Modelling, mathematical analysis, numerical solution and parameter identification in reaction systems

• Autores: Noemi Esteban Rodríguez
• Directores de la Tesis: Alfredo Bermúdez de Castro y López-Varela (dir. tes.), Oana Chis (codir. tes.)
• Lectura: En la Universidade de Santiago de Compostela ( España ) en 2019
• Idioma: español
• Tribunal Calificador de la Tesis: Carlos Antonio Moreno Gonzalez (presid.), Rafael Muñoz Sola (secret.), Salim Meddahi Bouras (voc.)
• Programa de doctorado: Programa de Doctorado en Métodos Matemáticos y Simulación Numérica en Ingeniería y Ciencias Aplicadas por la Universidad de A Coruña; la Universidad de Santiago de Compostela y la Universidad de Vigo
• Materias:
  • Matemáticas
    • Análisis y análisis funcional
      • Ecuaciones diferenciales ordinarias
      • Ecuaciones diferenciales en derivadas parciales
    • Análisis numérico
      • Ecuaciones diferenciales en derivadas parciales
• Enlaces
  • Tesis en acceso abierto en: MINERVA
• Resumen

  • This thesis is divided in three different parts in which an extensive study of reactors is done. It is complemented with three appendices describing some tools and results used .

    The first part is devoted to the description of the reactors we are interested in. We formulate the models of the main STR reactors. Then, we describe the general convection-diffusion-reaction model. Finally, the FBR model is also described.

    In second part an extensive study is done for the convection-diffusion-reaction model beginning with the mathematical analysis for the n-dimensional reactor and then numerical solution of the reactor models is designed.

    The last part deals with the identification of the best kinetic model from a list of proposed functional forms, and also of the values of its corresponding parameters by means of an optimization process. For this purpose, we use a combination of an incremental and an integral method.