Term of Award

Spring 2007

Degree Name

Master of Science in Mathematics (M.S.)

Document Type and Release Option

Thesis (open access)

Copyright Statement / License for Reuse

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.


Department of Mathematical Sciences

Committee Chair

Yan Wu

Committee Member 1

Xiezhang Li

Committee Member 2

Viktor Maymeskul

Committee Member 3

Xiao-jun Wang

Committee Member 3 Email



The objective of this work is to design a quotient controller to stabilize a chaotic flow in a single loop thermosyphon system with a high heat index. The thermosyphon loop is heated from below and cooled from above, which causes time-dependent chaotic flow when the external heat index is above a threshold value. Our goal was to stabilize the fluid into a convective uni-directional flow well into the chaotic regime. We also investigated adding a tracking integrator to the thermosyphon system to allow tracking to a specific temperature.

Research Data and Supplementary Material