Antisymmetric Aspects of a Perturbed Channel Flow

Abstract

AbstractThis paper aims at studying steady laminar flows of incompressible newtonian fluids in channels at high Reynolds numbers when wall deformations can lead to separation. Thanks to the use of generalized asymptotic expansions, cases are examined for which linearized Euler equations are a good approximation in the core flow. The extraction of the antisymmetric part of the problem leads to a new and promising approach of the flow structure understanding. Comparisons with Navier-Stokes solutions demonstrate the relevance of the proposed approach.