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Unsteady viscous flow in an elastic tube (artery).
Record Type:
Electronic resources : Monograph/item
Title/Author:
Unsteady viscous flow in an elastic tube (artery)./
Author:
Wang, Da-Ming.
Published:
Ann Arbor : ProQuest Dissertations & Theses, : 1992,
Description:
116 p.
Notes:
Source: Dissertations Abstracts International, Volume: 54-11, Section: B.
Contained By:
Dissertations Abstracts International54-11B.
Subject:
Biomedical research. -
Online resource:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9311738
ISBN:
9798617050839
Unsteady viscous flow in an elastic tube (artery).
Wang, Da-Ming.
Unsteady viscous flow in an elastic tube (artery).
- Ann Arbor : ProQuest Dissertations & Theses, 1992 - 116 p.
Source: Dissertations Abstracts International, Volume: 54-11, Section: B.
Thesis (Ph.D.)--The Pennsylvania State University, 1992.
This item must not be sold to any third party vendors.
The linear theory assumes that the wall motion has no effect on the flow field; hence, the solution for rigid tubes, Womersley's solution, can be used to describe the flow field in elastic tubes. However, the thesis perturbation solution suggests that the nonlinear convective acceleration associated with wall motion cannot be neglected even when the wall movement is only about 5-10% of the diameter. The wall motion influences both the steady and unsteady flow fields. When the steady streaming Reynolds number is small, the wall motion induces some secondary steady flow (steady streaming), which has an important influence on the mean (time-averaged) wall shear rate, but is too small to affect the shape of the mean velocity profile. However, when the steady streaming number is large, the mean velocity profile is distorted by the nonlinear effect associated with wall motion. In addition, the wall movement also affects the amplitude of the wall shear rate. The nonlinear effects depend on Womersley's unsteadiness parameter, the mean flow rate, the amplitudes of the diameter variation and the flow rate waveforms, and the phase difference between them. According to the perturbation solution, to evaluate the nonlinear effects at a certain position, in addition to the physical properties, one needs only to know the diameter variation and the flow rate waveforms at that position. This allows the evaluation of the nonlinear effects without knowing the upstream and downstream conditions. The dependence of the nonlinear effects on the impedance phase angle indicates that wave reflection can modulate the nonlinear effects. This may have some physiological importance and can offer a possible indirect mechanism for the role of hypertension in arterial disease.
ISBN: 9798617050839Subjects--Topical Terms:
3433833
Biomedical research.
Unsteady viscous flow in an elastic tube (artery).
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The linear theory assumes that the wall motion has no effect on the flow field; hence, the solution for rigid tubes, Womersley's solution, can be used to describe the flow field in elastic tubes. However, the thesis perturbation solution suggests that the nonlinear convective acceleration associated with wall motion cannot be neglected even when the wall movement is only about 5-10% of the diameter. The wall motion influences both the steady and unsteady flow fields. When the steady streaming Reynolds number is small, the wall motion induces some secondary steady flow (steady streaming), which has an important influence on the mean (time-averaged) wall shear rate, but is too small to affect the shape of the mean velocity profile. However, when the steady streaming number is large, the mean velocity profile is distorted by the nonlinear effect associated with wall motion. In addition, the wall movement also affects the amplitude of the wall shear rate. The nonlinear effects depend on Womersley's unsteadiness parameter, the mean flow rate, the amplitudes of the diameter variation and the flow rate waveforms, and the phase difference between them. According to the perturbation solution, to evaluate the nonlinear effects at a certain position, in addition to the physical properties, one needs only to know the diameter variation and the flow rate waveforms at that position. This allows the evaluation of the nonlinear effects without knowing the upstream and downstream conditions. The dependence of the nonlinear effects on the impedance phase angle indicates that wave reflection can modulate the nonlinear effects. This may have some physiological importance and can offer a possible indirect mechanism for the role of hypertension in arterial disease.
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http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9311738
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