Keywords
Diffusion, Control
Abstract
As motivation for the mathematical problems considered in this work, consider a chamber in the form of a long linear transparent tube. We allow for the introduction or removal of material in a gaseous state at the ends of the tube. The material diffuses throughout the tube with or without reaction with other materials. By illuminating the tube on one side with a light source with a frequency range spanning the absorption range for the material and collecting the residual light that passes through the tube with photo-reception equipment, we can obtain a measurement of the total mass of material contained in the tube as a function of time. Using the total mass as switch points for changing the boundary conditions for introduction or removal of material. The objective is to keep the total mass of material in the tube oscillating between two set values such as $m
Notes
If this is your thesis or dissertation, and want to learn how to access it or for more information about readership statistics, contact us at STARS@ucf.edu
Graduation Date
2005
Semester
Spring
Advisor
Cannon, John
Degree
Doctor of Philosophy (Ph.D.)
College
College of Arts and Sciences
Department
Mathematics
Degree Program
Mathematics
Format
application/pdf
Identifier
CFE0000551
URL
http://purl.fcla.edu/fcla/etd/CFE0000550
Language
English
Release Date
May 2005
Length of Campus-only Access
None
Access Status
Doctoral Dissertation (Open Access)
STARS Citation
Salman, Mohamed, "Utilization Of Total Mass As A Control In Diffusion Processes" (2005). Electronic Theses and Dissertations. 384.
https://stars.library.ucf.edu/etd/384