Fluid analysis in micro-channel based on bubble function FEM using stabilization parameter in SUPG method
Shigetoshi Tai 1*, Takahiko Kurahashi
1Graduate school of Nagaoka University of Technology,
1603-1 Kamitomiokamachi, Nagaoka, Niigata, Japan 940-2188, [email protected]
In recent years, various technology development are carried out using a micro chemical chip (see Figure 1). For instance, there is a study on the solvent extraction [1]. When the solvent extraction is conducted, it is necessary to make a parallel two phase flow in a micro scale space.
The governing equations, i.e., the Navier-Stokes, the continuity, and the advection equations, are used to represent the two phase flow field. In addition, the surface tension of the fluid in the micro-scale flow channel is represented by the CFS model. As the discretization method, the bubble function FEM using the stabilization parameter in the SUPG method is applied.
Furthermore, the 𝜃 method is employed for discretization in time.
In this study, the rotating cone problem is carried out to investigate the advantages of bubble function FEM using stabilization parameter in SUPG method. Based on the result, we carried out the numerical simulation of the two phase flow in measurement area shown in Figure 2. In addition, results between numerical simulation and experiment are compared.
Acknowledgement
We wish to thank Mr. Yoshikuni Kikutani at Institute of Mecrochemical Technology Co., Ltd for his many helpful comments on our research into experiments using micro-chemical chip.
REFERENCES
[1] Arata Aota, Takehiko Kitamori,Solvent Extraction Using Multiphase Microflows , BUNSEKI KAGAKU, 57, 4 (2008)239-250
[2] J.U. Brackbill, D.B. Kothe and C.zemach, A Continuum method for modeling surface tension, Journal of computational physics, 100 (1992) 335-354
Figure 1. Micro chemical chip Figure 2 Computational model
Measurement area
