“…When Equation (1) is solved, it is important that a constraint algorithm should be developed to Brought to you by | Carleton University OCUL Authenticated Download Date | 6/12/15 7:40 PM maintain the integrity of the discretized fiber chain during the whole period of motion, i.e., -/·;.,) = // (10) where r,.\ and r, are the position vectors of adjacent beads i-l and /', respectively. Substituting Equations (3), (5), and (7)-(9) into Equations (1), the equations of motion for the fiber in a flow field can be obtained.…”