A 3D DLM/FD method for simulating the motion of spheres in a bounded shear flow of Oldroyd-B fluids

Abstract

We present a novel distributed Lagrange multiplier/fictitious domain (DLM/FD) method for simulating fluid-particle interaction in Oldroyd-B fluids under creeping conditions. The results concerning two ball interaction in a three dimensional (3D) bounded shear flow are obtained for Weissenberg numbers up to 1 . The pass and return trajectories of the two ball mass centers are similar to those in a Newtonian fluid; but they lose the symmetry due to the effect of elastic force arising from viscoelastic fluids. A tumbling chain of two balls (a dipole) may occur, depending on the value of the Weissenberg number and the initial vertical displacement of the ball mass center to the middle plane between two walls.

Mechanisms of spontaneous chain formation and subsequent microstructural evolution in shear-driven strongly confined drop monolayers

“…The effective hydrodynamic repulsion that controls drop spacing within flow-aligned chains stems from the swapping-trajectory effect, first demonstrated for confined rigid spheres, 57 and subsequently discussed for a variety of systems. 2,13,21,[64][65][66][67][68] Fig. 6(a) shows the flow field in the flow-gradient plane (x,z) passing through the center of the drop.…”

Oldroyd-B nanofluid-flow between stretching disks with thermal slip and multiple flow features

“…The modelling for fractional type of Oldroyd-B under the impact of slip was led by Zheng et al [14]. The flow Oldroyd-B fluid under the creeping constraints with applications of DLM simulations has been notified by Chiu et al [15]. Farooq et al [16] thrashed out the major consequences of Oldroyd-B fluid analytically.…”