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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  • 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.

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@Article{CiCP-18-787, author = {}, 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 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 & Roland Glowinski. (2020). 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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