Semi-empirical determination of the diffusion coefficient of the Fricke Xylenol Gel dosimeter through Finite Difference methods.

Authors

  • Lucas Nonato de Oliveira Instituto de Educação, Ciência e Tecnologia de Goiás
  • Eriberto Oliveira Nascimento Instituto de Educação, Ciência e Tecnologia de Goiás

Keywords:

Finite difference, Diffusion coefficient, Simulation, Gel dosimeters, Fricke Xilenol Gel.

Abstract

Partial Differential Equations (PDE) can model natural phenomena, such as related to physics, chemistry and engineering. For these classes of equations, analytical solutions are difficult to be obtained, so a computational approach is indicted. In this context, the Finite Difference Method (FDM) can provide useful tools for the field of Medical Physics. In this study, is described the implementation of a computational mesh, in order to be used in determining the Diffusion Coefficient (DC) of the Fricke Xylenol Gel dosimeter (FXG). The initial and boundary conditions both referred by experimental factors are modelled in FDM, thus making a semi-empirical study in determining the DC. Together, the method of Reflection and Superposition (SRM) and the analysis of experimental data, served as first validation for the simulation. Such methodologies interface generated concordant results for a range of error of 3% in concentration lines for small times when compared to the analytical solution. The result for the DC was 0.43 mm2/h. This value is in concordance with measures parameters range found in polymer gels dosimeters: 0.3-2.0 mm2/h. Therefore, the application of computer simulation methodology supported by the FDM may be used in determining the diffusion coefficient in FXG dosimeter.

Author Biographies

Lucas Nonato de Oliveira, Instituto de Educação, Ciência e Tecnologia de Goiás

Docente Permanente do Mestrado em Tecnologias Sustentaveis e Renovaveis - IFG

Doutor em Física Aplicada a Medicina e Biologia

Especialista em Ensino de Fisica

Eriberto Oliveira Nascimento, Instituto de Educação, Ciência e Tecnologia de Goiás

Estudante de Engenharia Mecânica-IFG

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Published

2014-10-08

How to Cite

de Oliveira, L. N., & Nascimento, E. O. (2014). Semi-empirical determination of the diffusion coefficient of the Fricke Xylenol Gel dosimeter through Finite Difference methods. Scientia Plena, 10(10). Retrieved from https://scientiaplena.org.br/sp/article/view/1919