Journal
COMPUTERS & FLUIDS
Volume 134, Issue -, Pages 31-40Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.compfluid.2016.05.011
Keywords
Deformable particle; Capsule dynamics; Lattice Boltzmann; General flow; Fluid structure interaction
Funding
- National Natural Science Foundation of China [11172297]
- Anhui Provincial Natural Science Foundation [130808 5MA06]
- Program for New Century Excellent Talents in University,Ministry of Education, China [NCET-12-0506]
- Fundamental Research Funds for the Central Universities
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The dynamics of a capsule in general flows is studied analytically and numerically. The capsule is modeled as a liquid-filled drop enclosed by a membrane. We adapted the Keller-Skalak (KS) theory and Skotheim-Secomb model to the case of general flow, the governing equations are derived. It is found that when viscosity ratio lambda = 1, the capsule dynamics in general flows is controlled by two dimensionless parameters, the ratio of vorticity to strain rate of the flow and the ratio of the elastic force to fluid stress. In the literature, the transition between swinging (SW) and tumbling (TU) is always one way (TU to SW). As far as we know, it is the first time that the TU-SW-TU transition has been identified, i.e., the transition may also transfer from SW to TU after the transition (TU to SW) occurs under some circumstances. The possible mechanism is that the rotation of the flow suppresses the deformation along the vorticity direction of the capsule. The shape dynamics of a capsule is studied in detail and the rheology of dilute capsule suspension is also investigated briefly. (C) 2016 Elsevier Ltd. All rights reserved.
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