Cargando…
Computational rheology /
Modern day high-performance computers are making available to 21st-century scientists solutions to rheological flow problems of ever-increasing complexity. Computational rheology is a fast-moving subject - problems which only 10 years ago were intractable, such as 3D transient flows of polymeric liq...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
London : River Edge, NJ :
Imperial College Press ; Distributed by World Scientific Pub. Co.,
©2002.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 1. Introduction. 1.1. Everything flows. 1.2. Non-Newtonian fluids. 1.3. Numerical simulation of non-Newtonian flow
- 2. Fundamentals. 2.1. Some important vectors. 2.2. Conservation laws and the stress tensor. 2.3. The Newtonian fluid. 2.4. The generalized Newtonian fluid. 2.5. The order fluids and the CEF equation. 2.6. More complicated constitutive relations
- 3. Mathematical theory of viscoelastic fluids. 3.1. Introduction. 3.2. Existence and uniqueness. 3.3. Properties of the differential systems. 3.4. Boundary conditions. 3.5. Singularities
- 4. Parameter estimation in continuum models. 4.1. Introduction. 4.2. Determination of viscosity. 4.3. Determination of the relaxation spectrum
- 5. From the continuous to the discrete. 5.1. Introduction. 5.2. Finite difference approximations. 5.3. Finite element approximations. 5.4. Finite volume methods. 5.5. Spectral methods. 5.6. Spectral element methods
- 6. Numerical algorithms for macroscopic models. 6.1. Introduction. 6.2. Prom Picard to Newton. 6.3. Differential models: steady flows. 6.4. Differential models: transient flows. 6.5. Computing with integral models. 6.6. Integral models: steady flows. 6.7. Integral models: transient flows
- 7. Defeating the high Weissenberg number problem. 7.1. Introduction. 7.2. Discretization of differential constitutive equations. 7.3. Discretization of the coupled governing equations
- 8. Benchmark problems I: contraction flows. 8.1. Vortex growth dynamics. 8.2. Vortex growth mechanisms. 8.3. Numerical simulation
- 9. Benchmark problems II. 9.1. Flow past a cylinder in a channel. 9.2. Flow past a sphere in a tube. 9.3. Flow between eccentrically rotating cylinders
- 10. Error estimation and adaptive strategies. 10.1. Introduction. 10.2. Problem description. 10.3. Discretization and error analysis (Galerkin method). 10.4. Adaptive strategies
- 11. Contemporary topics in computational rheology. 11.1. Advances in mathematical modelling. 11.2. Dynamics of dilute polymer solutions. 11.3. Closure approximations. 11.4. Stochastic differential equations. 11.5. Dynamics of polymer melts. 11.6. Lattice Boltzmann methods. 11.7. Closing comments.