Premium
Computational analysis of gas permeability of slip flow through microannulus replete by based‐circular Sierpinski porous medium
Author(s) -
Hader Montasir,
AlAzzam Munis,
AlKouz Wael
Publication year - 2021
Publication title -
heat transfer
Language(s) - English
Resource type - Journals
eISSN - 2688-4542
pISSN - 2688-4534
DOI - 10.1002/htj.22111
Subject(s) - knudsen number , dimensionless quantity , porosity , permeability (electromagnetism) , mechanics , porous medium , darcy's law , materials science , sierpinski carpet , slip (aerodynamics) , thermodynamics , mathematics , sierpinski triangle , composite material , fractal , physics , chemistry , mathematical analysis , biochemistry , membrane
There are wide applications for flow in a microporous medium. In this study, a computational analysis of airflow through a porous microannulus constructed by circular‐based Sierpinski has been performed in a slip flow regime, where several parameters played an important role in the flow characteristics. These parameters are the Knudsen number, the average friction factor, radius ratio, and porosity. The impacts of these parameters on permeability and the gas flow characteristics are examined and analyzed thoroughly. The ranges of the investigated parameters are as follows (0.001 ≤ Kn ≤ 0.1 and the porosity range is 0.75 ≤ ε ≤ 0.95). The results showed that porosity has a significant impact on the velocity distribution and Darcy number. The Knudsen number has also a direct effect on the velocity distribution, while it has a positive logarithmic proportionality with a dimensionless permeability but the radius ratio does have a neglected effect on the Darcy number. Moreover, the effect of the average friction factor has an inverse proportional relationship to the Darcy number.