A FRACTAL MODEL FOR CAPILLARY FLOW THROUGH A SINGLE TORTUOUS CAPILLARY WITH ROUGHENED SURFACES IN FIBROUS POROUS MEDIA

In this paper, a fractal model for capillary flow through a single tortuous capillary with roughened surfaces in fibrous porous media is derived. The determined imbibition height and imbibition mass of capillary rise are in satisfying agreement with the existing models reported in the literature. It is found that the imbibition height and imbibition mass of capillary decreases with increasing relative roughness. Besides, it is observed that the equilibrium time in a single tortuous capillary with roughened surfaces decreases with an increase in relative roughness. In addition, it is seen that the imbibition height and imbibition mass of capillary rise increases with imbibition time. With the proposed fractal model, the physical mechanisms of capillary flow through a single tortuous capillary with roughened surfaces in fibrous porous media are better elucidated. One advantage of our fractal analytical model is that it contains no empirical constant, which is usually required in previous models.

Automated summary

In this study, a fractal model for capillary flow through a single tortuous capillary with roughened surfaces in fibrous porous media was derived. The results of the model were found to be in agreement with existing models in the literature. It was observed that the imbibition height and mass of capillary rise decrease with increasing relative roughness, while the equilibrium time in the capillary decreases with increasing roughness. Additionally, the imbibition height and mass of capillary rise were found to increase with imbibition time.