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| Author(s): |
Laryssa Abdala
Total Authors: 1
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| Document type: | Master's Dissertation |
| Press: | Campinas, SP. |
| Institution: | Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica |
| Defense date: | 2018-12-07 |
| Examining board members: |
Carlos Eduardo Keutenedjian Mady;
João Frederico da Costa Azevedo Meyer;
Rogério Gonçalves dos Santos
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| Advisor: | Carlos Eduardo Keutenedjian Mady; Maicon Ribeiro Correa |
| Abstract | |
In the present study, a bidimensional computational model of blood flow through a chamber of a healthy human heart, with a particular description of the left ventricle, is presented. The domain and mesh used for spatial representation are fixed, blood is considered to be an incompressible Newtonian fluid, and the chamber volume variation is simulated from the introduction of a capacitance function that is space and time-dependent. Although the hypothesis of blood incompressibility is made, the capacitance function gives the system a differential form that resembles the Navier-Stokes equations for compressible fluids. Initially, the resolution of the incompressible Stokes Problem is described using a stable Mixed Finite Element Method, based on the Galerkin method. Then, the numerical model is evolved to address the whole problem. Subsequently, numerical simulations obtained from a code elaborated in Fortran 90 are presented. The results indicate a good adherence with the medical literature. From this model, it was possible to apply the Laws of Thermodynamics, from which a Second Law efficiency equivalent to 71% was obtained, while the First Law efficiency shows only how much of the metabolic energy becomes flow work (AU) | |
| FAPESP's process: | 16/19126-2 - A computational model of human heart |
| Grantee: | Laryssa Abdala |
| Support Opportunities: | Scholarships in Brazil - Master |