NEAR-SIMILARITY APPROXIMATION FOR COMPRESSIBLE, LAMINAR BOUNDARY-LAYERS ON ADIABATIC WALLS

Authors
Citation
Hp. Horton, NEAR-SIMILARITY APPROXIMATION FOR COMPRESSIBLE, LAMINAR BOUNDARY-LAYERS ON ADIABATIC WALLS, Proceedings of the Institution of Mechanical Engineers. Part G, Journal of aerospace engineering, 211(G5), 1997, pp. 285-294
Citations number
28
ISSN journal
09544100
Volume
211
Issue
G5
Year of publication
1997
Pages
285 - 294
Database
ISI
SICI code
0954-4100(1997)211:G5<285:NAFCLB>2.0.ZU;2-T
Abstract
Two-dimensional, compressible, laminar boundary layers with zero heat transfer and a constant pressure gradient parameter are considered. Al though it is well known that exact similarity is, in general, only pos sible when the Prandtl number is equal to unity, it is shown here that , at least for Prandtl numbers in the range from 0.5 to 2.0, a careful choice of transformation gives partial differential equations in whic h the streamwise derivatives are practically negligible, irrespective of Mach number. The set of ordinary differential equations which resul ts from setting the streamwise derivatives to zero is proposed as a us eful approximation for generating families of velocity and temperature profiles, for use in database methods for analysing boundary layer st ability, for example.