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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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 |
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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 />
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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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1823632224111558656 |