This paper compares results from the the rod-chain model with those from results based on Jeffery’s equation. A concept of critical buckle aspect ratio is employed to define the rigidity or flexibility of a fiber, above which point a fiber is flexible enough to be bent and twisted. When a fiber has an aspect ratio less than the critical buckle aspect ratio, fiber motion predicted by the rod-chain model corresponds perfectly with that of Jeffery’s equation. The trajectories of a single rigid fiber with different initial orientations are shown by the rod-chain model, which are in line with what Jeffery’s equation predicts. Results are also shown for the configuration of a single flexible fiber at various times under a pure shearing flow. The “blind area” of the rod-chain model is discussed.
Modeling of Flexible Fiber Motion and Orientation in Simple Shear Flow: A Comparison Between the Rod-Chain Model and Jeffery’s Equation
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Zhang, C, & Jack, DA. "Modeling of Flexible Fiber Motion and Orientation in Simple Shear Flow: A Comparison Between the Rod-Chain Model and Jeffery’s Equation." Proceedings of the ASME 2010 International Mechanical Engineering Congress and Exposition. Volume 3: Design and Manufacturing, Parts A and B. Vancouver, British Columbia, Canada. November 12–18, 2010. pp. 231-237. ASME. https://doi.org/10.1115/IMECE2010-39015
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