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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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/15531 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | 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 />
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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 />
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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. |
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