Flow of a generalised Newtonian fluid due to a rotating disk

被引:107
作者
Griffiths, P. T. [1 ]
机构
[1] Univ Birmingham, Sch Math, Birmingham B15 2TT, W Midlands, England
基金
英国工程与自然科学研究理事会;
关键词
Rotating disk flow; Generalised Newtonian fluid; Similarity solution; Boundary-layer; NICHT-NEWTONSCHER FLUSSIGKEITEN; POWER-LAW FLUID;
D O I
10.1016/j.jnnfm.2015.03.008
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The boundary-layer flow due to a rotating disk is considered for a number of generalised Newtonian fluid models. In the limit of large Reynolds number the flow inside the three-dimensional boundary-layer is determined via a similarity solution. Results for power-law and Bingham plastic fluids agree with previous investigations. We present solutions for fluids that adhere to the Carreau viscosity model. It is well known that unlike the power-law and Bingham models the Carreau model is applicable for vanishingly small, and infinitely large shear rates, as such we suggest these results provide a more accurate description of non-Newtonian rotating disk flow. (C) 2015 The Author. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
引用
收藏
页码:9 / 17
页数:9
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