TY - JOUR

T1 - Two-dimensional hydrodynamics of a Janus particle vesicle

AU - Fu, Szu Pei

AU - Quaife, Bryan

AU - Ryham, Rolf

AU - Young, Y. N.

N1 - Funding Information:
B.Q. acknowledges support from NSF (grant no. DMS 2012560) and from the Simons Foundation, Mathematics and Physical Sciences-Collaboration Grants for Mathematicians (award no. 527139). Y.-N.Y. acknowledges support from NSF (grant no. DMS 1614863 and 1951600) and Flatiron Institute, part of the Simons Foundation.
Publisher Copyright:
©

PY - 2022/6/25

Y1 - 2022/6/25

N2 - We develop a new model, to our knowledge, for the many-body hydrodynamics of amphiphilic Janus particles suspended in a viscous background flow. The Janus particles interact through a hydrophobic attraction potential that leads to self-assembly into bilayer structures. We adopt an efficient integral equation method for solving the screened Laplace equation for hydrophobic attraction and for solving the mobility problem for hydrodynamic interactions. The integral equation formulation accurately captures both interactions for near touched boundaries. Under a linear shear flow, we observe the tank-treading deformation in a two-dimensional vesicle made of Janus particles. The results yield measurements of intermonolayer friction, membrane permeability and, at large shear rates, membrane rupture. The simulation studies include a Janus particle vesicle in both linear and parabolic shear flows, and interactions between two Janus particle vesicles in shear and extensional flows. The hydrodynamics of the Janus particle vesicle is similar to the behaviour of an inextensible, elastic vesicle membrane with permeability.

AB - We develop a new model, to our knowledge, for the many-body hydrodynamics of amphiphilic Janus particles suspended in a viscous background flow. The Janus particles interact through a hydrophobic attraction potential that leads to self-assembly into bilayer structures. We adopt an efficient integral equation method for solving the screened Laplace equation for hydrophobic attraction and for solving the mobility problem for hydrodynamic interactions. The integral equation formulation accurately captures both interactions for near touched boundaries. Under a linear shear flow, we observe the tank-treading deformation in a two-dimensional vesicle made of Janus particles. The results yield measurements of intermonolayer friction, membrane permeability and, at large shear rates, membrane rupture. The simulation studies include a Janus particle vesicle in both linear and parabolic shear flows, and interactions between two Janus particle vesicles in shear and extensional flows. The hydrodynamics of the Janus particle vesicle is similar to the behaviour of an inextensible, elastic vesicle membrane with permeability.

KW - boundary integral methods

KW - collective behaviour

KW - membranes

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U2 - 10.1017/jfm.2022.290

DO - 10.1017/jfm.2022.290

M3 - Article

AN - SCOPUS:85129957843

SN - 0022-1120

VL - 941

JO - Journal of Fluid Mechanics

JF - Journal of Fluid Mechanics

M1 - A41

ER -