
Advances in Applied Mechanics
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Content
- Front Cover
- Advances in Applied Mechanics, Volume III
- Copyright Page
- Contents
- Contributors to Volumes III
- Preface
- Chapter 1. Boundary Layer Problems in Applied Mechanics
- I. Introduction
- II. The Ocean Current Problem
- III. A Heat Transfer Problem
- IV. A Convection Problem
- V. The Relaxation Oscillations of the Van der Pol Oscillator
- VI. Other Boundary Layer Problems
- VII. General Remarks
- VIII. Appendix
- References
- Chapter 2. The One-Dimensional Isentropic Fluid Flow
- I. Introduction
- II. The Basic Equations
- III. General Integrals of the Equation Zvv - Zuu = ? (?) Z?
- IV. The Initial Value Problem
- V. Applications
- References
- Chapter 3. Turbulent Diffusion: Mean Concentration Distribution in a Flow Field of Homogeneous Turbulence
- I. Introduction
- II. Statistical Description of a Turbulent Field
- III. Fundamental Equation of Turbulent Diffusion
- IV. Mean Concentration Distribution Produced by a Point Source of Diffusion
- V. Mean Concentration Distribution Produced by an Infinite Line Source of Diffusion
- VI. Differential Equations of Diffusion and Statistical Theory of Turbulence
- Appendix
- References
- Chapter 4. On Aerodynamics of Blasts
- I. Introduction
- II. The Diffraction of Very Weak Shocaks around Wedges of Arbitrary Angle
- III. Pressure and Density Fields behind Blasts Advancing over Arbitrary Flat Surfaces
- IV. Head-on Encounter of a Shock with an Almost Perpendicular Wall
- References
- Chapter 5. On the Presence of Shocks in Mixed Subsonic-Supersonic Flow Patterns
- Introduction
- I. The Nonexistence of Solutions for Certain Boundary Value Problems of the Mixed Type
- II. Physical Considerations
- References
- Chapter 6. Vortex Systems in Wakes
- I. Object of the Review
- II. General
- III. The Vortex Line Pair
- IV. The Double Row of Vortices
- V. Three-Dimensional Disturbances
- VI. Other Problems
- VII. Three-Dimensional Wake
- VIII. Conclusion
- References
- Chapter 7. Some Recent Results in the Theory of an Ideal Plastic Body
- I. Definition and Derivation of a General Plane Problem
- II. On the General Plane Problem
- III. Examples of Complete Problems
- References
- Chapter 8. Non-Autonomous Systems
- I. Introduction
- II. The Topological Transformation
- III. Stability of Periodic Solutions
- IV. Indices of Fixed Points
- V. Systems of Class D
- VI. The Equation: x + ƒ(x) = Fg(sin ?t)
- VII. The Equation: x + a2x = ø(x,x,k,e,t)
- VIII. The Equation: x + kx + (l + ax) = 3? cos at
- References
- Author Index
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