Two- and three-dimensional marginal separation of laminar, incompressible viscous jets

Citation
S. Braun et A. Kluwick, Two- and three-dimensional marginal separation of laminar, incompressible viscous jets, Z ANG MA ME, 80, 2000, pp. S623-S624
Citations number
2
Categorie Soggetti
Mechanical Engineering
Journal title
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
ISSN journal
00442267 → ACNP
Volume
80
Year of publication
2000
Supplement
3
Pages
S623 - S624
Database
ISI
SICI code
0044-2267(2000)80:<S623:TATMSO>2.0.ZU;2-5
Abstract
If a laminar two-dimensional viscous jet flows past a wall which is curved up an adverse pressure gradient forms inside the jet owing to the streamlin e curvature. As a consequence, solutions based on the boundary layer approx imation may terminate in the form of a Goldstein-singularity or may develop a marginal separation singularity. The fatter one is characterized by the fact that the wall shear stress vanishes in a single point but immediately recovers and can be used to develop a local interaction strategy which is a ble to describe small separation regions. In the present study the results obtained by Zametaev for locally plane walls are extended to include the ef fects of two- and three-dimensional obstacles. Special emphasis is placed o n the nonuniqueness of the solution for the wall shear stress distribution which is governed by a nonlinear integro-differential equation.