DIRECT NUMERICAL SIMULATION OF IMMISCIBLE GAS BUBBLE DISPLACEMENT IN 2D CHANNEL

2차원 관내 유동에서 불활성 기체 제거과정의 직접 수치 해석

  • 신승원 (홍익대학교 기계.시스템디자인공학과)
  • Published : 2007.09.30

Abstract

Dynamic behavior of immiscible gas bubble attached to the wall in channel flow plays very important role in many engineering applications. Special attention has been paid to micro direct methanol fuel cell(${\mu}$DMFC) where surface tension becomes dominant factor with minor gravitational effect due to its reduced size. Therefore, displacement of $CO_2$ bubble generating on a cathode side in ${\mu}$DMFC can be very difficult and efficient removal of $CO_2$ bubbles will affect the overall machine performance considerably. We have focused our efforts on studying the dynamic behavior of immiscible bubble attached to the one side of the wall on 2D rectangular channel subject to external shear flow. We used Level Contour Reconstruction Method(LCRM) which is the simplified version of front tracking method to track the bubble interface motion. Effects of Reynolds number, Weber number, advancing/receding contact angle and property ratio on bubble detachment characteristic has been numerically identified.

Keywords

References

  1. 2003, Meng, D., Kim, J., and Kim C., "A distributed breather for micro direct methanol fuel cell," Proc. IEEE Int. Conf. Micro Electro Mechanical Systems (Kyoto January), pp.534-537
  2. 2006, Meng, D., Kim, J., and Kim C., "A degassing plate with hydrophobic bubble capture and distributed venting for microfluidic devices," J. Micromech. Microeng., Vol.16, pp.419-525 https://doi.org/10.1088/0960-1317/16/2/028
  3. 2002, Shukla, A.K., Jackson, C.L., Scott, K., and Murgia, G., "A solid-polymer electrolyte direct methanol fuel cell with a mixed reactant and air anode," J. Power Sources., Vol.111, pp.43-51 https://doi.org/10.1016/S0378-7753(02)00232-X
  4. 2002, Kang, Q., Zhang, D., and Chen, S., "Displacement of a two- dimensional immiscible droplet in a channel," Physics of fluids., Vol.14, pp.3203-3214 https://doi.org/10.1063/1.1499125
  5. 2005, Kang, Q., Zhang, D., and Chen, S., "Displacement of a three- dimensional immiscible droplet in a duct," J. Fluid Mech., Vol.545, pp.41-66 https://doi.org/10.1017/S0022112005006956
  6. 2006, Zhang, J., Miksis, M., and Bankoff, S., "Nonlinear dynamics of a two- dimensional viscous drop under shear flow," Phys of fluids., Vol.18, pp.072106 https://doi.org/10.1063/1.2222336
  7. 2005, Norman C. and Miksis, M., "Gas bubble with a moving contact line rising in and inclined channel at finite reynolds number," Physica D, Vol.209, pp.191-204 https://doi.org/10.1016/j.physd.2005.06.024
  8. 2001, Tryggvson, G., Bunner, B., Esmaeeli, A., Juric, D., Al-Rawahi, N., Tauber, W., Han, J., Nas, S., and Jan, Y., "A front tracking method for the computations of multiphase flow," J. Comput. Pys., Vol.169, pp.708-759 https://doi.org/10.1006/jcph.2001.6726
  9. 2002, Shin, S. and Juric, D., "Modeling three-dimensional multiphase flow using a level contour reconstruction method for front tracking without connectivity," J. Comput. Phys., Vol.180, pp.427-470 https://doi.org/10.1006/jcph.2002.7086
  10. 2005, Shin, S., Abdel-Khalik, S., Daru, V., and Juric, D., "Accurate representation of surface tension using the level contour reconstruction method," J. Comput. Phys., Vol.203, pp.493-516 https://doi.org/10.1016/j.jcp.2004.09.003
  11. 2007, Shin, S. and Juric, D., "High order level contour reconstruction method," J. Comput. Phys., Vol.180, pp.427-470
  12. 1968, Chorin, J., "Numerical solution for the Navier -Stokes equations," Math, Comput., Vol.22, pp.745-762 https://doi.org/10.2307/2004575
  13. 2003, H.A., Van der vorst, "Iterative krylov methods for large linear systems," Cambridge Monographs on Applied and Computational Mathematics.