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

The modified Casson's equation and its application to pipe flows of shear-thickening fluid
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摘要 A few additional data from our previous experiments were plotted to emphasize the shear-thickening behavior ofdeoxy 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 original Casson's equation, the author obtained a modified Casson's equation by introducing γF. A few additional data from our previous experiments were plotted to emphasize the shear-thickening behavior ofdeoxy 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 original Casson's equation, the author obtained a modified Casson's equation by introducing γF.
作者 Hao Xue
出处 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2005年第3期243-248,共6页 力学学报(英文版)
关键词 Sickle erythrocyte Fung's shear rate FX equation Potential plug Casson's plot Sickle erythrocyte Fung's shear rate FX equation Potential plug Casson's plot
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参考文献6

  • 1Fung, Y.C.: Biomechanics, Mechanical Properties of Living Tissues.Sorineer Verlag, New York, 1981. 被引量:1
  • 2White EM.:Viscous Fluid Flow. McGraw-Hill, New York, 1974. 被引量:1
  • 3Chien, S., Usami, S., Bertles, J.E: Abnormal rheology of oxygenated blood in sickle cell anemia. J. Clin. Invest. 49, 623 (1970). 被引量:1
  • 4Oka, S.: Rheology-Biorheology. Kyokabo, Tokyo, 1974. 被引量:1
  • 5Chien, S., Usami, S., Dellenback, R.J., Gregersen, M.I.: Sheardependent deformation of erythrocytes in rheology of human blood.American Journal of Physiology 219, 136 (1970) 被引量:1
  • 6Kaul, D.K., Xue, H.: Rate of deoxygenation and rheology behavior of blood in sickle cell anemia. Blood, The Journal of the American Society of Hematology 77(6), 1353 ( 1991 ). 被引量:1

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