Construction of Maximum Tortuosity of Single Fluid Path in Grid-based 2-d System (5×20) and 3-d system (5×20×3) for Certain Value of Porosity

[摘要] Tortuosity is an important physical property in porous materials since it describes path length of fluid through the materials, which means how much the loss of kinetic energy. The simplest definition of tortuosity T is λ/L with λ is length of the path and L is the distance between two ends of the path. System is discretized using grid to limit number of possible paths, which could be infinity for continuous system. Porosity of the system is also constrained. Variable T is chosen as macrostates in statistical physics point of view, while all possible paths within this T are the microstates. It is found that some macrostates (more appropriately is its maximum value) have larger thermodynamics probability than the others. It should be a relation between this probability and reported tortuosity.

[发布机构] Physics Department, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jalan Ganesha 10, Bandung; 40132, Indonesia^1

[效力级别] 物理学

[关键词] 2-D systems;Continuous system;Grid-based;Macrostates;Microstates;Path length