Analysis of Non-Newtonian and two-phase flows / Kerstin Wielage. 2005
Inhalt
- Introduction
- Mathematical Modeling of Non-Newtonian Fluids
- Motivation
- Notation
- Balance Equations
- The Total Stress Tensor
- Constitutive Equations
- Rate of Deformation Tensor
- Rate of Shear
- General Principles for Constitutive Equations
- Incompressible Pure Viscous Fluids
- Other Models
- Conclusion
- Local Strong Solvability of Non-Newtonian Flow Problems
- Notations
- Preliminaries
- Existence Result for Generalized Newtonian Flows
- Strong Ellipticity
- The Linear Problem with Constant Coefficients
- The Linear Problem with Variable Coefficients
- The Nonlinear Problem
- Related Work
- Numerical Analysis of Two-phase Flows
- Numerical Treatment of the Navier-Stokes Equations
- Numerical Treatment of Two-phase Flows
- Notations for Two-phase Flows
- Mathematical Modeling of Surface Tension
- Interfacial Dirac-Distribution
- Interfacial Jump Conditions
- Numerical Treatment of the Interface
- Interfacial Area
- Surface Tension
- Binary Droplet Collision: Experiment and Simulation
- Existence of Strong Solutions for Two Phase Flows