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Transport and deposition of inertial particles in a fracture with periodic corrugation

Abstract : It is well-known that inertial particles tend to focus on preferential trajectories in periodic flows. The goal of this thesis was to study the joint effect of particle focusing and sedimentation on their transport through a model 2D fracture with a periodic corrugation. First, single-phase flow though the fracture has been considered: the classical results of the inertial lubrication theory are revisited in order to include asymmetric fracture geometries. Cubic corrections to Darcy's law have been found analytically and expressed in terms of two geometric factors, describing channel geometry. For weakly-inertial particles in a horizontal channel it has been shown that, when inertia is strong enough to balance out the gravity forces, particles focus to some attracting trajectory inside the channel. The full trapping diagram is obtained, that predicts the existence of such attracting trajectory regime depending on the Froude number and on geometric factors. Numerical simulations confirm the asymptotic results for particles with small response times. The influence of the lift force on particle migration has also been studied. In a vertical channel the lift is induced by gravity and leads to complex trapping diagrams. In the absence of gravity the lift is caused by inertial lead/lag of particles and can lead to chaotic particle dynamics. Finally, for dust particles in a vortex pair it has been shown that particles can be trapped into one or two equilibrium points in a reference frame rotating with the vortices. A full trapping diagram has been obtained, showing that any pair of vortices can trap particles, independently of their strength ratio and the direction of rotation.
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Submitted on : Monday, November 12, 2012 - 12:53:27 PM
Last modification on : Monday, November 9, 2020 - 9:46:03 AM
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  • HAL Id : tel-01750416, version 2

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Tatiana Nizkaya. Transport and deposition of inertial particles in a fracture with periodic corrugation. Mechanics of the fluids [physics.class-ph]. Université de Lorraine, 2012. English. ⟨NNT : 2012LORR0410⟩. ⟨tel-01750416v2⟩

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