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

doi:10.1007/s10483-015-1932-7

Applied Mathematics and Mechanics (English Edition) ›› 2015, Vol. 36 ›› Issue (5): 681-692.doi: https://doi.org/10.1007/s10483-015-1932-7

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

Shulun LIU, Fan WANG, Renhuai LIU

Institute of Applied Mechanics, Jinan University, Guangzhou 510632, China

收稿日期:2014-09-22 修回日期:2015-03-13 出版日期:2015-05-01 发布日期:2015-05-01
通讯作者: Fan WANG E-mail:twfan@jnu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (No. 11032005)

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

Shulun LIU, Fan WANG, Renhuai LIU

Institute of Applied Mechanics, Jinan University, Guangzhou 510632, China

Received:2014-09-22 Revised:2015-03-13 Online:2015-05-01 Published:2015-05-01
Contact: Fan WANG E-mail:twfan@jnu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (No. 11032005)

摘要/Abstract

摘要： 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.

关键词: poroelasticity, fluid flow, osteon, transverse isotropic, blood pressure oscillation, fluid shear stress

Abstract: 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.

Key words: fluid shear stress, poroelasticity, osteon, fluid flow, transverse isotropic, blood pressure oscillation

中图分类号:

R318.01

Shulun LIU, Fan WANG, Renhuai LIU. Fluid flow and fluid shear stress in canaliculi induced by external mechanical loading and blood pressure oscillation[J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(5): 681-692.

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

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

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