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, ...

Author: L. I. Sedov

Publisher: CRC Press

ISBN: 9781351416566

Category: Science

Page: 496

View: 698

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.

Dimensional and similarity theory provides one with the possibility of such prior qualitative-theoretical analysis and the choice of a set for ...

Author: L. I. Sedov

Publisher: CRC Press

ISBN: 9781351416573

Category: Science

Page: 496

View: 422

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.

This ground-breaking reference provides an overview of key concepts in dimensional analysis, and then pushes well beyond traditional applications in fluid mechanics to demonstrate how powerful this tool can be in solving complex problems ...

Author: Bahman Zohuri

Publisher: Springer

ISBN: 9783319134765

Category: Technology & Engineering

Page: 372

View: 567

This ground-breaking reference provides an overview of key concepts in dimensional analysis, and then pushes well beyond traditional applications in fluid mechanics to demonstrate how powerful this tool can be in solving complex problems across many diverse fields. Of particular interest is the book’s coverage of dimensional analysis and self-similarity methods in nuclear and energy engineering. Numerous practical examples of dimensional problems are presented throughout, allowing readers to link the book’s theoretical explanations and step-by-step mathematical solutions to practical implementations.

The similarity in fluid mechanics then allows for better redefinition of the analysis by removing dimensionless elements. This book deals with these two tools, with a focus on the Rayleigh method and the Vaschy-Buckingham method.

Author: Viktor Pavlovich KorobeĭnikovPublish On: 1976

L. I. Sedov , Similarity and dimensional methods in mechanics , 4th ed . , GITTL , Moscow , 1957 ; English transl . , Academic Press , New York , 1959.

The present text sets itself in relief to other titles on the subject in that it addresses the means and methodologies versus a narrow specific-task oriented approach.

Author: Josef Kuneš

Publisher: Springer Science & Business Media

ISBN: 9781907343773

Category: Mathematics

Page: 442

View: 867

The present text sets itself in relief to other titles on the subject in that it addresses the means and methodologies versus a narrow specific-task oriented approach. Concepts and their developments which evolved to meet the changing needs of applications are addressed. This approach provides the reader with a general tool-box to apply to their specific needs. Two important tools are presented: dimensional analysis and the similarity analysis methods. The fundamental point of view, enabling one to sort all models, is that of information flux between a model and an original expressed by the similarity and abstraction Each chapter includes original examples and applications. In this respect, the models can be divided into several groups. The following models are dealt with separately by chapter; mathematical and physical models, physical analogues, deterministic, stochastic, and cybernetic computer models. The mathematical models are divided into asymptotic and phenomenological models. The phenomenological models, which can also be called experimental, are usually the result of an experiment on an complex object or process. The variable dimensionless quantities contain information about the real state of boundary conditions, parameter (non-linearity) changes, and other factors. With satisfactory measurement accuracy and experimental strategy, such models are highly credible and can be used, for example in control systems.

A section of this book is devoted to these new findings.

Author: Claus Weiland

Publisher: Springer Nature

ISBN: 9783030429300

Category: Science

Page: 199

View: 245

The mechanics of similarity encompasses the analysis of dimensions, performed by various procedures, the gasdynamic similarity and the model technology. The analysis of dimensions delivers the dimensionless numbers by which specific physical challenges can be described with a reduced number of variables. Thereby the assessment of physical problems is facilitated. For fluid dynamics and all sorts of heat transfer the discipline of the mechanics of similarity was so important in the past, that the historical background is highlighted of all the persons who have contributed to the development of this discipline. The goal of the classical gasdynamic similarity was to find rules, which enables the aerodynamic engineer to perform transformations from existing flow fields to others, which meet geometrical and other specific flow field parameters. Most of these rules and findings do no longer play a role today, because a lot of potent experimental and theoretical/numerical methods are now available. This problem is addressed in the book. A recent investigation regarding the longitudinal aerodynamics of space vehicles has revealed, that there exist other astonishing similarities for hypersonic and supersonic flight Mach numbers. It seems, that obviously most of the longitudinal aerodynamics is independent from the geometrical configurations of the space vehicle considered, if a simple transformation is applied. A section of this book is devoted to these new findings.

SEDOV, L. I.: [Similarity and Dimensional Methods in Mechanics], 2d ed. G.I.T.T.L., Moscow, 1951. 193 pp. STUBBINGS, G. W.: "Dimensions in Engineering ...

Author: Nikolaj Nikolaevič Janenko (Russisch wiskundige)Publish On: 1970

L. I. Sedov , Similarity and dimensional methods in mechanics , 4th ed . , GITTL , Moscow , 1957 ; English transl . , Academic Press , New York , 1959.

Sedov , L . I . , Similarity and Dimensional Methods in Mechanics . New York : Academic Press , 1959 . 7 . Birkhoff , G . , Hydrodynamics - A Study in Logic ...

Author: Robert W. Fox

Publisher:

ISBN: UVA:X004153127

Category: Science

Page: 762

View: 774

This successful book presents the fundamentals of fluid mechanics clearly and succinctly. Knowledge of fluid flow is essential to industries involving heat transfer, chemical processes, and aerodynamics. The book makes use of a problem-solving methodology and includes outstanding example problems. Topics covered are flow fields; potential theory and boundary layer theory; Bernoulli's Equation, Dimensional Analysis. Fox & McDonald provide a balanced approach to fluid mechanics that arms students with proven problem-solving methodology. Student will learn to develop and orderly plan to solve problems - to start from basic equations, state assumptions clearly, and relate results to expected physical behavior.

Interesting applications of dimensional analysis to unusual experimental ... 5 . sedov , L . I . Similarity and dimensional methods in mechanics ( London ...

Author: Walter John Dinnie Annand

Publisher:

ISBN: UOM:39015018251895

Category: Technology & Engineering

Page: 353

View: 290

Contents - 1. Units and dimensions - 2. Some consequences of Newton's laws of motion - 3. Application of the first law of thermodynamics - 4. Friction and lubrication - 5. Plane linkage mechanisms - 6. Power transmission by toothed gear wheels - 7. Power transmission by hydrokinetic devices - 8. Power transmission by belts - 9. About vibration - 10. Free vibration of undamped linear systems of one degree of freedom - 11. Natural frequencies of higher-order linear systems - 12. Vibration of a single-degree linear system with viscous damping and sinusoidal forcing - 13. Vibration analogies - 14. Sources of periodic exciting forces in machinery - 15. Introduction to control theory - Appendix - Essentials of vector algebra - Solutions to exercises - Index -

Chick , A . C . : " Dimensional Analysis and the Principle of Similitude ... Similarity and Dimensional Methods in Mechanics " ( English translation ...

Mekhanika sploshnykh sred ( Mechanics of Continuous Media ) . – Moskva , Gostekhizdat . 1953 . 14. Sedov , L. I. Similarity and Dimensional Methods in ...

Author: American Society of Civil Engineers. Engineering Mechanics DivisionPublish On: 1971

Sedov , L. I. , Similarity and Dimensional Methods in Mechanics , Infosearch Lid . , London , 1952 . APPENDIX II . - NOTATION The following symbols are used ...

Author: American Society of Civil Engineers. Engineering Mechanics Division