Asymptotics of slow flow of very small exponent power-law shear-thinning fluids in a wedge
Asymptotics of slow flow of very small exponent power-law shear-thinning fluids in a wedge
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楔形中极小指数幂律剪切稀化流体的慢速流动的渐近
DOI：
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发表时间：
1995
影响因子：
1.9
通讯作者：
C. Please
中科院分区：
文献类型：
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作者：
M. Brewster;S. Chapman;A. Fitt;C. Please
在应力为应变率的极小幂次的特殊情况下，考虑幂律剪切减薄流体在楔形区域的不可压缩慢粘流动。使用渐近分析来确定相似解的结构。该流在壁面处有一个具有边界层的外区域。边界层具有复杂的结构，包括一个过渡层0（）与内层O（）相连，其进一步与靠近壁面的内层0（）相连。在所有区域都找到了显式解，并讨论了流中“死区”的存在性。
The incompressible slow viscous flow of a power-law shear-thinning fluid in a wedge-shaped region is considered in the specific instance where the stress is a very small power of the strain rate. Asymptotic analysis is used to determine the structure of similarity solutions. The flow is shown to possess an outer region with boundary layers at the walls. The boundary layers have an intricate structure consisting of a transition layer 0(ɛ) adjoining an inner layer O(ɛlnɛ), which further adjoins an inner-inner layer 0(ɛ) next to the wall. Explicit solutions are found in all the regions and the existence of ‘dead zones’ in the flow is discussed.