Holloway, CR and Dyson, RJ and Smith, DJ (2014) Linear Taylor-Couette stability of a transversely isotropic fluid. [Dataset] (Submitted)
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Abstract
Fibre laden fluids are found in a variety of situations, whilst Taylor-Couette devices are used for flow spectroscopy of long biological molecules, such as DNA and proteins in suspension. The presence of these fibres can significantly alter the rheology of the fluid, and hence must be incorporated in any modelling undertaken.
A transversely isotropic fluid treats these suspensions as a continuum with an evolving preferred direction, through a modified stress tensor incorporating four viscosity parameters. We consider the axisymmetric linear stability of a transversely isotropic viscous fluid, contained between two rotating co-axial cylinders, and determine the critical wave and Taylor numbers for varying gap width and inner cylinder velocity (assuming the outer cylinder is fixed). Through the inclusion of transversely isotropic effects, the onset of instability is delayed, increasing the range of stable operating regimes. This effect is felt most strongly through incorporation of the anisotropic shear viscosity, although the anisotropic extensional viscosity also contributes. The changes to the rheology induced by the presence of the fibres therefore significantly alter the dynamics of the system, and hence should not be neglected.
Type of Work: | Dataset |
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School/Faculty: | Colleges (2008 onwards) > College of Engineering & Physical Sciences |
Department: | School of Mathematics and Statistics |
Additional Information: | Supporting data for "Linear Taylor-Couette stability of a transversely isotropic fluid", submitted to Proceedings of the Royal Society A.
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Date: | 2014 |
Subjects: | Q Science > QA Mathematics |
Funders: | EPSRC |
Copyright Status: | Creative Commons Attribution Licence. This dataset must be referenced if used in subsequent publications. |
Copyright Holders: | The Authors and University of Birmingham |
ID Code: | 1943 |
Available Versions of this Item
- Linear Taylor-Couette stability of a transversely isotropic fluid. (deposited 13 Jan 2015 13:05) [Currently Displayed]
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