University of Illinois Urbana-Champaign

A fast algorithm for approximating hydrodynamic lubrication interactions between elastic particles

Higa, Kenneth F.

Content Files
1_Higa_Kenneth.pdf

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https://hdl.handle.net/2142/16742

Description

Title
A fast algorithm for approximating hydrodynamic lubrication interactions between elastic particles
Author(s)
Higa, Kenneth F.
Issue Date
2010-08-20T17:56:31Z
Director of Research (if dissertation) or Advisor (if thesis)
Higdon, Jonathan J.L.
Doctoral Committee Chair(s)
Higdon, Jonathan J.L.
Committee Member(s)
  • Schweizer, Kenneth S.
  • Rao, Christopher V.
  • Schroeder, Charles M.
Department of Study
Chemical & Biomolecular Engr
Discipline
Chemical Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Date of Ingest
2010-08-20T17:56:31Z
Keyword(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."
Graduation Semester
2010-08
Permalink
http://hdl.handle.net/2142/16742
Copyright and License Information
Copyright 2010 Kenneth F. Higa

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