Finite-difference and integral schemes for Maxwell viscous stress calculation in immersed boundary simulations of viscoelastic membranes

Suspensions of viscoelastic capsules: effect of membrane viscosity on transient dynamics

“…Yazdani & Bagchi (2013) studied the effect of the membrane viscosity on the deformation and the tank-treading frequency of a single viscoelastic capsule numerically, also observing wrinkles appearing on the surface due to the membrane viscosity. Recently, Li & Zhang (2019, 2020) coupled a finite difference method with the immersed boundary–lattice Boltzmann (IB-LB) method to simulate the effect of the viscosity at the interface. This implementation has been then employed to investigate mainly the dynamics of RBCs, highlighting the key role played by the membrane viscosity on the deformation and the associated characteristic times (Guglietta et al.…”

Erratum: "Review on the dynamics of isothermal liquid bridges" [ASME Appl. Mech. Rev., 2020, 72(1): 010803; DOI: 10.1115/1.4044467]

“…As pointed out by recent works [1][2][3][4], the velocity appearing in the Boussinesq-Scriven constitutive equation [5] for the viscous interfacial stress is the 3D fluid velocity evaluated on the interface, including both the tangential and normal components to that surface. Previous studies (see, e.g., [6][7][8]) have erroneously interpreted this velocity as the 2D velocity resulting from the projection of the fluid velocity onto the interface, which can lead to significant errors for high interface curvatures. Besides, there are works in which it is not clear whether the velocity in the Boussinesq-Scriven equation was misinterpreted as explained above, or the authors were implicitly assuming that the surface was always flat when that equation was invoked (see, e.g., [9,10]).…”