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Title:A fast algorithm for approximating hydrodynamic lubrication interactions between elastic particles
Author(s):Higa, Kenneth F.
Director of Research:Higdon, Jonathan J.L.
Doctoral Committee Chair(s):Higdon, Jonathan J.L.
Doctoral Committee Member(s):Schweizer, Kenneth S.; Rao, Christopher V.; Schroeder, Charles M.
Department / Program:Chemical & Biomolecular Engr
Discipline:Chemical Engineering
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Elastohydrodynamic
Elastic Particle
Lubrication
Suspension
Integro-differential
Algorithm
Abstract: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.
Issue Date:2010-08-20
URI:http://hdl.handle.net/2142/16742
Rights Information:Copyright 2010 Kenneth F. Higa
Date Available in IDEALS:2010-08-20
Date Deposited:2010-08


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