Finsler geometry modeling of complex fluids: reduction in viscous resistance

• Published in: Journal of physics. Conference series Vol. 1730; no. 1; pp. 12036 - 12039
• Main Authors: Okumura, Masahiko, Homma, Ippei, Noro, Shuta, Koibuchi, Hiroshi
• Format: Journal Article
• Language: English
• Published: Bristol IOP Publishing 01.01.2021
• Subjects: Computational fluid dynamics; Dispersion; Gas mixtures; Macromolecules; Mathematical analysis; Model testing; Modelling; Monte Carlo simulation; Newtonian fluids; Non Newtonian fluids; Physics; Reduction; Stress concentration
• ISSN: 1742-6588; 1742-6596
• DOI: 10.1088/1742-6596/1730/1/012036

Complex fluids refer to a broad range of materials that contain two different phases, such as solid-liquid and fluid-gas mixtures. Generally, in fluids with dispersed matter, the viscous resistance is not always proportional to the velocity of the fluids, and a fluid exhibiting such behavior is called a non-Newtonian fluid. The viscous resistance is considerably decreased in a certain range of velocities compared to the case without macromolecules. This change in the macroscopic viscous resistance is expected to originate from the interactions between fluids and dispersed matter. In this study, we apply the Finsler geometry (FG) modelling technique to implement this complex interaction, and we numerically show a mechanism for the reduction in viscous resistance. In the FG modeling, a new dynamical variable corresponding to the directional degrees of freedom of dispersed matter is introduced and updated by the Monte Carlo simulation technique during iterations of the Navier-Stokes equation. The tentative results indicate that the distribution of the viscous force and its position dependence are considerably different from those in standard Newtonian fluids. This finding indicates the possibility that the FG modeling technique can properly describe the effects of dispersed matter on the flow behavior.