Viscous dynamics of elastic filaments: from buckling instabilities to rheology

David Saintillan

Professor of Mechanical & Aerospace Engineering
University of California San Diego

Seminar Information

Seminar Series
Fluid Mechanics, Combustion, & Engineering Physics

Seminar Date - Time
October 16, 2023, 3:00 pm
-
4:15

Seminar Location
Hybrid: In Person & Zoom (connection in link below)

Engineering Building Unit 2 (EBU2)
Room 479

Seminar Recording Available: Please contact seminar coordinator, Jake Blair at (j1blair@ucsd.edu)

David Saintillan

Abstract

Elastic filaments and semiflexible polymers are ubiquitous in both biology and engineering, where they play a key role in cell mechanics and locomotion and are the constituents of many non-Newtonian fluids. In this talk, I will discuss the dynamics of elastic filaments in microscale flows, with focus on buckling instabilities that arise when viscous stresses overcome bending rigidity in the presence of thermal fluctuations. In simple shear flow, a series of morphological transitions is found to occur with increasing elastoviscous number, a dimensionless measure of flow strength relative to elasticity. The tumbling motion seen in weak flows and typical of rigid Brownian rods gives way to elastoviscous buckling followed by a tank-treading regime. We characterize these transitions using microfluidic experiments with F-actin along with numerical simulations and a reduced-order theoretical model, which provides a prediction for the onset of tank-treading with no fitting parameter. In uniaxial compressional flow, buckling also occurs above a critical flow strength and is found to give rise to helicoidal morphologies for high elastoviscous numbers. This phenomenon is also characterized in detail and explained using a weakly nonlinear model based on the post-buckling nonlinear interaction of linearly unstable planar deformation modes. I will conclude by discussing the implications of these instabilities for the rheology of elastic polymer suspensions, where the onset of buckling is found to enhance shear-thinning and normal stress differences.

Speaker Bio

Professor David Saintillan received a B.S. in Engineering from Ecole Polytechnique, France, in 2001, and an M.S. and a Ph.D. in Mechanical Engineering from Stanford University in 2003 and 2006. He then worked as a Junior Research Scientist at the Courant Institute of Mathematical Sciences of New York University and as an Assistant Professor of Mechanical Science and Engineering at the University of Illinois at Urbana-Champaign. He joined UCSD in 2013, where he is a Professor of Mechanical and Aerospace Engineering. He is a Fellow of the American Physical Society and currently serves on the editorial boards of Physical Review Fluids and Physical Review X.