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Abstract

First the classical Taylor problem of fluid rotating between two concentric cylinders is considered. A method of approximating to the curve of neutral stability is developed. Values of the torque for Taylor-vortex flows are calculated for the radius ratio of 0.95.

The classical Taylor problem of fluid rotating between two concentric cylinders is then altered by making only the outer boundary a small and slowly varying function of the vertical co-ordinate. Modified amplitude equations, both linear and non-linear are found, and modified critical Taylor numbers are calculated. For the type of solution found it appears that the axial wavenumber is uniquely determined and now depends on both the axial and vertical co-ordinates.

Publication Type:	Thesis (Doctoral)
Subjects:	Q Science > QA Mathematics
Departments:	School of Science & Technology > Department of Mathematics School of Science & Technology > School of Science & Technology Doctoral Theses Doctoral Theses

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