Shear banding in reaction-diffusion models |
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| Authors: | Ovidiu Radulescu Peter D Olmsted C-Y David Lu |
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| Institution: | (1) IRC in Polymer Science and Technology Department of Physics and Astronomy University of Leeds, Leeds, LS2 9JT, UK e-mail: p.d.olmsted@leeds.ac.uk, GB;(2) Department of Physics National Central University Chung-li, Taiwan 320, Republic of China, TW |
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| 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.
Received: 17 May 1999/Accepted: 3 August 1999 |
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| Keywords: | Non-linear rheology Flow instabilities Shear banding Constitutive equations Johnson-Segalman Model |
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