275726 Effect of Inertia On Particle Trajectories Around a Spherical Obstacle

Monday, October 29, 2012
Hall B (Convention Center )
Sumedh R. Risbud, Mingxiang Luo, Joelle Frechette and German M. Drazer, Chemical and Biomolecular Engineering, Johns Hopkins University, Baltimore, MD

We investigate inertia effects on the motion of a spherical particle past a fixed spherical obstacle of the same radius under the action of a constant force in a quiescent ambient fluid, using lattice Boltzmann simulations. The obstacle is located at the origin of coordinates, while the particle starts its motion far upstream to the obstacle along x-axis with an initial offset y-∞ = bin. We use the distance of closet approach of the particle from the obstacle  and the far downstream offset y∞ = bout above x-axis, as functions of the initial offset, as indicator variables to probe inertia effects on the trajectories. The computational method allows us to isolate and study the individual effects of particle and fluid inertia, quantified by Stokes and Reynolds numbers, respectively. We observe that, (a) as expected the particle trajectories are asymmetric, (b) the particle attains a smaller distance of closest approach from the obstacle due tothe presence of particle and/or fluid inertia, (c) the far downstream offset bout is smaller than the far upstream one bin when particle inertia is significant. Fluid inertia alone, on the other hand, does not significantly affect the behaviour of the far downstream offset for Re<2.5.

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