Numerical Simulations on Displacements of Immiscible Fluid Layers

• Main Authors: Ardi, Hanni Maksum, 安慧甯
• Other Authors: Chen, Ching-Yao
• Format: Others
• Language: en_US
• Published: 2015
• Online Access: http://ndltd.ncl.edu.tw/handle/08860317999706186471

碩士 === 國立交通大學 === 機械工程系所 === 103 === Abstract The research used software FORTRAN to simulate the pattern of unsteady fluid dynamics for immiscible fluids by diffuse-interface methods. These methods have been applied in the interfacial region of physical phenomena and fluid flows implicating interface deformation. The purpose by using the method is to get the pattern of viscous fingering between two fluids with different viscosities and effect of finite dispersion in porous media. We investigate the influence of viscous fingering due to the differences between the viscosities of the displacing fluid and followed by effect of different parameters. A quantitative analysis of the contribution of fingering to this research we conducted as a function of four relevant parameters to simulate the problem, i.e., the Péclet number Pe, the Capillary number Ca, the Atwood number A, and the Cahn number Cahn. In this study, we used the high Peclet number were 1*105 to get stable condition of viscous fingering in our numerical code. Furthermore, since this study is immiscible the fingering fluid flows, so that Capillary number and Atwood number being the main control parameters of the fluid flows. Finally, the results obviously presented the immiscible viscous fingering structures by numerical simulation of fluid flow in porous medium for qualitative results and quantitative results. Influences of Capillary number parameters are given not much effect for the fingering pattern of the layer in porous media. On the other hand, the Atwood number parameter gave much effects of the immiscible pattern of fingering.