Lateral migration of a capsule in plane shear near a wall

摘要: The migration of a capsule enclosed by an elastic membrane in wall-bounded linear shear is investigated using front-tracking method. A detailed comparison with the viscous drop presented varying capillary number (in case capsule, number) and viscosity ratio. In both cases, deformation breaks flow reversal symmetry makes them migrate away from wall. They quickly go through transient evolution to eventually reach quasi-steady state where dynamics becomes independent initial position only depends on wall distance. Previous analytical theories predicted that for drop, state, slip velocities scale approximately square inverse drop–wall separation, whereas scales as cube separation. These power law relations are shown hold well. inclination angle at same separation show crossover their variation number: shows steeper than smaller numbers slower larger numbers. Using Green’s function Stokes flow, semi-analytic theory far-field stresslet causes has two distinct contributions interfacial stresses ratio, competing effects between defining dynamics. It predicts scaling velocity capsule–wall however, matching simulated result very well phenomenological correlation number, distance ratio developed simulation results. different hyperelastic constitutive equations – neo-Hookean, Evans–Skalak, Skalak briefly behaviour remains similar equations.