Premium
Near critical laminar flow past an expansion ramp
Author(s) -
Kluwick Alfred,
Braun Stefan,
Szeywerth Rene
Publication year - 2012
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201210218
Subject(s) - laminar flow , inviscid flow , mechanics , reynolds number , laminar sublayer , bifurcation , supercritical fluid , limit (mathematics) , physics , flow (mathematics) , mathematics , thermodynamics , classical mechanics , mathematical analysis , turbulence , nonlinear system , quantum mechanics
Steady two‐dimensional laminar flows past an expansion ramp are known to exist up to a critical ramp angle in the limit c as the Reynolds number tends to infinity. The theory of viscous‐inviscid interaction combined with a local bifurcation analysis is used to study the evolution of three‐dimensional unsteady perturbations if $|\alpha - \alpha_c| \ll 1$ for both sub‐ and supercritical conditions. Special emphasis is placed on the effects of controlling devices and the phenomenon of bubble bursting. (© 2012 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)