Fluid flow and fluid shear stress in canaliculi induced by external mechanical loading and blood pressure oscillation

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• 作者：Shulun Liu ; Fan Wang ; Renhuai Liu
• 关键词：fluid flow ; fluid shear stress ; transverse isotropic ; poroelasticity ; osteon ; blood pressure oscillation ; R318.01 ; 74L15 ; 92C10
• 刊名：Applied Mathematics and Mechanics
• 出版年：2015
• 出版时间：May 2015
• 年：2015
• 卷：36
• 期：5
• 页码：681-692
• 全文大小：335 KB
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• 作者单位：Shulun Liu (1)
  Fan Wang (1)
  Renhuai Liu (1)
  
  1. Institute of Applied Mechanics, Jinan University, Guangzhou, 510632, China
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Applications of Mathematics
  Mechanics
  Mathematical Modeling and IndustrialMathematics
  Chinese Library of Science
  
• 出版者：Shanghai University, in co-publication with Springer
• ISSN：1573-2754

文摘

The paper studies the problem of fluid flow and fluid shear stress in canaliculi when the osteon is subject to external mechanical loading and blood pressure oscillation. The single osteon is modeled as a saturated poroelastic cylinder. Solid skeleton is regarded as a poroelastic transversely isotropic material. To get near-realistic results, both the interstitial fluid and the solid matrix are regarded as compressible. Blood pressure oscillation in the Haverian canal is considered. Using the poroelasticity theory, an analytical solution of the pore fluid pressure is obtained. Assuming the fluid in canaliculi is incompressible, analytical solutions of fluid flow velocity and fluid shear stress with the Navier-Stokes equations of incompressible fluid are obtained. The effect of various parameters on the fluid flow velocity and fluid shear stress is studied.