Pritchard, David and McArdle, Catriona R. and Wilson, Stephen K. (2011) The Stokes boundary layer for a powerlaw fluid. Journal of NonNewtonian Fluid Mechanics, 166 (1213). pp. 745753. ISSN 03770257

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Abstract
We develop semianalytical, selfsimilar solutions for the oscillatory boundary layer (‘Stokes layer’) in a semiinfinite powerlaw fluid bounded by an oscillating wall (the socalled Stokes problem). These solutions differ significantly from the classical solution for a Newtonian fluid, both in the nonsinusoidal form of the velocity oscillations and in the manner at which their amplitude decays with distance from the wall. In particular, for shearthickening fluids the velocity reaches zero at a finite distance from the wall, and for shearthinning fluids it decays algebraically with distance, in contrast to the exponential decay for a Newtonian fluid. We demonstrate numerically that these semianalytical, selfsimilar solutions provide a good approximation to the flow driven by a sinusoidally oscillating wall.
Item type:  Article 

ID code:  31256 
Keywords:  Stokes’s second problem, powerlaw, Ostwald–de Waele, oscillatory boundary layer, Stokes layer, Probabilities. Mathematical statistics, Materials Science(all), Chemical Engineering(all), Mechanical Engineering, Applied Mathematics, Condensed Matter Physics 
Subjects:  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:  17 Jun 2015 17:45 
Related URLs:  
URI:  http://strathprints.strath.ac.uk/id/eprint/31256 
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