Picture of a sphere with binary code

Making Strathclyde research discoverable to the world...

The Strathprints institutional repository is a digital archive of University of Strathclyde research outputs. It exposes Strathclyde's world leading Open Access research to many of the world's leading resource discovery tools, and from there onto the screens of researchers around the world.

Explore Strathclyde Open Access research content

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

[img]
Preview
PDF (Pritchard-etal-JNNFM-2011-The-stokes-boundary-layer-for-a-power-law-fluid)
Pritchard_etal_JNNFM_2011_The_stokes_boundary_layer_for_a_power_law_fluid.pdf - Submitted Version

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.