Falling Liquid Films

- Preface
- Acknowledgements
- Nomenclature
- Introduction
- Review of Phenomenology
- Modelling: state-of-the-art
- Structure of the book
1 Flow and heat transfer
1.1 Governing equations and boundary conditions
1.2 Dimensionless equations, scalings and parameters
1.3 The role of the Biot number
1.4 Salient features
1.5 References and further reading
2 Primary instability
2.1 Linear stability analysis
2.2 Transverse disturbances
2.3 Longtitudinal disturbances
2.4 Mechanism of the hydrodynamic instability
2.5 Salient features
2.6 References and further reading
3 Boundary layer-like approximation
3.1 Boundary layer equations
3.2 2D Boundary Layer Equations
3.3 Strong surface tension limit
3.4 Shkadov's scaling
3.5 Reduction of the governing equations
3.7 Scalings: three sets of parameters
3.8 Salient features
3.9 References and further reading
3.10 Appendix
4 Methodologies for flows at low Re
4.1 Long-wave asymptotic expansion
4.2 Validity domain of the Benney equation
4.3 Parametic study for closed and open flows
4.4 Regularization a la Pade
4.5 Comparison of the different one-equation models
4.6 Weakly nonlinear models
4.7 Salient features
4.8 References and further reading
4.9 Appendix
4.10 Physical parameters
4.11 Small Biot number, analogy with forced convection
5 Methodologies for moderate Re
5.1 Averaged two-equation models
5.2 Relaxing the self-similar assumption
5.3 Methods of weighted residuals
5.4 First-order formulation
5.5 Comparison of methods of weighted residuals
5.6 Second-order formulation -5.7 Reduction of the full second order model
5.8 Salient features
5.9 References and further reading
6 Isothermal case: 2D flow
6.1 Linear stability analysis
6.2 Travelling waves
6.3 Spatial evolution of 2D waves
6.4 Salient features
6.5 References and further reading
6.6 Appendix
7 Isothermal case: 3D flow
7.1 Phenomenology
7.2 2D modelling of 3D film flows
7.3 Floquet Analysis: 3D stability of 2D