2009/09/02 by Suzanne M. Fielding, Fielding, Suzanne M., Helen J. Wilson +1 · 2 citations
Chemical Engineering · Engineering · Medicine · Physics and Astronomy · #Blood properties and coagulation #Classical mechanics #Composite material #Computer science #FOS: Physical sciences #Flow (mathematics) #Fluid Dynamics and Turbulent Flows #Hagen–Poiseuille equation #Instability #Materials science #Mechanics #Microfluidics #Nanotechnology #Physics #Planar #Rheology #Rheology and Fluid Dynamics Studies #Rheometer #Shear (geology) #Shear flow #Shear rate #Soft Condensed Matter (cond-mat.soft) #cond-mat.soft
paper · pdf · doi:10.48550/arxiv.0909.0447
published in arXiv (Cornell University) (Cornell University) · 7 pages, 7 figures
arxiv created 2009/09/02 · openalex publication_date 2009/09/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Motivated by the need for a theoretical study in a planar geometry that can easily be implemented experimentally, we study the pressure driven Poiseuille flow of a shear banding fluid. After discussing the "basic states" predicted by a one dimensional calculation that assumes a flat interface between the bands, we proceed to demonstrate such an interface to be unstable with respect to the growth of undulations along it. We give results for the growth rate and wavevector of the most unstable mode that grows initially, as well as for the ultimate flow patterns to which the instability leads. We discuss the relevance of our predictions to the present state of the experimental literature concerning interfacial instabilities of shear banded flows, in both conventional rheometers and microfluidic channels.