• DOI:10.4208/cicp.260714.260315a
• Corpus ID: 119215094

Numerical Simulation of the Motion of Inextensible Capsules in Shear Flow Under the Effect of the Natural State

@article{Niu2014NumericalSO,
  title={Numerical Simulation of the Motion of Inextensible Capsules in Shear Flow Under the Effect of the Natural State},
  author={Xiting Niu and Lingling Shi and Tsorng‐Whay Pan and Roland Glowinski},
  journal={Communications in Computational Physics},
  year={2014},
  volume={18},
  pages={787-807}
}

• Xiting Niu, Lingling Shi, +1 author R. Glowinski
• Published 6 July 2014
• Engineering
• Communications in Computational Physics

In this paper, a computational model for the natural state of an inextensible capsule has been successfully combined with a spring model of the capsule membrane to simulate the motion of the capsule in two-dimensional shear flow. Besides the viscosity ratio of the internal fluid and external fluid of the capsule, the natural state also plays a role for having the transition between two well known motions, tumbling and tank-treading (TT) with the long axis oscillates about a fixed inclination angle (a swinging mode), when varying the shear rate. Between tumbling and tank-treading, the intermittent behavior has been obtained for the capsule with a biconcave rest shape. The estimated critical value of the swelling ratio for having the intermittent transition behavior is less than 0.7, i.e., the capsules with rest shape closer to a full disk do not have the intermittent behavior in shear flow. The intermittent dynamics of the capsule in the transition region is a mixture of tumbling and TT with a swinging mode. Just like the motion of TT with a swing mode, which can be viewed as a tank-treading with an incomplete tumbling, the membrane tank-treads backward and forward within a small range during the tumbling motion.