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Volume 18, Issue 3
Numerical Simulation of the Motion of Inextensible Capsules in Shear Flow Under the Effect of the Natural State

Xiting Niu, Lingling Shi, Tsorng-Whay Pan & Roland Glowinski

Commun. Comput. Phys., 18 (2015), pp. 787-807.

Published online: 2018-04

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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.

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@Article{CiCP-18-787, author = {Xiting Niu, Lingling Shi, Tsorng-Whay Pan and Roland Glowinski}, title = {Numerical Simulation of the Motion of Inextensible Capsules in Shear Flow Under the Effect of the Natural State}, journal = {Communications in Computational Physics}, year = {2018}, volume = {18}, number = {3}, pages = {787--807}, abstract = {

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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.260714.260315a}, url = {http://global-sci.org/intro/article_detail/cicp/11048.html} }
TY - JOUR T1 - Numerical Simulation of the Motion of Inextensible Capsules in Shear Flow Under the Effect of the Natural State AU - Xiting Niu, Lingling Shi, Tsorng-Whay Pan & Roland Glowinski JO - Communications in Computational Physics VL - 3 SP - 787 EP - 807 PY - 2018 DA - 2018/04 SN - 18 DO - http://doi.org/10.4208/cicp.260714.260315a UR - https://global-sci.org/intro/article_detail/cicp/11048.html KW - AB -

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.

Xiting Niu, Lingling Shi, Tsorng-Whay Pan and Roland Glowinski. (2018). Numerical Simulation of the Motion of Inextensible Capsules in Shear Flow Under the Effect of the Natural State. Communications in Computational Physics. 18 (3). 787-807. doi:10.4208/cicp.260714.260315a
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