Date of Award
Summer 8-2015
Degree Type
Thesis
Degree Name
M.S.
Degree Program
Mathematics
Department
Mathematics
Major Professor
Dongming Wei
Second Advisor
Jairo Santanilla
Third Advisor
Kenneth Holladay
Abstract
The author presents some generalized Burgers' equations for incompressible and isothermal flow of viscous non-Newtonian fluids based on the Cross model, the Carreau model, and the Power-Law model and some simple assumptions on the flows. The author numerically solves the traveling wave equations for the Cross model, the Carreau model, the Power-Law model by using industrial data. The author proves existence and uniqueness of solutions to the traveling wave equations of each of the three models. The author also provides numerical estimates of the shock thickness as well as maximum strain $\varepsilon_{11}$ for each of the fluids.
Recommended Citation
Shu, Yupeng, "Numerical Solutions of Generalized Burgers' Equations for Some Incompressible Non-Newtonian Fluids" (2015). University of New Orleans Theses and Dissertations. 2051.
https://scholarworks.uno.edu/td/2051
Included in
Applied Mechanics Commons, Fluid Dynamics Commons, Numerical Analysis and Computation Commons, Ordinary Differential Equations and Applied Dynamics Commons, Partial Differential Equations Commons
Rights
The University of New Orleans and its agents retain the non-exclusive license to archive and make accessible this dissertation or thesis in whole or in part in all forms of media, now or hereafter known. The author retains all other ownership rights to the copyright of the thesis or dissertation.