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Asymptotics of slow flow of very small exponent power-law shear-thinning fluids in a wedge

Asymptotics of slow flow of very small exponent power-law shear-thinning fluids in a wedge
Asymptotics of slow flow of very small exponent power-law shear-thinning fluids in a wedge
The incompressible slow viscous flow of a power-law shear-thinning fluid in a wedge-shaped region is considered in the specific instance where the stress is a very small power of the strain rate. Asymptotic analysis is used to determine the structure of similarity solutions. The flow is shown to possess an outer region with boundary layers at the walls. The boundary layers have an intricate structure consisting of a transition layer 0(xs025B) adjoining an inner layer O(xs025Blnxs025B), which further adjoins an inner-inner layer 0(xs025B) next to the wall. Explicit solutions are found in all the regions and the existence of ‘dead zones’ in the flow is discussed.
0956-7925
559-571
Brewster, M. E.
e43a830a-84a4-4b7f-ad64-9609c49997e0
Chapman, S. J.
fbc067f2-e0fe-4392-b458-34adc54b5624
Fitt, A. D.
092667d3-cfd1-4129-bfbe-a5a440372507
Please, C. P.
118dffe7-4b38-4787-a972-9feec535839e
Brewster, M. E.
e43a830a-84a4-4b7f-ad64-9609c49997e0
Chapman, S. J.
fbc067f2-e0fe-4392-b458-34adc54b5624
Fitt, A. D.
092667d3-cfd1-4129-bfbe-a5a440372507
Please, C. P.
118dffe7-4b38-4787-a972-9feec535839e

Brewster, M. E., Chapman, S. J., Fitt, A. D. and Please, C. P. (1995) Asymptotics of slow flow of very small exponent power-law shear-thinning fluids in a wedge. European Journal of Applied Mathematics, 6 (6), 559-571. (doi:10.1017/S0956792500002060).

Record type: Article

Abstract

The incompressible slow viscous flow of a power-law shear-thinning fluid in a wedge-shaped region is considered in the specific instance where the stress is a very small power of the strain rate. Asymptotic analysis is used to determine the structure of similarity solutions. The flow is shown to possess an outer region with boundary layers at the walls. The boundary layers have an intricate structure consisting of a transition layer 0(xs025B) adjoining an inner layer O(xs025Blnxs025B), which further adjoins an inner-inner layer 0(xs025B) next to the wall. Explicit solutions are found in all the regions and the existence of ‘dead zones’ in the flow is discussed.

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Published date: 1995

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Local EPrints ID: 146637
URI: http://eprints.soton.ac.uk/id/eprint/146637
ISSN: 0956-7925
PURE UUID: 75ff8537-a3b6-42f6-ab90-6e8cd38dfbc7

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Date deposited: 20 Jul 2010 15:57
Last modified: 14 Mar 2024 00:56

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Contributors

Author: M. E. Brewster
Author: S. J. Chapman
Author: A. D. Fitt
Author: C. P. Please

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