Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2009-02-26
Eur. Phys. J. E 29, 399-413 (2009)
Physics
Condensed Matter
Soft Condensed Matter
15 pages, 12 figures
Scientific paper
10.1140/epje/i2009-10493-7
We investigate the dynamics of microcapsules in linear shear flow within a reduced model with two degrees of freedom. In previous work for steady shear flow, the dynamic phases of this model, i.e. swinging, tumbling and intermittent behaviour, have been identified using numerical methods. In this paper, we integrate the equations of motion in the quasi-spherical limit analytically for time-constant and time-dependent shear flow using matched asymptotic expansions. Using this method, we find analytical expressions for the mean tumbling rate in general time-dependent shear flow. The capsule dynamics is studied in more detail when the inverse shear rate is harmonically modulated around a constant mean value for which a dynamic phase diagram is constructed. By a judicious choice of both modulation frequency and phase, tumbling motion can be induced even if the mean shear rate corresponds to the swinging regime. We derive expressions for the amplitude and width of the resonance peaks as a function of the modulation frequency.
Finken Reimar
Kessler Steffen
Seifert Udo
No associations
LandOfFree
Elastic capsules in shear flow: Analytical solutions for constant and time-dependent shear rates does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Elastic capsules in shear flow: Analytical solutions for constant and time-dependent shear rates, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Elastic capsules in shear flow: Analytical solutions for constant and time-dependent shear rates will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-254267