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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
Sectorial Operators
R-Boundedness and Fourier Multipliers
H-calculus
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
Boundary Conditions
General Time Splitting Technique
Finite Volume Method
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
Experimental Setup
Admissibility of the Viscosity Function
Numerical Setup and Results
Existence of Strong Solutions for Two Phase Flows
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