The modified Casson's equation and its application to pipe flows of shear-thickening fluid

• 来源期刊: 力学学报（英文版）
• 年，卷（期）: 2005,（3）
• 页码范围: 243-248
• 页数: 6页
• 语种: 英文

摘要

A few additional data from our previous experiments were plotted to emphasize the shear-thickening behavior of deoxy sickle erythrocyte (SS) suspension. A constitutive equation (named as FX equation) was developed and applied to a cylindrical pipe flow of a shear-thickening fluid.A blunt velocity profile and its volume flow rate were calculated. The flow was non-viscous (potential) in the central part of the pipe (i.e. the central core or the central plug-flow),and became more and more viscous towards the wall of the pipe after a specific radial distance, which was determined by a critical shear rate of γF (named as Fung's shear rate).Furthermore, combining the FX equation with the originalCasson's equation, the author obtained a modified Casson's equation by introducing γF.