Pattern formation induced by a differential Poiseuille flow

Autor:	Desiderio A. Vasquez, Luciano Stucchi
Rok vydání:	2014
Předmět:	Physics Steady state Advection General Physics and Astronomy Mechanics Hagen–Poiseuille equation Instability Physics::Fluid Dynamics Nonlinear system Classical mechanics Flow velocity Flow (mathematics) Reaction–diffusion system General Materials Science Physical and Theoretical Chemistry
Zdroj:	The European Physical Journal Special Topics. 223:3011-3020
ISSN:	1951-6401 1951-6355
Popis:	Differential advection, where a reactant is advected while another one is immobilized, leads to instabilities in reaction-advection-diffusion systems. In particular, a homogeneous steady state looses stability for strong enough flows, leading to chemical patterns moving in the direction of the flow. In this paper we study the effects of differential advection due to a two-dimensional Poiseuille flow. We carry out a linear stability analysis on a homogeneous state using an activator-inhibitor reaction. We find that shear dispersion induced by the Poiseuille flow may lead to instabilities at slower flow rates. We find that contrary to the one-dimensional system, the instability depends on which substance is advected. We find a critical average flow speed for instability depending on tube size. Numerical solutions of the nonlinear reaction-advection-diffusion result in patterns of constant shape propagating along the tube.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d0c5fc70810fa66f7433363f2e8432ab https://doi.org/10.1140/epjst/e2014-02314-8 Zobrazit plný text záznamu Full text from SpringerLink