2010/07/14 by Miguel Moyers-González, Miguel Moyers-Gonzalez, Teodor Burghelea +1
Chemical Engineering · Engineering · Mathematics · Medicine · Physics and Astronomy · #Bingham plastic #Blood properties and coagulation #Classical mechanics #Constitutive equation #Finite element method #Flow (mathematics) #Fluid Dynamics and Thin Films #Geometry #Hagen–Poiseuille equation #Instability #Linear stability #Materials science #Mathematics #Mechanics #Physics #Plane (geometry) #Reynolds number #Rheology #Rheology and Fluid Dynamics Studies #Thermodynamics #Turbulence #Viscoplasticity #physics.flu-dyn
paper · pdf · doi:10.1016/j.jnnfm.2011.02.007
published as Journal of Non-Newtonian Fluid Mechanics (2011), 166, 515-531
arxiv created 2010/07/14 · openalex publication_date 2011/02/26 · arxiv updated 2015/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study the linear stability of Plane Poiseuille flow of an elastoviscoplastic fluid using a revised version of the model proposed by Putz and Burghelea (Rheol. Acta (2009)48:673-689). The evolution of the microstructure upon a gradual increase of the external forcing is governed by a structural variable (the concentration of solid material elements) which decays smoothly from unity to zero as the stresses are gradually increased beyond the yield point. Stability results are in close conformity with the ones of a pseudo-plastic fluid. Destabilizing effects are related to the presence of an intermediate transition zone where elastic solid elements coexist with fluid elements. This region brings an elastic contribution which does modify the stability of the flow.