Partner: H.A. Stone

Princeton University (US)

Recent publications
1.Kuei S., Słowicka A.M., Ekiel-Jeżewska M.L., Wajnryb E., Stone H.A., Dynamics and topology of a flexible chain: knots in steady shear flow, NEW JOURNAL OF PHYSICS, ISSN: 1367-2630, DOI: 10.1088/1367-2630/17/5/053009, Vol.17, pp.053009-1-15, 2015
Abstract:

We use numerical simulations of a bead–spring model chain to investigate the evolution of the conformations of long and flexible elastic fibers in a steady shear flow. In particular, for rather open initial configurations, and by varying a dimensionless elastic parameter, we identify two distinct conformational modes with different final size, shape, and orientation. Through further analysis we identify slipknots in the chain. Finally, we provide examples of initial configurations of an 'open' trefoil knot that the flow unknots and then knots again, sometimes repeating several times.

Keywords:

knots, low Reynolds number flows, multipole method

Affiliations:
Kuei S.-Princeton University (US)
Słowicka A.M.-IPPT PAN
Ekiel-Jeżewska M.L.-IPPT PAN
Wajnryb E.-IPPT PAN
Stone H.A.-Princeton University (US)
2.Nunes J.K., Sadlej K., Tama J.I., Stone H.A., Control of the length of microfibers, LAB ON A CHIP, ISSN: 1473-0197, DOI: 10.1039/C2LC40280G, Vol.12, pp.2301-2304, 2012

Conference abstracts
1.Słowicka A.M., Stone H.A., Wajnryb E., Ekiel-Jeżewska M.L., Three modes of the dynamics of flexible fibers in shear flow, ICTAM XXIV, 24th International Congress of Theoretical and Applied Mechanics, 2016-08-21/08-26, Montréal (CA), pp.1142-1143, 2016
Abstract:

Dynamics of a single non-Brownian flexible fiber in shear flow at low Reynolds number is investigated numerically. Initially, the fiber is straight and at the equilibrium. For different initial orientations and values of bending stiffness, three generic scenarios are observed: the fiber tends to: align along the vorticity direction, tumble within the plane perpendicular to vorticity, or perform a periodic motion superposed with translation along the flow.

Keywords:

Stokes equations, flexible fibers, shear flow

Affiliations:
Słowicka A.M.-IPPT PAN
Stone H.A.-Princeton University (US)
Wajnryb E.-IPPT PAN
Ekiel-Jeżewska M.L.-IPPT PAN