Guan, C., Yanase, S., Matsuura, K., Kouchi, T. and Nagata, Y. (2017) Numerical Study on Motion of a Spherical Bubble near Vertical Wall Using Modified Force-Coupling Method. Submitted to Nagare. (In Japanese)

has been cited by the following article:

• TITLE: Application of the Modified Force-Coupling Method of Tracing the Trajectories of Spherical Bubbles with Solid-Like and Slip Surfaces

  AUTHORS: Chao Guan, Shinichiro Yanase, Koji Matsuura, Toshinori Kouchi, Yasunori Nagata

  KEYWORDS: Force-Coupling Method, Vertical Wall, Spherical Bubble, Multiphase Flow

  JOURNAL NAME: Open Journal of Fluid Dynamics, Vol.7 No.4, December 29, 2017

  ABSTRACT: The force-coupling method (FCM) developed by Maxey and Patel (2001) was modified and applied to trace the trajectories of spherical bubbles with solid-like and slip surfaces. Careful comparison was made to the experimental results of Takemura et al. (2000, 2002a, 2002b). First, the result obtained by use of the original version of the FCM was compared to the experimental results. It was found that the original FCM was not feasible for tracing spherical bubble trajectories. Then, a correction was made to the FCM calculation of the bubble velocity by renormalization in terms of the bubble Reynolds number, which could very well trace the trajectory of the bubble with a solid-like, no-slip surface, but not that of a bubble with a slip surface. Finally, a substantial correction was made to the monopole term of the FCM, which could trace the trajectory of a bubble with a solid-like or slip surface very well even for the Reynolds number up to 20.