The shear-driven Rayleigh problem for generalised Newtonian fluids

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• 作者：Brian R. Duffy ; David Pritchard ; ^{david.pritchard@strath.ac.uk" class="auth_mail} ; Stephen K. Wilson
• 关键词：Generalised Newtonian fluid ; Rayleigh problem ; Stokes&rsquo ; s first problem ; Boundary layer
• 刊名：Journal of Non-Newtonian Fluid Mechanics
• 出版年：April, 2014
• 年：2014
• 卷：206
• 期：Complete
• 页码：11-17
• 全文大小：457 K

文摘

We consider a variant of the classical 鈥楻ayleigh problem鈥?(鈥楽tokes鈥檚 first problem鈥? in which a semi-infinite region of initially quiescent fluid is mobilised by a shear stress applied suddenly to its boundary. We show that self-similar solutions for the fluid velocity are available for any generalised Newtonian fluid, regardless of its constitutive law. We demonstrate how these solutions may be used to provide insight into some generic questions about the behaviour of unsteady, non-Newtonian boundary layers, and in particular the effect of shear thinning or thickening on the thickness of a boundary layer.