University of Illinois Urbana-Champaign

Lagrangian techniques for particle flux and concentration

Wang, Sida

Content Files
2_Wang_Sida.pdf

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https://hdl.handle.net/2142/16478

Description

Title
Lagrangian techniques for particle flux and concentration
Author(s)
Wang, Sida
Issue Date
2010-06-22T19:37:19Z
Director of Research (if dissertation) or Advisor (if thesis)
Loth, Eric
Department of Study
Aerospace Engineering
Discipline
Aerospace Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
M.S.
Degree Level
Thesis
Date of Ingest
2010-06-22T19:37:19Z
Keyword(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.
Graduation Semester
2010-5
Permalink
http://hdl.handle.net/2142/16478
Copyright and License Information
Copyright 2010 Sida Wang

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