One-dimensional Differential Newtonian Analysis for Applications in Saliva Rheology by Louise Lu McCarroll A dissertation submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy (Mechanical Engineering) in The University of Michigan 2017 Doctoral Committee: Professor William W Schultz, Co-Chair Professor Michael J Solomon, Co-Chair Professor Joseph Bull Dr. Joseph T Murray, Veterans Affairs Hospital Professor Alan S Wineman Louise Lu McCarroll
[email protected] ORCID iD: 0000-0003-1471-0655 © Louise Lu McCarroll 2017 For my parents, Yin and Lin Lin ii ACKNOWLEDGEMENTS I think the best phrase that describes this experience for me is \it takes a village" or in my case it should be \it takes a whole metropolitan area and then some." But I'll stick with the \village" analogy for now. The chief villagers I'd like to thank are my advisors, Professor William Schultz and Professor Michael Solomon, for their seemingly unlimited supply of patience with me, especially when I was feeling like the village idiot. Thank you for your guidance these past few years, for teaching me to be resourceful, to a construct logical argument and perform novel analyses, for propping me up when my spirits were low, and last but not least, for being so approachable. I have really enjoyed working on this project with you both. Bill - I am still trying to learn how to \embrace chaos." Mike - I appreciate all the structure you have imposed on this process. I'd also like to extend my gratitude to my committee members, Professor Alan Wineman, Professor Joseph Bull, and Dr.