Convective mass transport for viscous flow past an evolving boundary
Cohn, Mitchel
This item is only available for download by members of the University of Illinois community. Students, faculty, and staff at the U of I may log in with your NetID and password to view the item. If you are trying to access an Illinois-restricted dissertation or thesis, you can request a copy through your library's Inter-Library Loan office or purchase a copy directly from ProQuest.
Permalink
https://hdl.handle.net/2142/19308
Description
Title
Convective mass transport for viscous flow past an evolving boundary
Author(s)
Cohn, Mitchel
Issue Date
1990
Doctoral Committee Chair(s)
Higdon, Jonathan J.L.
Department of Study
Chemical and Biomolecular Engineering
Discipline
Chemical Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, Chemical
Language
eng
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.
Use this login method if you
don't
have an
@illinois.edu
email address.
(Oops, I do have one)
IDEALS migrated to a new platform on June 23, 2022. If you created
your account prior to this date, you will have to reset your password
using the forgot-password link below.
