QUASI ONE DIMENSIONAL MODEL FOR DYNAMIC TUBES BLOOD ELASTIC

• 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
• Institution: Institut Teknologi Bandung

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.