http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
Similarity and dimensional methods in mechanics
Metody podobii͡a i razmernosti v mekhanike. English
Similiarity and Dimensional Methods in Mechanics, 10th Edition is an English language translation of this classic volume examining the general theory of dimensions of physical quantities, the theory of mechanical and physical similarity, and the theory of modeling. Several examples illustrate the use of the theories of similarity and dimensions for establishing fundamental mechanical regularities in aviation, explosions, and astrophysics, as well as in the hydrodynamics of ships. Other interesting areas covered include the general theory of automodel motions of continuum media, the theory of propagation of explosion waves in gases, the theory of one-dimensional nonestablished motion in gases, the fundamentals of the gas-dynamics theory of atom-bomb explosion in the atmosphere and the theory of averaging of gaseous flows in channels. Aspects of modeling include the dimensionless characteristics of compressor operation, the theories of engine thrust, and efficiency of an ideal propeller for subsonic and supersonic speeds. Similiarity and Dimensional Methods in Mechanics, 10th Edition is an ideal volume for researchers and students involved in physics and mechanics.
Cover -- Half Title -- Title Page -- Copyright Page -- Table of Contents -- Preface to the Ninth Edition -- Preface to the Eighth Edition -- Preface to the Sixth Edition -- Preface to the Third Edition -- Preface to the First Edition -- Chapter 1: General Dimensional Theory for Different Quantities -- 1. Introduction -- 2. Dimensional and Dimensionless Quantities -- 3. Fundamental and Derived Units of Measurement -- 4. On Dimensional Formulas -- 5. On Newton's Second Law -- 6. Nature of Functional Relations between Physical Quantities -- 7. Parameters Determining a Class of Phenomena -- Chapter 2: Similarity, Modeling, and Various Examples of Dimensional Theory -- 1. Motion of a Simple Pendulum -- 2. Flow of a Heavy Fluid through a Spillway -- 3. Fluid Motion in Pipes -- 4. Motion of a Body in a Fluid -- 5. Heat Transfer from a Body in a Fluid Flow -- 6. Dynamic Similarity and Modeling of Phenomena -- 7. Steady Motion of a Solid Body in a Compressible Fluid -- 8. Unsteady Motion of a Fluid -- 9. The Motion of a Ship -- 10. Planing over the Water Surface -- 11. Impact on the Water -- 12. Submergence of a Cone and Wedge into a Fluid with Constant Velocity -- 13. Small Waves on a Surface of Incompressible Fluid -- 14. Three-Dimensional Self-Similar Motions of Continua -- Chapter 3: Applicatioa to the Theory of Motion of Viscous Fluid and to the Theory of Turbulence -- 1. Diffusion of Vortices in a Viscous Fuid -- 2. Exact Solutions of Equations of Motion of a Viscous Incompressible Fluid -- 3. Boundary Layer in the Flow of a Viscous Fluid Past a Plane Plate -- 4. Isotropic Turbulent Motions of an Incompressible Fluid -- 5. Steady Turbulent Motions -- Chapter 4: One-Dimensional Unsteady Motions of a Gas -- 1. Self-Similar Motions of Spherical, Cylindrical, and Plane Waves in a Gas.
2. Ordinary Differential Equations and Shock Conditions for Self-Similar Motions -- 3. Algebraic Integrals for Self-Similar Motions -- 4. Some Limiting Cases of Self-Similar Motions -- 5. Study of the Fields of Integral Curves in z, V Plane -- 6. The Piston Problem -- 7. The Problem of an Implosion and Explosion at a Point -- 8. Spherical Detonation -- 9. The Flame Propagation -- 10. The Decay of an Arbitrary Discontinuity in a Combustible Mixture -- 11. The Problem of an Intense Explosion -- 12. A Point Explosion with Counterpressure Taken into Account -- 13. Simulation and Formulas for Maximum Pressure and Impulse in Explosions -- 14. The Problem of an Intense Explosion in a Medium with Variable Density -- 15. Unsteady Gas Motions when Velocity Is Proportional to the Distance from the Center of Symmetry -- 16. The General Theory of One-Dimensional Gas Motions -- 17. Asymptotic Laws of Shock Wave Decay -- Chapter 5: Introduction to the Theory of Gas Machines -- 1. On the Averaging of Nonuniform Gas Flows in Channels -- 2. Similarity Conditions and Abstract Parameters Determining Characteristics of Compressors -- 3. On Flight Efficiency of an Ideal Rotor and Ideal Jet Engine -- Chapter 6: Applications to Astrophysics Problems -- 1. Certain Observation Data -- 2. Equations of the Equilibrium and Motion of a Gas Mass Simulating a Star -- 3. Theoretical Formulas for Luminosity-Mass and Radius-Mass Relations -- 4. Some Simple Solutions of the Equilibrium Equations of Stars -- 5. A Relation between the Period of Brightness Variation and Mean Mass Density for Cepheids -- 6. The Theory of Flare-Ups of Nova and Supernova -- Index.
L.I. Sedov ; translated by A.G. Volkovets.