2026-09-19T19:43:38Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/16742 2023-07-10 col_2142_5131 col_2142_11615 com_2142_5130 com_2142_9130 com_2142_8903

Made available in DSpace on 2010-08-20T17:56:31Z (GMT). No. of bitstreams: 3 Higa_Kenneth.pdf: 2312620 bytes, checksum: ec5ce7a5b2725293e6f6bfeb9258614c (MD5) 1_Higa_Kenneth.pdf: 2312665 bytes, checksum: aef11826adce2877b64cc45c9460c85f (MD5) license.txt: 4059 bytes, checksum: b2146ed29f6bd5c34c1f6d0f90262a39 (MD5) http://hdl.handle.net/2142/16742 en Copyright 2010 Kenneth F. Higa Elastohydrodynamic Elastic Particle Lubrication Suspension Integro-differential Algorithm A fast algorithm for approximating hydrodynamic lubrication interactions between elastic particles Higdon, Jonathan J.L. Higdon, Jonathan J.L. Schweizer, Kenneth S. Rao, Christopher V. Schroeder, Charles M. Higa, Kenneth F. 2010-08-20T17:56:31Z 2010-08-20T17:56:31Z 2010-08-20T17:56:31Z 2010-08 "We present in this work a fast nonlinear method which approximately solves an integro-partial differential equation that describes the dominant elastohydrodynamic lubrication interaction between two elastic spheres in a Newtonian fluid. This governing equation was given by Christensen [7], Goddard [13], and Davis, Serayssol, and Hinch (DSH) [8]. Our approximate method is intended for inclusion in highly accurate, large-scale simulations of concentrated suspensions of deformable particles. This method inherits all of the assumptions made in the derivation elastohydrodynamic equation, including the restriction to linearly-elastic deformation of smooth particles in a Newtonian fluid with no-slip boundary conditions, and consideration of relative motion only along the axis of symmetry. The approximate solutions are characterized by a variable number of parameters, whose number may be chosen to balance accuracy and speed. This method shows good accuracy and stability over a wide range of conditions. We present selected simulation results which provide a qualitative understanding of hydrodynamic collisions of elastic spheres. These interactions differ markedly from those between rigid spheres. They are strongly dependent on deformation history and display a short-lived ""sticking"" behavior, which in extreme cases takes the form of a unique ""peeling"" separation process." Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2010-07-09T18:50:29Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Higa_Kenneth.pdf: 2312620 bytes, checksum: ec5ce7a5b2725293e6f6bfeb9258614c (MD5) Chemical & Biomolecular Engr 1687 Chemical Engineering 0300 University of Illinois at Urbana-Champaign Dissertation Ph.D. PHD:Chemical Engineering -UIUC 10KS0300PHD