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Higdon, Jonathan J.L. Cohn, Mitchel 2011-05-07T12:03:26Z 2011-05-07T12:03:26Z 10000-01-01 1990 "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. Made available in DSpace on 2011-05-07T12:03:26Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9114209.pdf: 9556392 bytes, checksum: 44e7b39f4f258f326054f1291868a67b (MD5) Previous issue date: 1990 Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:36:04Z Item is restricted indefinitely. Restriction data tranferred 2014-07-01T11:14:27-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission ETDs are only available to UIUC Users without author permission U of I Only AAI9114209 (UMI)AAI9114209 http://hdl.handle.net/2142/19308 eng Copyright 1990 Cohn, Mitchel Engineering, Chemical Convective mass transport for viscous flow past an evolving boundary text Chemical and Biomolecular Engineering Chemical Engineering University of Illinois at Urbana-Champaign Dissertation Ph.D.