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Title:Convective mass transport for viscous flow past an evolving boundary
Author(s):Cohn, Mitchel
Doctoral Committee Chair(s):Higdon, Jonathan J.L.
Department / Program:Chemical and Biomolecular Engineering
Discipline:Chemical Engineering
Degree Granting Institution:University of Illinois at Urbana-Champaign
Subject(s):Engineering, Chemical
Abstract:A Boundary Integral-Spectral Element method is developed that solves two-dimensional Helmholtz equations. This high order technique is shown to be adaptable to a variety of boundary conditions and solves elliptic partial differential equations efficiently such that it is applicable to moving boundary problems of arbitrarily shaped domains. A "patching" technique is developed that directly applies the boundary integral method to solve the nonhomogeneous partial differential equations without having to evaluate any volume integrals.
The Boundary Integral-Spectral Element method is used to study forced convection mass transport phenomena for Stokes flow past evolving boundaries. In general, deposition and dissolution problems with flow involve complicated interactions between the shape of the domain, the fluid flow, and the concentration profile. Results for deposition with Stokes flow past wary walls (including large amplitude waves) and rectangular cavities show that the convective transport is significant for moderate values of Peclet number. The deposition on a wall or the dissolution of a wall into a fluid has numerous industrial and biological applications. The Boundary Integral-Spectral Element method has further applications in heat transfer problems, heat and mass transfer, large Reynolds number flow, and multicomponent chemical reactions in the fluid and on the interface.
Issue Date:1990
Rights Information:Copyright 1990 Cohn, Mitchel
Date Available in IDEALS:2011-05-07
Identifier in Online Catalog:AAI9114209
OCLC Identifier:(UMI)AAI9114209

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