Journal ArticleDOI
Shear banding in reaction-diffusion models
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In this paper, a non-linear partial differential equation of the reaction-diffusion type is proposed to cope with the strongly inhomogeneous interface between the bands, constitutive models used in standard rheology must be supplemented by non-local terms.Abstract:
Shear banding occurs in the flow of complex fluids: various types of shear thinning and shear thickening micelle solutions and liquid crystals. In order to cope with the strongly inhomogeneous interface between the bands, constitutive models used in standard rheology must be supplemented by non-local terms. This leads rather generally to non-linear partial differential equations of the reaction-diffusion type. We use this formalism in order to explain some observed experimental features and as a guide for future research in this field.read more
Citations
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Journal ArticleDOI
Perspectives on shear banding in complex fluids
TL;DR: In this paper, the authors present an idiosyncratic view of the current state of shear banding in complex fluids, including applicability of models that have traditionally been used to model experiments, future directions and challenges for experimentalists, and issues surrounding vorticity banding.
Journal ArticleDOI
Properties, main applications and perspectives of worm micelles.
TL;DR: This tutorial review deals with one of the most remarkable forms of surfactant aggregates, described as having a flexible, elongated cylindrical shape, and the viscoelasticity of worm micelles and the relaxation mechanisms underlying this dominant property.
Journal ArticleDOI
Shear Banding of Complex Fluids
TL;DR: A review of recent work on shear banding in polymeric and soft glassy materials can be found in this paper, where the authors highlight their similarities and disparities, as well as the development of new techniques to probe the flow on multiple scales and with increasing spatial and temporal resolution.
Journal ArticleDOI
Recent experimental probes of shear banding
TL;DR: In this paper, the authors summarize the various tools for measuring locally the microstructure and the velocity field under shear, and a few results are extracted from current works to illustrate open questions and directions for future research.
Book ChapterDOI
Shear-Induced Transitions and Instabilities in Surfactant Wormlike Micelles
TL;DR: In this paper, the authors report recent developments on the shear-induced transitions and instabilities found in surfactant wormlike micelles, and describe three types of transitions and/or instabilities: shearthickening, shearbanding, and flow-aligning and tumbling instabilities characteristic of nematic structures.
References
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Journal ArticleDOI
Rheological properties of viscoelastic surfactant systems
Heinz Rehage,Heinz Hoffmann +1 more
TL;DR: Les proprietes rheologiques ainsi que la viscosite de cisaillement des solutions de chlorure de cetylpyridinium and de salicylate de sodium sont mesurees en fonction de la concentration en agent de surface et en sel.
Journal ArticleDOI
Front motion, metastability and subcritical bifurcations in hydrodynamics
TL;DR: In this paper, it is argued that the border separating in space two possible solutions of the flow equations (as turbulent and laminar in pipe flows or boundary layers) moves with a constant mean velocity, depending on the control parameter.
Journal ArticleDOI
Isotropic-to-nematic transition in wormlike micelles under shear
TL;DR: In this article, the linear and nonlinear rheology of surfactant solutions of elongated worm-like micelles were investigated for both semidilute and concentrated regimes.
Journal ArticleDOI
Matched Asymptotic Expansions: Ideas and Techniques
P. A. Lagerstrom,Carl M. Bender +1 more
TL;DR: The concept of singular perturbation theory was introduced in this paper and the concept of layer-type problems was introduced as a generalization of regular differential equations and partial differential equations.