QUASI ONE DIMENSIONAL MODEL FOR DYNAMIC TUBES BLOOD ELASTIC

Blood flow in arteries has a complex structure because this system involves blood flow, motion of muscle of the arteries, and return of outer pressure. One of methods that we can use for constructing a model for dynamics of elastic <br /> <br /> <br /> <br /> &l...

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Main Author: PITRIANA (NIM. 20910010); Pembimbing : Dr. Agus Yodi Gunawan, ELSA
Format: Theses
Language:Indonesia
Online Access:https://digilib.itb.ac.id/gdl/view/15531
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Institution: Institut Teknologi Bandung
Language: Indonesia
id id-itb.:15531
spelling id-itb.:155312017-10-09T10:17:05ZQUASI ONE DIMENSIONAL MODEL FOR DYNAMIC TUBES BLOOD ELASTIC PITRIANA (NIM. 20910010); Pembimbing : Dr. Agus Yodi Gunawan, ELSA Indonesia Theses INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/15531 Blood flow in arteries has a complex structure because this system involves blood flow, motion of muscle of the arteries, and return of outer pressure. One of methods that we can use for constructing a model for dynamics of elastic <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> blood vessel is an approximate model, so called quasi one dimensional. This model is derived from the continuity equation and momentum equation. The model leads to a system of partial differential equations. In this thesis, we <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> solved the equations both analytically and numerically. In the analytically part, we apply the D Alembert method such the reduced equation leads to the wave equation with external forces term. For numerical part, we use Discrete <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> Morse Flow (DMF) method, a variational method based on the minimization of a time discretetized function. Result show that the numerical solution and analytic solution are both quite in agreements. text
institution Institut Teknologi Bandung
building Institut Teknologi Bandung Library
continent Asia
country Indonesia
Indonesia
content_provider Institut Teknologi Bandung
collection Digital ITB
language Indonesia
description Blood flow in arteries has a complex structure because this system involves blood flow, motion of muscle of the arteries, and return of outer pressure. One of methods that we can use for constructing a model for dynamics of elastic <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> blood vessel is an approximate model, so called quasi one dimensional. This model is derived from the continuity equation and momentum equation. The model leads to a system of partial differential equations. In this thesis, we <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> solved the equations both analytically and numerically. In the analytically part, we apply the D Alembert method such the reduced equation leads to the wave equation with external forces term. For numerical part, we use Discrete <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> Morse Flow (DMF) method, a variational method based on the minimization of a time discretetized function. Result show that the numerical solution and analytic solution are both quite in agreements.
format Theses
author PITRIANA (NIM. 20910010); Pembimbing : Dr. Agus Yodi Gunawan, ELSA
spellingShingle PITRIANA (NIM. 20910010); Pembimbing : Dr. Agus Yodi Gunawan, ELSA
QUASI ONE DIMENSIONAL MODEL FOR DYNAMIC TUBES BLOOD ELASTIC
author_facet PITRIANA (NIM. 20910010); Pembimbing : Dr. Agus Yodi Gunawan, ELSA
author_sort PITRIANA (NIM. 20910010); Pembimbing : Dr. Agus Yodi Gunawan, ELSA
title QUASI ONE DIMENSIONAL MODEL FOR DYNAMIC TUBES BLOOD ELASTIC
title_short QUASI ONE DIMENSIONAL MODEL FOR DYNAMIC TUBES BLOOD ELASTIC
title_full QUASI ONE DIMENSIONAL MODEL FOR DYNAMIC TUBES BLOOD ELASTIC
title_fullStr QUASI ONE DIMENSIONAL MODEL FOR DYNAMIC TUBES BLOOD ELASTIC
title_full_unstemmed QUASI ONE DIMENSIONAL MODEL FOR DYNAMIC TUBES BLOOD ELASTIC
title_sort quasi one dimensional model for dynamic tubes blood elastic
url https://digilib.itb.ac.id/gdl/view/15531
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