Abstract/Details

Investigation of steady-state solutions for electrochemical processes

Yu, Xun. 
 University of Connecticut ProQuest Dissertations Publishing,  1992. 9310258.

Abstract (summary)

The governing equations of mass transport process in a dilute electrolyte are: (UNFORMATTED TABLE OR EQUATION FOLLOWS)$$\eqalign{{\partial u\sb{i}\over\partial t} = {\partial\over\partial x}(d\sb{i}{\partial u\sb{i}\over\partial x}&+d\sb{i}e\sb{i}{\partial\phi\over\partial x}u\sb{i}),\quad i = 1,\...,m\cr&\sum\limits\sbsp{i=1}{m}e\sb{i}u\sb{i} = 0\cr}$$(TABLE/EQUATION ENDS)where $u\sb{i}$, $d\sb{i}$ and $e\sb{i}$ are the concentration, diffusion coefficient and charge of species i respectively, $\phi$ is the potential in the electrolyte. Both $u\sb{i}$ and $\phi$ are solutions yet to be determined.

We investigate the steady state solution to the above equations subject to some nonlinear boundary conditions for two electrochemical models. In the first model, a species is produced at one electrode and consumed at another. In the second model, species which are supplied from an external source are all consumed at the electrodes. The existence of the steady state solution is proved for each model. Finally, the numerical algorithm has been developed to find the numerical approximation to the steady state solution for each model.

Indexing (details)


Subject
Mathematics
Classification
0405: Mathematics
Identifier / keyword
Pure sciences; electro; electrochemistry; mass transport
Title
Investigation of steady-state solutions for electrochemical processes
Author
Yu, Xun
Number of pages
77
Degree date
1992
School code
0056
Source
DAI-B 53/12, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
979-8-208-50976-0
Advisor
Choi, Y. S.
University/institution
University of Connecticut
University location
United States -- Connecticut
Degree
Ph.D.
Source type
Dissertation or Thesis
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
9310258
ProQuest document ID
303990300
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
https://www.proquest.com/docview/303990300/abstract