Weakly Nonlinear Analysis of a Localized Disturbance in Poiseuille Flow

In this article, we investigate, via a perturbation analysis, some important nonlinear features related to the process of transition to turbulence in a wall‐bounded flow subject to a spatially localized disturbance that is harmonic in time. We show that the perturbation expansion, truncated at secon...

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Bibliographic Details
Published in:	Studies in applied mathematics (Cambridge) Vol. 105; no. 2; pp. 121 - 141
Main Authors:	Ponziani, D., Casciola, C. M., Zirilli, F., Piva, R.
Format:	Journal Article
Language:	English
Published:	Boston, USA and Oxford, UK Blackwell Publishers 01.08.2000 Blackwell
Subjects:	Exact sciences and technology Fluid dynamics Fundamental areas of phenomenology (including applications) Inviscid flows with vorticity Laminar flows Low-reynolds-number (creeping) flows Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Numerical approximation Ordinary differential equations Physics Sciences and techniques of general use Suction Perturbation theory Fluid dynamics Partial differential equations Eigenmode Reynolds number Digital simulation Blowing Equations of motion Laplacian Galerkin-Petrov method Incompressible flow Laminar flow Poiseuille flow Linearity Vorticity Boundary-value problems Initial value problems Interactions Orr Sommerfeld equation Navier-Stokes equations
ISSN:	0022-2526, 1467-9590
Online Access:	Get full text
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