Linear Taylor-Couette stability of a transversely isotropic fluid

70 15 217 5 310 document 217 Holloway_Dyson_Smith_Supporting_Data.zip application/zip 0e7c9370b2ab7bcee4f32e0e9d24a4ad MD5 279035061 2015-02-27 16:31:43 http://edata.bham.ac.uk/70/1/Holloway_Dyson_Smith_Supporting_Data.zip 70 1 1 application/zip application/zip MATLAB en public cc_by

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data http://eprints.org/relation/isVersionOf http://edata.bham.ac.uk/id/document/225720 http://eprints.org/relation/isVolatileVersionOf http://edata.bham.ac.uk/id/document/225720 http://eprints.org/relation/ispreviewThumbnailVersionOf http://edata.bham.ac.uk/id/document/225720 archive 4 disk0/00/00/00/70 2015-02-27 17:16:19 2018-05-25 15:33:44 2018-05-25 12:16:19 dataset 1943 show 0 Holloway CR cxh985@bham.ac.uk Dyson RJ R.J.Dyson@bham.ac.uk Smith DJ D.J.Smith.2@bham.ac.uk University of Birmingham University of Warwick Linear Taylor-Couette stability of a transversely isotropic fluid submitted QA 10col_ephy Supporting data for "Linear Taylor-Couette stability of a transversely isotropic fluid", submitted to Proceedings of the Royal Society A. MATLAB software is required to use this format. Fibre-laden fluids are found in a variety of situations, whilst 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 \chn{continuum} with an evolving preferred direction, through a modified stress tensor incorporating four viscosity-like 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. 2014 submitted University of Birmingham 10.25500/eData.bham.00000070 Dataset The Authors and University of Birmingham research-data@contacts.bham.ac.uk School of Mathematics and Statistics epsrc na na na TRUE