Particle–boundary interaction in a shear-driven cavity flow

Abstract

The motion of a heavy finite-size tracer is numerically calculated in a two-dimensional shear-driven cavity. The particle motion is computed using a discontinuous Galerkin-finite-element method combined with a smoothed profile method resolving all scales, including the flow in the lubrication gap between the particle and the boundary. The centrifugation of heavy particles in the recirculating flow is counteracted by a repulsion from the shear-stress surface. The resulting limit cycle for the particle motion represents an attractor for particles in dilute suspensions. The limit cycles obtained by fully resolved simulations as a function of the particle size and density are compared with those obtained by one-way coupling using the Maxey-Riley equation and an inelastic collision model for the particle-boundary interaction, solely characterized by an interaction-length parameter. It is shown that the one-way coupling approach can faithfully approximate the true limit cycle if the interaction length is selected depending on the particle size and its relative density.

Influence of three-dimensional transverse micro-ridges on the Poiseuille number in a gaseous slip flow

“…At Re = 0.10, z-vorticity is symmetric along the vertical centre-line of the ridge, but not at Re = 50.31. Similar phenomenon is reported for incompressible flow in lid-driven cavity flow by Kuhlmann and Romanò [13] as well as in shear-driven cavity flow by Romanò and Kuhlmann [12]. At Re = 1, streamlines are almost symmetrical due to symmetries of Navier-Stokes equation in Stokes flow limit of Re tending to zero.…”

“…Here, the height of highest ridge is of same order as the channel height and helps in drastic drag reduction. The existing literature on micro-cavities focuses more on shear driven [9][10][11][12] and lid-driven [13][14][15][16] liquid flows [24,28] and not from the perspective of reducing friction in rarefied gas flows.…”

“…Bres and Colonius [9] carried out complete 3D global instability analysis over rectangular cavity for compressible flows. Shear-driven cavity incompressible flows have been investigated by Horner et al [10], Vicente et al [11], Romanò and Kuhlmann [12]. Vicente et al [11] noted that spanwise dynamics occur in the recirculating flow in both shear and lid-driven cavities; this makes 3D flows significantly more complex than their 2D counterparts.…”

Heat and mass transfer flow of nanofluids in presence of chemical reaction with partial slip conditions

“…Samina Javed et al [17] discussed the issue of convection heat transfer of nanofluids in different flow regimes for different heat transfer devices. In addition, many significant features of the MHD flow past a stretching sheet were presented and elaborated in the literature [18][19][20][21][22][23].…”

Reconstructing the fluid flow by tracking of large particles

“…In fact, the particulate dynamical system is intrinsically dissipative, whereas the uid ow is a Hamiltonian system, where the Hamiltonian coincides with the streamfunction. One major consequence is the particle dynamics can admit attractors and repellors, while a corresponding tracer cannot [12]. Such considerations further extend to time-periodic two-dimensional and steady threedimensional uid ows, which are the analogous of a piecewise Hamiltonian system with 1.5 degrees of freedom [13].…”