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Title: Quantifying non-Newtonian effects in rotating boundary-layer flows
Authors: Griffiths, P. T.
Garrett, S. J.
Stephen, S. O.
Hussain, Z.
First Published: 3-Oct-2016
Presented at: ISROMAC 2016 International Symposium on Transport Phenomena and Dynamics of Rotating Machinery Hawaii, Honolulu 2016
Start Date: 10-Apr-2016
End Date: 15-Apr-2016
Publisher: Elsevier for European Mechanics Society (Euromech)
Citation: European Journal of Mechanics, B/Fluids, 2017, 61, pp. 304-309
Abstract: The stability of the boundary-layer on a rotating disk is considered for fluids that adhere to a non-Newtonian governing viscosity relationship. For fluids with shear-rate dependent viscosity the base flow is no longer an exact solution of the Navier–Stokes equations, however, in the limit of large Reynolds number the flow inside the three-dimensional boundary-layer can be determined via a similarity solution. The convective instabilities associated with flows of this nature are described both asymptotically and numerically via separate linear stability analyses. Akin to previous Newtonian studies it is found that there exists two primary modes of instability; the upper-branch type I modes, and the lower-branch type II modes. Results show that both these modes can be stabilised or destabilised depending on the choice of non-Newtonian viscosity model. A number of comments are made regarding the suitability of some of the more well-known non-Newtonian constitutive relationships within the context of the rotating disk model. Such a study is presented with a view to suggesting potential control mechanisms for flows that are practically relevant to the turbo-machinery industry.
DOI Link: 10.1016/j.euromechflu.2016.09.009
ISSN: 0997-7546
eISSN: 1873-7390
Version: Post-print
Status: Peer-reviewed
Type: Journal Article
Rights: Creative Commons “Attribution Non-Commercial No Derivatives” licence CC BY-NC-ND, further details of which can be found via the following link: Archived with reference to SHERPA/RoMEO and publisher website.
Description: 12 month embargo
Appears in Collections:Published Articles, Dept. of Mathematics

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