Creeping mergers are often cited as a problem in the context of concentrated industries, but practical competition law solutions are rarely suggested. Concern typically arises from a series of mergers which increase concentration in an industry but which do not individually cause substantial anti-competitive effects, particularly where the acquisitions are undertaken by a dominant firm. In Sout...

The creeping flow along a periodic rough surface is calculated as a series in the slope of the roughness grooves. On a scale much larger than the grooves, this flow is equivalent to that over a smooth plane which is shifted from the top of the riblets. The convergence of the series for the shift distance in term of the slope is accelerated by use of Euler transformation and of the existence of ...

We used two methods to characterize fluid flow through the TμC under typical run-time conditions. First, we used 0.5 μm yellow-green beads as tracers to map the flow field through the trapping region under the pressures used to deliver nutrients. We acquired a movie of bead flow at 10 frames per second and used this as input to a MATLAB implementation of the Particle Image Velocimetry (PIV) met...

We present a detailed numerical study of creeping solitons in dissipative systems. A bifurcation diagram has been constructed for the region of transition between solitons and fronts. It shows a rich variety of transitions between various types of localized solutions. For the first time, we have found a sequence of period-doubling bifurcations of creeping solitons, and also a symmetry-breaking ...

The existence of secondary flows in the pressure-driven flow of a concentrated suspension of noncolloidal particles through a conduit of square cross section under creeping flow conditions is confirmed experimentally. This Letter lends support to the idea that secondary currents, rather than shear-induced migration, may actually be the dominant mechanism that determines particle distribution in...

We study the creeping flow of a dilute, monodisperse polystyrene/oligomeric styrene Boger fluid through axisymmetric abrupt contraction-expansions of various contraction ratios and over a wide range of Deborah numbers. Measurements of the entry pressure drop for the polystyrene solution increase monotonically with Deborah number and are substantially larger than those observed for a similar New...

We study a class of integrodifferential equations and related ordinary differential equations for the initial value problem of a rigid sphere falling through an infinite fluid medium. We prove that for creeping Newtonian flow, the motion of the sphere is monotone in its approach to the steady state solution given by the Stokes drag. We discuss this property in terms of a general nonautonomous s...

The influence of walls on binary encounters of spherical particles under creeping flow is studied by means of the lattice Boltzmann method. Depending on the initial particle displacement different behaviours can be observed, including the 'swapping' trajectories. The domain of the swapping trajectories is identified for interacting spheres with the same diameter; some preliminary results are gi...