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Floquet stability analysis of capsules in viscous shear flow

Observations in experiments and simulations show that the kinematic behaviour of an elastic capsule, suspended and rotating in shear flow, depends upon the flow strength, the capsule membrane material properties and its at-rest shape. We develop a linear stability description of the periodically rot... Full description

Contained in: Journal of Fluid Mechanics Vol. 852 (2018), p. 663-677
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Links: Additional Link (dx.doi.org)
ISSN: 1469-7645
Additional Keywords: DREHBEWEGUNG
KAPILLARZAHL
MEMBRANWERKSTOFF
OBERSCHWINGUNG
REIBUNGSWAERME
SCHERSTROEMUNG
STROEMUNGSKRAFT
DOI: 10.1017/jfm.2018.574
Notes: Copyright: Metadaten: TEMA, Copyright WTI-Frankfurt eG
Copyright: (C) Alle Rechte beim Herausgeber
Physical Description: 15 Seiten, Quellen
ID (e.g. DOI, URN): 10.1017/jfm.2018.574
PPN (Catalogue-ID): WTI060010266
Note: WTI TEMA DB
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520 |a Observations in experiments and simulations show that the kinematic behaviour of an elastic capsule, suspended and rotating in shear flow, depends upon the flow strength, the capsule membrane material properties and its at-rest shape. We develop a linear stability description of the periodically rotating base state of this coupled system, as represented by a boundary integral flow formulation with spherical harmonic basis functions describing the elastic capsule geometry. This yields Floquet multipliers that classify the stability of the capsule motion for elastic capillary numbers Ca ranging from Ca = 0.01 to 5. Viscous dissipation rapidly damps most perturbations. However, for all cases, a single component grows or decays slowly, depending upon Ca, over many periods of the rotation. The transitions in this stability behaviour correspond to the different classes of rotating motion observed in previous studies. 
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