The Stokes boundary layer for a power-law fluid
Pritchard, David and McArdle, Catriona R. and Wilson, Stephen K. (2011) The Stokes boundary layer for a power-law fluid. Journal of Non-Newtonian Fluid Mechanics, 166 (12-13). pp. 745-753. ISSN 0377-0257 (https://doi.org/10.1016/j.jnnfm.2011.04.011)
Preview |
PDF.
Filename: Pritchard_etal_JNNFM_2011_The_stokes_boundary_layer_for_a_power_law_fluid.pdf
Accepted Author Manuscript Download (998kB)| Preview |
Abstract
We develop semi-analytical, self-similar solutions for the oscillatory boundary layer (‘Stokes layer’) in a semi-infinite power-law fluid bounded by an oscillating wall (the so-called Stokes problem). These solutions differ significantly from the classical solution for a Newtonian fluid, both in the non-sinusoidal form of the velocity oscillations and in the manner at which their amplitude decays with distance from the wall. In particular, for shear-thickening fluids the velocity reaches zero at a finite distance from the wall, and for shear-thinning fluids it decays algebraically with distance, in contrast to the exponential decay for a Newtonian fluid. We demonstrate numerically that these semi-analytical, self-similar solutions provide a good approximation to the flow driven by a sinusoidally oscillating wall.
ORCID iDs
Pritchard, David ORCID: https://orcid.org/0000-0002-9235-7052, McArdle, Catriona R. and Wilson, Stephen K. ORCID: https://orcid.org/0000-0001-7841-9643;-
-
Item type: Article ID code: 31256 Dates: DateEventJuly 2011Published13 April 2011Published OnlineSubjects: Science > Mathematics > Probabilities. Mathematical statistics Department: Faculty of Science > Mathematics and Statistics Depositing user: Pure Administrator Date deposited: 27 May 2011 10:56 Last modified: 02 Dec 2024 01:13 Related URLs: URI: https://strathprints.strath.ac.uk/id/eprint/31256