Skip to main content
×
Home
    • Aa
    • Aa

Role of membrane viscosity in the orientation and deformation of a spherical capsule suspended in shear flow

  • D. Barthes-Biesel (a1) and H. Sgaier (a1)
Abstract

Red blood cells or artificial vesicles may be conveniently represented by capsules, i.e. liquid droplets surrounded by deformable membranes. The aim of this paper is to assess the importance of viscoelastic properties of the membrane on the motion of a capsule freely suspended in a viscous liquid subjected to shear flow. A regular perturbation solution of the general problem is obtained when the particle is initially spherical and undergoing small deformations. With a purely viscous membrane (infinite relaxation time) the capsule deforms into an ellipsoid and has a continuous flipping motion. When the membrane relaxation time is of the same order as the shear time, the particle reaches a steady ellipsoidal shape which is oriented with respect to streamlines at an angle that varies between 45° and 0°, and decreases with increasing shear rates. Furthermore it is predicted that the deformation reaches a maximum value, which is consistent with experimental observations of red blood cells.

Copyright
References
Hide All
Barthes-Biesel, D. 1980 Motion of a spherical microcapsule freely suspended in a linear shear flow. J. Fluid Mech. 100, 831853.
Barthes-Biesel, D. & Rallison, J. M. 1981 The time-dependent deformation of a capsule freely suspended in a linear shear flow. J. Fluid Mech. 113, 251267.
Brunn, P. 1980 On the rheology of viscous drops surrounded by an elastic shell. Biorheol. 17, 419430.
Chien, S., Sung, K. P., Skalak, R., Usami, S. & Tozeren, A. 1978 Theoretical and experimental studies on viscoelastic properties of erythrocyte membrane. Biophys. J. 24, 463487.
Cox, R. G. 1969 The deformation of a drop in a general time-dependent fluid flow. J. Fluid Mech. 37, 601623.
Evans, E. A. & Hochmuth, R. M. 1976 Membrane viscoelasticity. Biophys. J. 16, 111.
Fischer, T. & Schmid-Schonbein, H. 1977 Tank-tread motion of red cell membranes in viscometric flow: behaviour of intracellular and extracellular markers. Blood Cells 3, 351365.
Keller, S. R. & Skalak, R. 1982 Motion of a tank-treading ellipsoidal particle in a shear flow. J. Fluid Mech. 120, 2747.
Pfafferott, C., Wenby, R. & Meiselman, H. J. 1982 Morphologic and internal viscosity aspects of RBC rheologic behavior. Blood Cells 8, 6878.
Rallison, J. M. 1980 Note on the time-dependent deformation of a viscous drop which is almost spherical. J. Fluid Mech. 98, 625633.
Secomb, T. W. & Skalak, R. 1982 Surface flow of viscoelastic membranes in viscous fluids. Q. J. Mech. Appl. Maths 35, 233247.
Skalak, R., Tozeren, A., Zarda, R. P. & Chien, S. 1973 Strain energy function of red blood cell membranes. Biophys. J. 13, 245264.
Tozeren, A., Skalak, R., Sung, K. P. & Chien, S. 1982 Viscoelastic behavior of erythrocyte membrane. Biophys. J. 39, 2332.
Tran-Son-Tay, R., Sutera, S. P. & Rao, P. R. 1984 Determination of red blood cell membrane viscosity from rheoscopic observations of the tank-treading motion. Biophys. J. 46, 6572.
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×
MathJax

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 59 *
Loading metrics...

Abstract views

Total abstract views: 179 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 21st October 2017. This data will be updated every 24 hours.