Advances in Applied Mechanics

Advances in Applied Mechanics, 1st Edition

Advances in Applied Mechanics, 1st Edition,Erik van der Giessen,Hassan Aref,ISBN9780123808769

Advances in Applied Mechanics

van der Giessen   &   Aref   

Academic Press




229 X 152

Highlights classical and modern areas of mechanics that are ready for review and provides comprehensive coverage of the field in question

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Key Features

  • Highlights classical and modern areas of mechanics that are ready for review
  • Provides comprehensive coverage of the field in question


The Advances in Applied Mechanics book series draws together recent significant advances in various topics in applied mechanics. Published since 1948, Advances in Applied Mechanics aims to provide authoritative review articles on topics in the mechanical sciences, primarily of interest to scientists and engineers working in the various branches of mechanics, but also of interest to the many who use the results of investigations in mechanics in various application areas, such as aerospace, chemical, civil, environmental, mechanical and nuclear engineering.


Scientists and engineers working in mechanics and university librarians. Engineers requiring state-of-the-art reviews of current research topics in mechanics

Erik van der Giessen

Affiliations and Expertise

Department of Applied Physics, University of Groningen, Groningen, The Netherlands

View additional works by Erik van der Giessen

Hassan Aref

Affiliations and Expertise

Department of Engineering Science and Mechanics, Virginia Tech, Blacksburg, VA, USA

View additional works by Hassan Aref

Advances in Applied Mechanics, 1st Edition


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


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