%0 Journal Article
%T A NEW METHOD TO SIMULATE THE DYNAMICS OF SINGLE FIBER IN COMPLEX FLOW FIELDS<br>复杂流场中单纤维动力学计算的一种新算法
%A LIU Chuntai WU Xiangnan TAO Shenjian ZHAO Zhenfeng
%A <br>刘春太
%A 武向南
%A 陶沈健
%A 赵振峰
%J 力学与实践
%D 2009
%I 
%X The translational and rotational dynamics of fibers suspended in a fluid medium are important in many different fields of modem technology. Jeffery derived an equation of motion for a single rigid ellipsoidal particle suspended in Newtonian fluids. Unfortunately, the analytical solutions of Jeffery equation could only be obtained in a simple planar shear flow and a planar elongational flow. The main difficulty in the numerical treatment of Jeffery equation is the singularity due to the term $\cot \theta $. In this paper, a co-rotational coordinate system is proposed, which can completely eliminates this singularity. The validity of the proposed scheme is shown by a comparison between numerical results and the analytical solution. New algorithm can easily be extended to simulate the dynamics of single fiber in complex flow fields.
%K Dynamics of fiber
%K co-rotational coordinate system
%K complex flow fields<br>纤维动力学
%K 随体坐标系
%K 复杂流场
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=5D344E2AD54D14F8&jid=0BF5C9FB031A532ED0A6D99DC4F6181A&aid=F78BB59D383BB826C6E4008898741802&yid=DE12191FBD62783C&vid=4AD960B5AD2D111A&iid=CA4FD0336C81A37A&sid=A04140E723CB732E&eid=EA389574707BDED3&journal_id=1000-0879&journal_name=力学与实践&referenced_num=1&reference_num=11