Dynamics of circular disk motion with momentum decay in a quasi-2D ‡fluid
Jengjan Tsai1*, Kazuhiko Seki2, Shigeyuki Komura3
1Institute of Physics, National Chiao Tung University, Hsinchu, Taiwan
2Nano-system Research Institute, National Institute of Advanced Industrial Science and Technology (AIST), Tsukuba, Ibaraki, Japan
3Department of Chemistry, Tokyo Metropolitan University, Tokyo, Japan
* presenting author:Jengjan Tsai, email:jengjan@gmail.com
In this talk we discuss the dynamics of circular disk motion with momentum decay in a quasi-2D fl‡uid. The main idea is borrowed from P. Mazur’'s paper "On the motion and Brownian motion of n spheres in a viscous ‡fluid" published in Physica 110A (1982). The signifi…cant differences between P. Mazur'’s paper and ours are (1) we consider the quasi-2D case (2) we consider the momentum decay situation in the equations of motion of the fl‡uid and circular disks.

In order to grasp the physical pictures of this issue more clearly, two approaches are given to analyze it. They are Approach I: Exactly analytical approach, and Approach II: Modi…fied and approximated approach. We think that our study can be beneficial to understand the movement behaviors of the assembled molecular-size objects attached on cell membranes and even offer future possible applications in industrial related fields.

Keywords: Fluid dynamics, Navier-Stokes equations, Brownian motion, Cell membrane, Momentum decay