Similarity and Dimensional Methods in Mechanics
Similarity and Dimensional Methods in Mechanics

Author: L. I. Sedov

Publisher: CRC Press

Published: 2018-05-04

Total Pages: 496

ISBN-13: 135141657X

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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 Analysis and Self-Similarity Methods for Engineers and Scientists
Dimensional Analysis and Self-Similarity Methods for Engineers and Scientists

Author: Bahman Zohuri

Publisher: Springer

Published: 2015-04-15

Total Pages: 379

ISBN-13: 3319134760

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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.

Similarity and Dimensional Methods in Mechanics
Similarity and Dimensional Methods in Mechanics

Author: L. I. Sedov

Publisher: Academic Press

Published: 2014-05-12

Total Pages: 386

ISBN-13: 1483225917

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Similarity and Dimensional Methods in Mechanics provides a complete development of the basic concepts of dimensional analysis and similarity methods, illustrated by applications to a wide variety of problems in mechanics. This book shows the power of dimensional and similarity methods in solving problems in the theory of explosions and astrophysics. Organized into five chapters, this book begins with an overview of the fundamental ideas behind similarity and dimensional methods. This text then provides a series of examples of application of the methods. Other chapters consider the use of similarity and dimensional analysis in developing fundamental contributions to viscous fluid theory. This book discusses as well the various theories of isotropic turbulence. The final chapter deals with the applications to the theory of the luminosity and internal structure of stars. This book is a valuable resource for students who wish to learn dimensional analysis and similarity methods for the first time. Readers who are connected with the many aspects of gas dynamics, including space technology, astrophysics, and atomic energy will also find this book useful.

Dimensional Analysis and Similarity in Fluid Mechanics
Dimensional Analysis and Similarity in Fluid Mechanics

Author: Nord-Eddine Sad Chemloul

Publisher: John Wiley & Sons

Published: 2020-11-03

Total Pages: 240

ISBN-13: 1119788021

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Dimensional analysis is the basis for the determination of laws that allow the experimental results obtained on a model to be transposed to the fluid system at full scale (a prototype). 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. It deals with the homogeneity of the equations and the conversion between the systems of units SI and CGS, and presents the dimensional analysis approach, before addressing the similarity of flows. Dimensional Analysis and Similarity in Fluid Mechanics proposes a scale model and presents numerous exercises combining these two methods. It is accessible to students from their first year of a bachelorÂs degree.

Theory of Differential Equations in Engineering and Mechanics
Theory of Differential Equations in Engineering and Mechanics

Author: Kam Tim Chau

Publisher: CRC Press

Published: 2017-09-22

Total Pages: 1001

ISBN-13: 1498767796

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This gives comprehensive coverage of the essential differential equations students they are likely to encounter in solving engineering and mechanics problems across the field -- alongside a more advance volume on applications. This first volume covers a very broad range of theories related to solving differential equations, mathematical preliminaries, ODE (n-th order and system of 1st order ODE in matrix form), PDE (1st order, 2nd, and higher order including wave, diffusion, potential, biharmonic equations and more). Plus more advanced topics such as Green’s function method, integral and integro-differential equations, asymptotic expansion and perturbation, calculus of variations, variational and related methods, finite difference and numerical methods. All readers who are concerned with and interested in engineering mechanics problems, climate change, and nanotechnology will find topics covered in these books providing valuable information and mathematics background for their multi-disciplinary research and education.

IUTAM-IASS Symposium on Deployable Structures: Theory and Applications
IUTAM-IASS Symposium on Deployable Structures: Theory and Applications

Author: Sergio Pellegrino

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 503

ISBN-13: 9401595143

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This collection presents 49 contributions by engineers, architects, biologists, and applied mathematicians interested in deployable structures. Aerospace structures are currently at the leading edge, and this is reflected by a larger number of contributions covering the full spectrum of concepts, simulations, testing, and working systems.

Numerical Modeling in Micromechanics via Particle Methods - 2004
Numerical Modeling in Micromechanics via Particle Methods - 2004

Author: Y. Shimizu

Publisher: CRC Press

Published: 2004-09-15

Total Pages: 448

ISBN-13: 1482283972

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The variety of applications of PFC has continued to increase in the ten years since the first release of these programs. This volume contains a collection of fifty-two papers selected for presentation at the 2nd PFC Symposium, held 27-29 October 2004, in Kyoto, Japan. These contributions cover a wide range of engineering applications and theoretica

Similarity and Dimensional Methods in Mechanics
Similarity and Dimensional Methods in Mechanics

Author: L. I. Sedov

Publisher: CRC Press

Published: 2018-05-04

Total Pages: 498

ISBN-13: 1351416561

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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.

Optical Remote Sensing of Ocean Hydrodynamics
Optical Remote Sensing of Ocean Hydrodynamics

Author: Victor Raizer

Publisher: CRC Press

Published: 2019-03-04

Total Pages: 313

ISBN-13: 1351119176

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Optical Remote Sensing is one of the main technologies used in sea surface monitoring. Optical Remote Sensing of Ocean Hydrodynamics investigates and demonstrates capabilities of optical remote sensing technology for enhanced observations and detection of ocean environments. It provides extensive knowledge of physical principles and capabilities of optical observations of the oceans at high spatial resolution, 1-4m, and on the observations of surface wave hydrodynamic processes. It also describes the implementation of spectral-statistical and fusion algorithms for analyses of multispectral optical databases and establishes physics-based criteria for detection of complex wave phenomena and hydrodynamic disturbances including assessment and management of optical databases. This book explains the physical principles of high-resolution optical imagery of the ocean surface, discusses for the first time the capabilities of observing hydrodynamic processes and events, and emphasizes the integration of optical measurements and enhanced data analysis. It also covers both the assessment and the interpretation of dynamic multispectral optical databases and includes applications for advanced studies and nonacoustic detection. This book is an invaluable resource for researches, industry professionals, engineers, and students working on cross-disciplinary problems in ocean hydrodynamics, optical remote sensing of the ocean and sea surface remote sensing. Readers in the fields of geosciences and remote sensing, applied physics, oceanography, satellite observation technology, and optical engineering will learn the theory and practice of optical interactions with the ocean.