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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Numerical Solutions of Generalized Burgers' Equations for Some Incompressible Non-Newtonian Fluids

Shu, Yupeng 11 August 2015 (has links)
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.
Numerical solutions
Generalized Burgers' equation
Non-Newtonian fluid flows
first-order implicit ODE
Existence and Uniqueness of Solutions
Applied Mechanics
Fluid Dynamics
Numerical Analysis and Computation
Partial Differential Equations

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