Evaluation of the effective thermal diffusivity in the transient state of a fractal geometry for constant temperature and heat flux conditions

Authors

  • Israel Rosas Yescas División de Estudios de Posgrado e Investigación, Instituto Tecnológico de Chihuahua
  • José Eduardo Acosta Cano de los Ríos División de Estudios de Posgrado e Investigación, Instituto Tecnológico de Chihuahua
  • Óscar Arturo Chávez López División de Estudios de Posgrado e Investigación, Instituto Tecnológico de Chihuahua
  • Carlos Arturo Méndez Herrera División de Estudios de Posgrado e Investigación, Instituto Tecnológico de Chihuahua
  • Victor Manuel Ambríz Díaz División de Estudios de Posgrado e Investigación, Instituto Tecnológico de Chihuahua

DOI:

https://doi.org/10.35830/cn.vi89.696

Keywords:

Effective thermal diffusivity, Porous medium, Fractal

Abstract

In this work, two models to calculate the effective thermal diffusivity used in simulations of transient phenomena with finite differences of porous media with fractal geometry of the Sierpinsky Carpet type are compared. The agreement between the results obtained using these models and finite element simulations is evaluated. This comparison is performed for two conditions: constant temperature and constant heat flow and for different values of porosity. Finite element simulation is done by using Solidworks (SW) software and finite difference simulations use the local thermal equilibrium approach. The results show that depending on the phenomenon to be simulated, one of the two models can be used. The model used adequately reproduces the effect of porosity on the temporal evolution of temperature, but the spatial distribution is not affected by this parameter.

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Published

2023-08-16

How to Cite

Rosas Yescas, I., Acosta Cano de los Ríos, J. E., Chávez López, Óscar A., Méndez Herrera, C. A., & Ambríz Díaz, V. M. (2023). Evaluation of the effective thermal diffusivity in the transient state of a fractal geometry for constant temperature and heat flux conditions. Ciencia Nicolaita, (89). https://doi.org/10.35830/cn.vi89.696

Issue

Section

Ingenierías

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