標題: | Numerical Study on Statistical Behaviors of Two-Dimensional Dry Foam |
作者: | Seol, Yunchang Kim, Yongsam 應用數學系 Department of Applied Mathematics |
關鍵字: | Foam dynamics;immersed boundary method;scaling state;von Neumann relation;Lewis law;Aboav-Weaire law |
公開日期: | 1-一月-2019 |
摘要: | We investigate the statistical behaviors of two-dimensional dry foam using numerical simulations based on the immersed boundary (IB) method. We model the liquid phase of a foam as a thin elastic boundary with surface tension and the gas phase as a viscous incompressible fluid which can go through the liquid boundary. We present evidence of the existence of a limiting scaling state of the dry foam dynamics in which the asymptotic value of mu 2 , the second moment of the distribution of the numbers of cell sides, lies in the range of 1.3 +/- 0.3. We also numerically verify some well-known formulas derived in the dynamics of two-dimensional dry foam such as von Neumann relation, Lewis law, and Aboav-Weaire law. Our simulation results are comparable to those of soap froth experiments and Potts model simulations. Furthermore, we investigate the statistical behaviors of two-dimensional dry foam in an oscillatory shear flow to show the applicability of our method to more general flow conditions. |
URI: | http://dx.doi.org/10.4208/cicp.OA-2017-0242 http://hdl.handle.net/11536/148728 |
ISSN: | 1815-2406 |
DOI: | 10.4208/cicp.OA-2017-0242 |
期刊: | COMMUNICATIONS IN COMPUTATIONAL PHYSICS |
Volume: | 25 |
起始頁: | 289 |
結束頁: | 310 |
顯示於類別: | 期刊論文 |