259 citations · 1.9k across the 47 of their papers we have counts for
15 papers · 1 filter
A note about convected time derivatives for flows of complex fluids
Howard A. Stone, Michael J. Shelley, Evgeniy Boyko
We present a direct derivation of the typical time derivatives used in a continuum description of complex fluid flows, harnessing the principles of the kinematics of line elements.…
Weakly nonlinear analysis of pattern formation in active suspensions
Laurel Ohm, Michael J. Shelley
We consider the Saintillan--Shelley kinetic model of active rodlike particles in Stokes flow (Saintillan & Shelley 2008a,b), for which the uniform, isotropic suspension of pusher p…
Enhanced clamshell swimming with asymmetric beating at low Reynolds number
Shiyuan Hu, Jun Zhang, Michael J. Shelley
A single flexible filament can be actuated to escape from the scallop theorem and generate net propulsion at low Reynolds number. In this work, we study the dynamics of a simple bo…
The role of monolayer viscosity in Langmuir film hole closure dynamics
Leroy L. Jia, Michael J. Shelley
We re-examine the model proposed by Alexander et al. (2006) for the closing of a circular hole in a molecularly thin incompressible Langmuir film situated on a Stokesian subfluid.…
A stable and accurate scheme for solving the Stefan problem coupled with natural convection using the Immersed Boundary Smooth Extension method
Jinzi Mac Huang, Michael J. Shelley, David B. Stein
The dissolution of solids has created spectacular geomorphologies ranging from centimeter-scale cave scallops to the kilometer-scale "stone forests" of China and Madagascar. Mathem…
Dynamics of flexible fibers in viscous flows and fluids
O. du Roure, A. Lindner, E. N. Nazockdast +1
The dynamics and deformations of immersed flexible fibers are at the heart of important industrial and biological processes, induce peculiar mechanical and transport properties in…