2026-09-22T13:36:07Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/16478 2023-07-10 col_2142_14800 col_2142_5131 com_2142_14799 com_2142_234 com_2142_5130

Loth, Eric Wang, Sida 2010-06-22T19:37:19Z 2010-06-22T19:37:19Z 2010-06-22T19:37:19Z 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. Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2010-04-29T22:14:03Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 2 Wang_Sida.doc: 1656320 bytes, checksum: f83b851656ee6c53b575c954eca53854 (MD5) Wang_Sida.pdf: 1077494 bytes, checksum: a835a8bbe0c84bb83b3fecbd9cba6236 (MD5) Made available in DSpace on 2010-06-22T19:37:19Z (GMT). No. of bitstreams: 4 Wang_Sida.pdf: 1077474 bytes, checksum: 76ee4f139517824ee71870144ec0c318 (MD5) 1_Wang_Sida.pdf: 1077494 bytes, checksum: a835a8bbe0c84bb83b3fecbd9cba6236 (MD5) 2_Wang_Sida.pdf: 1077907 bytes, checksum: 313df6945df3ea81fbbc95b2574dd8a7 (MD5) license.txt: 4058 bytes, checksum: ba9d8949f0b392e85acec480a41cf326 (MD5) http://hdl.handle.net/2142/16478 en Copyright 2010 Sida Wang Lagrangian Eulerian 2010-5 particle tracking concentration impact efficiency Lagrangian techniques for particle flux and concentration Aerospace Engineering 1615 Aerospace Engineering 4048 University of Illinois at Urbana-Champaign Thesis M.S. MS: Aerospace Engr -UIUC 10KS4048MS