Advances in Applied Mechanics Volume 1

✍ Scribed by von Mises R., von Karman T. (eds.)

• Publisher: Academic Press
• Year: 1948
• Tongue: English
• Leaves: 303
• Category: Library

✦ Table of Contents

Front Cover
Advances in Applied Mechanics, Volume 1
Copyright Page
Contents
Preface
Chapter 1. Recent Advances in the Mechanics of Boundary Layer Flow
I. Introduction
II. Laminar Flow in Boundary Layers
III. Stability of Laminar Boundary Layer Flow
IV. Boundary Layer Suction
V. Turbulent Flow in Boundary Layers
Bibliography of Related Papers
Chapter 2. Modern Trends in Nonlinear Mechanics
I. Topological Methods
II. Analytical Methods
III. Nonlinear Resonance and Associated Phenomena
References
Chapter 3. Survey of Papers on Elasticity Published in Holland 1940–1946
I. Publications of the Laboratory for Applied Mechanics of the Technische Hoogeschool at Delft
II. Publications of the Nederlandsche Centrale Organisatie voor Toegepast Natuurwetenschappelijk Onderzoek (T.N.O.), the Hague
III. Publications of the National Luchtvaartlaboratorium at Amsterdam
IV. Books
Bibliography
Chapter 4. A Mathematical Model Illustrating the Theory of Turbulence
I. Introduction
II. The Equations Describing the Model System
III. Laminar Solution of the System (1)-(2)
IV. Stationary Turbulent Solutions of Equation (2)
V. Spectrum of the Stationary Turbulent Solutions
VI. Additional Remarks Concerning the Spectrum of the Stationary Solutions
VII. Nonstationary Solutions of Equation (2)
VIII. Application of Equation (2) to an Infinite Domain
IX. Spatial Correlation in the Values of v for an Isolated Domain of Coherence
X. Application of Similarity Considerations
XI. Continuation
XII. Statistical Treatment, Based upon the Energy Balance, of the System Considered in Sections II–VII
XIII. System with Two Components in the Secondary Motion
XIV. Properties of the Turbulent Solutions
XV. Concluding Remarks
Chapter 5. On Numerical Methods in Wave Interaction Problems
I. The Problem
II. Solution of the Boundary Value Problem for t < to
III. The Initial Values for the Computation Beyond the Collision
IV. The Problem of Determining the Solution for t > to and the Principle of the Proposed Numerical Method
V. The Computations
VI. Variable Entropy
VII. J. von Neumann’s Mechanical Model of Shock Motion
VIII. The Computations
IX. Procedure for Finding a Continuous Solution by Taking Viscosity into Account
Chapter 6. On Bergman’s Integration Method in Two-Dimensional Compressible Fluid Flow
Foreword
Part I. General Theory
Part II. Simplified Pressure-Density Relation
Bibliography
Author Index
Subject Index