Advances in Applied Mechanics

Foreword

In Memory of Hassan Aref (1950–2011)

List of Contributors

Mixing and Chaos in Open Flows

1. Introduction

2. Example of an Open Flow: The Blinking Vortex–Sink System

3. Chaotic Advection in Open Flows

4. Mixing in the Presence of Chaos: The Chaotic Saddle and the Appearance of Fractals

5. Transport Barriers and KAM Islands: The Effective Dimension

6. Mixing Fluids by Stirring in Continuous-Flow Processes

7. Chaotic Advection in the Ocean: Plankton Dynamics

8. Summary

The Role of Discontinuities in Mixing

1. Introduction

2. Dynamical Systems Approach

3. The Ergodic Hierarchy

4. Detecting and Quantifying Mixing

5. Examples of Model Systems

6. The Effect of Diffusion

7. Mixing Devices

8. Final Remarks

On Dissipation in Stirred Mixtures

1. Introduction

2. Still Substrate

3. Stirring Kinematics

4. Dissipation

5. Other Stirring Laws and Further Remarks

Beyond Passive

1. Introduction

2. Non-Passive Particles

3. Inertia

4. Diffusion

5. Reaction

6. Self-Propulsion

7. Concluding Remarks

Chaotic Advection for Thermal Mixing

1. Introduction

2. The Two-Rod Mixer

3. Computational Modeling

4. Reference Flow and Heat Transfer in the Two-Rod Mixer

5. Constant Heat Flux as a Parietal Thermal Boundary Condition

6. Non-Newtonian Fluids

7. Viscosity Temperature Dependence

8. Conclusion

Index