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