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Soft suspensions: inertia cooperates with flexibility

  • Chaouqi Misbah (a1)
Abstract
Abstract

Cross-streamline migration of soft particles in suspensions is essential for cell and DNA sorting, blood flow, polymer processing and so on. Pioneering work by Poiseuille on blood flow in vivo revealed an erythrocyte-free layer close to blood vessel walls. The formation of this layer is related to a viscous lift force caused by cell deformation that pushes cells towards the centre of blood capillaries. This lift force has in this case a strong impact on blood flow. In contrast, rigid spherical particles migrate from the centre towards the periphery, owing to inertia (the Segré–Silberberg effect). An important open issue is to elucidate the interplay between particle deformation and inertia. By using a capsule suspension model, Krueger, Kaoui & Harting (J. Fluid Mech., 2014, vol. 751, pp. 725–745) discovered that capsule flexibility can suppress the Segré–Silberberg effect and inertia promotes overall flow efficiency thanks to a strong inertial flow focusing effect.

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Corresponding author
Email address for correspondence: chaouqi.misbah@ujf-grenoble.fr
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This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

D. Barthès-Biesel 2009 Capsule motion in flow: deformation and membrane buckling. C. R. Phys. 10, 764774.

G. Coupier , B. Kaoui , T. Podgorski  & C. Misbah 2008 Noninertial lateral migration of vesicles in bounded Poiseuille flow. Phys. Fluids 20 (11), 111702.

S. C. Hur , N. K. Henderson-MacLennan , E. R. B. McCabe  & D. Di Carlo 2011 Deformability-based cell classification and enrichment using inertial microfluidics. Lab on a Chip 11, 912920.

B. Kaoui , G. H. Ristow , I. Cantat , C. Misbah  & W. Zimmermann 2008 Lateral migration of a 2D vesicle in unbounded Poiseuille flow. Phys. Rev. E 77, 021903.

T. Krueger , B. Kaoui  & J. Harting 2014 Interplay of inertia and deformability on rheological properties of a suspension of capsules. J. Fluid Mech. 751, 725745.

A. Laadhari , P. Saramito  & C. Misbah 2012 Vesicle tumbling inhibited by inertia. Phys. Fluids 24, 031901.

G. Segré  & A. Siberberg 1961 Radial particle displacements in Poiseuille flow of suspensions. Nature 189, 209210.

R. Skalak , A. Tozeren , R. P. Zarda  & S. Chien 1973 Strain energy function of red blood cell membranes. Biophys. J. 13, 245264.

T. Tanaka , T. Ishikawa , K. Numayama-Tsuruta , Y. Imai , H. Ueno , N. Matsuki  & T. Yamaguchi 2012 Separation of cancer cells from a red blood cell suspension using inertial force. Lab on a Chip 12, 43364343.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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