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Buckling and its effect on the confined flow of a model capsule suspension

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Abstract

The rheology of confined flowing suspensions, such as blood, depends upon the dynamics of the components, which can be particularly rich when they are elastic capsules. Using boundary integral methods, we simulate a two-dimensional model channel through which flows a dense suspension of fluid-filled capsules. A parameter of principal interest is the equilibrium membrane perimeter, parameterized by ξ o, which ranges from round capsules with ξ o=1.0 to ξ o=3.0 capsules with a dog-bone-like equilibrium shape. It is shown that the minimum effective viscosity occurs for ξ o≈1.6, which forms a biconcave equilibrium shape, similar to a red blood cell. The rheological behavior changes significantly over this range; transitions are linked to specific changes in the capsule dynamics. Most noteworthy is an abrupt change in behavior for ξ o≈2.0, which correlates with the onset of capsule buckling. The buckled capsules have a more varied orientation and make significant rotational (rotlet) contributions to the capsule–capsule interactions.

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Acknowledgments

This work was supported in part by the National Science Foundation under Grant No. CBET 13-36972.

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Authors and Affiliations

  1. Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, 61801, USA

    Spencer H. Bryngelson & Jonathan B. Freund

  2. Aerospace Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, 61801, USA

    Jonathan B. Freund

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  1. Spencer H. Bryngelson
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Correspondence to Jonathan B. Freund.

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This paper belongs to the special issue on the “Rheology of blood cells, capsules and vesicles”.

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Bryngelson, S.H., Freund, J.B. Buckling and its effect on the confined flow of a model capsule suspension. Rheol Acta 55, 451–464 (2016). https://doi.org/10.1007/s00397-015-0900-9

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  • DOI: https://doi.org/10.1007/s00397-015-0900-9

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