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Mathematical Analysis of a Model of Blood Flow through a Channel with Flexible Walls.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mathematical Analysis of a Model of Blood Flow through a Channel with Flexible Walls./
Author:	Edwards, Madeline M.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2021,
Description:	124 p.
Notes:	Source: Dissertations Abstracts International, Volume: 83-02, Section: B.
Contained By:	Dissertations Abstracts International83-02B.
Subject:	Applied mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28493744
ISBN:	9798516963902

Mathematical Analysis of a Model of Blood Flow through a Channel with Flexible Walls.
Edwards, Madeline M.

Mathematical Analysis of a Model of Blood Flow through a Channel with Flexible Walls. - Ann Arbor : ProQuest Dissertations & Theses, 2021 - 124 p.

Source: Dissertations Abstracts International, Volume: 83-02, Section: B.

Thesis (Ph.D.)--University of New Hampshire, 2021.

This item must not be sold to any third party vendors.

The present research is devoted to the problem of stability of the fluid flow moving in a channel with flexible walls and interacting with the walls. The walls of the vessel conveying fluid are subject to traveling waves. Experimental data shows that the energy of the flowing fluid can be transferred and consumed by the structure (the walls), which induces "traveling wave flutter." The problem of stability of fluid-structure interaction splits into two parts: (i) stability of fluid flow in the channel with harmonically moving walls and (ii) stability of solid structure participating in the energy exchange with the flow. Stability of fluid flow is the main focus of the research. It is shown that using the mass conservation and the incompressibility condition one can obtain the initial boundary value problem for the stream function. The boundary conditions reflect the facts that (i) for the axisymmetrical flow, there is no movement in the vertical direction along the axis of symmetry, and (ii) there is no relative movement between the near-boundary flow and the structure ("no-slip" condition). The closed form solution is derived and is represented in the form of an infinite functional series.

ISBN: 9798516963902Subjects--Topical Terms:

2122814
Applied mathematics.
Subjects--Index Terms:

Blood flow

Mathematical Analysis of a Model of Blood Flow through a Channel with Flexible Walls.
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100 1 $a Edwards, Madeline M. $0 (orcid)0000-0002-2897-2368 $3 3691470
245 1 0 $a Mathematical Analysis of a Model of Blood Flow through a Channel with Flexible Walls.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2021
300 $a 124 p.
500 $a Source: Dissertations Abstracts International, Volume: 83-02, Section: B.
500 $a Advisor: Shubov, Marianna.
502 $a Thesis (Ph.D.)--University of New Hampshire, 2021.
506 $a This item must not be sold to any third party vendors.
520 $a The present research is devoted to the problem of stability of the fluid flow moving in a channel with flexible walls and interacting with the walls. The walls of the vessel conveying fluid are subject to traveling waves. Experimental data shows that the energy of the flowing fluid can be transferred and consumed by the structure (the walls), which induces "traveling wave flutter." The problem of stability of fluid-structure interaction splits into two parts: (i) stability of fluid flow in the channel with harmonically moving walls and (ii) stability of solid structure participating in the energy exchange with the flow. Stability of fluid flow is the main focus of the research. It is shown that using the mass conservation and the incompressibility condition one can obtain the initial boundary value problem for the stream function. The boundary conditions reflect the facts that (i) for the axisymmetrical flow, there is no movement in the vertical direction along the axis of symmetry, and (ii) there is no relative movement between the near-boundary flow and the structure ("no-slip" condition). The closed form solution is derived and is represented in the form of an infinite functional series.
590 $a School code: 0141.
650 4 $a Applied mathematics. $3 2122814
650 4 $a Biology. $3 522710
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650 4 $a Flow velocity. $3 3564851
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650 4 $a Fluid-structure interaction. $3 907285
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650 4 $a Reynolds number. $3 3681436
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653 $a Blood flow
653 $a Channel with flexible walls
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710 2 $a University of New Hampshire. $b Mathematics. $3 2101370
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790 $a 0141
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856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28493744