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Title:Lagrangian techniques for particle flux and concentration
Author(s):Wang, Sida
Advisor(s):Loth, Eric
Department / Program:Aerospace Engineering
Discipline:Aerospace Engineering
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:M.S.
Genre:Thesis
Subject(s):Lagrangian
Eulerian
particle tracking
concentration
impact efficiency
Abstract:A new technique is proposed for computing Eulerian particle concentration and fluxes based on Lagrangian particle trajectories. In particular, a Lagrangian concentration differential equation is solved along a particle path using Eulerian derivatives for the particle velocity divergence field. This is referred to as the Lagrangian Concentration Differential Equation (LCDE) technique and is shown to provide efficient and accurate results for steady flows. It is compared to other Lagrangian techniques using high order trajectory simulations for particle with a linear drag law. Steady two-dimensional flows in a corner and past a cylinder are considered as the fundamental flows while the MS317 airfoil is considered as an industrial application. For all these flows, the concentration or flux fields are predicted for both tracer particles (which follow the flow) and for particles of finite inertia, as characterized by Stokes numbers. The LCDE approach is found to capture the accuracy of area-based Lagrangian methods (which are limited to steady flows) but may also be used in unsteady flows. In future work, this approach may be investigated with respect to unsteady and three-dimensional flows.
Issue Date:2010-06-22
URI:http://hdl.handle.net/2142/16478
Rights Information:Copyright 2010 Sida Wang
Date Available in IDEALS:2010-06-22
Date Deposited:May 2010


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