminates the need for an eddy viscosity model in this region. The eddy viscosity model in the outer region is arbitrary. The modified Crocco temperature-velocity relationship is used as a simplification of the differential energy equation. Formulations for both equilibrium and nonequilibrium boundary layers are presented including a constrained zero-order form which significantly reduces the computational workload while retaining the significant physics of the flow. A formulation for primitive variables is also presented. Results are given for the constrained zero-order and second-order equilibrium formulations and are compared with experimental data. A compressible wake function valid near the wall has been developed from the present results.
Document ID
19890037745
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Barnwell, Richard W. (NASA Langley Research Center Hampton, VA, United States)
Dejarnette, Fred R. (North Carolina State University Raleigh, United States)
Wahls, Richard A. (NASA Langley Research Center Hampton, VA, United States)