Print Email Facebook Twitter Mean field model for turbulence transition in plane Poiseuille flow Part of: 15th EuropeanTurbulence Conference 2015 (ETC15)· list the conference papers Title Mean field model for turbulence transition in plane Poiseuille flow Author Eckhardt, B. Rath, M. Pausch, M. Date 2015-08-26 Abstract In the pipe flow model of Dwight Barkley the main idea is to model pipe flow as an excitable, bistable medium. Using a one-dimensional FitzHugh-Nagumo-type reaction-advection-diffusion system with two variables the model captures qualitatively a surprising number of features of the turbulence transition in pipe flow. Motivated by this success, we here describe a derivation of a set of two 1+1-dimensional coupled differential equations for the closely related system of plane Poiseuille flow from the Navier-Stokes equation. The model contains terms for the production of turbulent kinetic energy, its transfer between the modes and its dissipation by viscous terms. The model shows a bifurcation to a non-trivial state and reflects some of the complex dynamics observed in direct numerical simulations. To reference this document use: http://resolver.tudelft.nl/uuid:5510c371-8b5b-45e9-a950-0e3ac53a0c23 Part of collection Conference proceedings Document type conference paper Rights (c) 2015 the Authors Files PDF 312.pdf 302.17 KB Close viewer /islandora/object/uuid:5510c371-8b5b-45e9-a950-0e3ac53a0c23/datastream/OBJ/view