Similitude and Approximation Theory

Similitude and Approximation Theory PDF Author: S.J. Kline
Publisher: Springer Science & Business Media
ISBN: 3642616380
Category : Technology & Engineering
Languages : en
Pages : 246

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Book Description
There are a number of reasons for producing this edition of Simili tude and Approximation Theory. The methodologies developed remain important in many areas of technical work. No other equivalent work has appeared in the two decades since the publication of the first edition. The materials still provide an important increase in understanding for first-year graduate students in engineering and for workers in research and development at an equivalent level. In addition, consulting experiences in a number of industries indi cate that many technical workers in research and development lack knowledge of the methodologies given in this work. This lack makes the work of planning and controlling computations and experiments less efficient in many cases. It also implies that the coordinated grasp of the phenomena (which is so critical to effective research and develop ment work) will be less than it might be. The materials covered in this work focus on the relationship between mathematical models and the physical reality such models are intended v vi Preface to the Springer Edition to portray. Understanding these relationships remains a key factor in simplifying and generalizing correlations, predictions, test programs, and computations. Moreover, as many teachers of engineering know, this kind of understanding is typically harder for students to develop than an understanding of either the mathematics or the physics alone.

Similitude and Approximation Theory

Similitude and Approximation Theory PDF Author: S.J. Kline
Publisher: Springer Science & Business Media
ISBN: 3642616380
Category : Technology & Engineering
Languages : en
Pages : 246

Get Book Here

Book Description
There are a number of reasons for producing this edition of Simili tude and Approximation Theory. The methodologies developed remain important in many areas of technical work. No other equivalent work has appeared in the two decades since the publication of the first edition. The materials still provide an important increase in understanding for first-year graduate students in engineering and for workers in research and development at an equivalent level. In addition, consulting experiences in a number of industries indi cate that many technical workers in research and development lack knowledge of the methodologies given in this work. This lack makes the work of planning and controlling computations and experiments less efficient in many cases. It also implies that the coordinated grasp of the phenomena (which is so critical to effective research and develop ment work) will be less than it might be. The materials covered in this work focus on the relationship between mathematical models and the physical reality such models are intended v vi Preface to the Springer Edition to portray. Understanding these relationships remains a key factor in simplifying and generalizing correlations, predictions, test programs, and computations. Moreover, as many teachers of engineering know, this kind of understanding is typically harder for students to develop than an understanding of either the mathematics or the physics alone.

Similitude and Approximation Theory

Similitude and Approximation Theory PDF Author: Stephen Jay Kline
Publisher: Springer
ISBN:
Category : Education
Languages : en
Pages : 264

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Book Description


Similarity and Modeling in Science and Engineering

Similarity and Modeling in Science and Engineering PDF Author: Josef Kuneš
Publisher: Springer Science & Business Media
ISBN: 1907343776
Category : Mathematics
Languages : en
Pages : 451

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Book Description
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.

Similarity Methods in Engineering Dynamics

Similarity Methods in Engineering Dynamics PDF Author: P.S. Westine
Publisher: Elsevier
ISBN: 0444598138
Category : Technology & Engineering
Languages : en
Pages : 397

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Book Description
Here is the second revised and updated edition of probably the most practical sourcebook on similarity methods and modeling techniques available. Written by leading authorities who incorporate many of the latest advances in the field, this new work maps out techniques for modeling as well as instrumentation and data analysis for an extremely wide array of problems in engineering dynamics. This practical reference uses experimental test data on various engineering problems demonstrating exactly how and why these similarity methods work. The problems involve spread of oil slicks, explosive cratering, car crashes, space vehicle heat exchange, explosive forming, and more. The spectrum of topics covered and number of examples are far greater than in other texts. Of particular importance are the dissimilar material modeling techniques which bring new versatility and freedom to the modeler in structural dynamics. The book also contains a clear, in-depth discussion of the theory underlying modeling and includes alternate methods for developing model laws. The work will undoubtedly prove invaluable to every professional involved in testing or design of dynamic experiments.

Simulation and Similarity

Simulation and Similarity PDF Author: Michael Weisberg
Publisher: OUP USA
ISBN: 0199933669
Category : Science
Languages : en
Pages : 211

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Book Description
This book is an account of modeling and idealization in modern scientific practice, focusing on concrete, mathematical, and computational models. The main topics of this book are the nature of models, the practice of modeling, and the nature of the relationship between models and real-world phenomena. In order to elucidate the model/world relationship, Weisberg develops a novel account of similarity called weighted feature matching.

Transport Processes in Chemically Reacting Flow Systems

Transport Processes in Chemically Reacting Flow Systems PDF Author: Daniel E. Rosner
Publisher: Butterworth-Heinemann
ISBN: 1483162680
Category : Technology & Engineering
Languages : en
Pages : 571

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Book Description
Transport Processes in Chemically Reacting Flow Systems discusses the role, in chemically reacting flow systems, of transport processes—particularly the transport of momentum, energy, and (chemical species) mass in fluids (gases and liquids). The principles developed and often illustrated here for combustion systems are important not only for the rational design and development of engineering equipment (e.g., chemical reactors, heat exchangers, mass exchangers) but also for scientific research involving coupled transport processes and chemical reaction in flow systems. The book begins with an introduction to transport processes in chemically reactive systems. Separate chapters cover momentum, energy, and mass transport. These chapters develop, state, and exploit useful quantitative ""analogies"" between these transport phenomena, including interrelationships that remain valid even in the presence of homogeneous or heterogeneous chemical reactions. A separate chapter covers the use of transport theory in the systematization and generalization of experimental data on chemically reacting systems. The principles and methods discussed are then applied to the preliminary design of a heat exchanger for extracting power from the products of combustion in a stationary (fossil-fuel-fired) power plant. The book has been written in such a way as to be accessible to students and practicing scientists whose background has until now been confined to physical chemistry, classical physics, and/or applied mathematics.

Munson, Young and Okiishi's Fundamentals of Fluid Mechanics

Munson, Young and Okiishi's Fundamentals of Fluid Mechanics PDF Author: Andrew L. Gerhart
Publisher: John Wiley & Sons
ISBN: 1119597307
Category : Science
Languages : en
Pages : 800

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Book Description
Fundamentals of Fluid Mechanics, 9th Edition offers comprehensive topical coverage, with varied examples and problems, application of the visual component of fluid mechanics, and a strong focus on effective learning. The authors have designed their presentation to enable the gradual development of reader confidence in problem solving. Each important concept is introduced in easy-to-understand terms before more complicated examples are discussed. The 9th Edition includes new coverage of finite control volume analysis and compressible flow, as well as a selection of new problems. Continuing this important work’s tradition of extensive real-world applications, each chapter includes The Wide World of Fluids case study boxes in each chapter. In addition, there are a wide variety of videos designed to enhance comprehension, support visualization skill building and engage students more deeply with the material and concepts.

Scale Models in Engineering

Scale Models in Engineering PDF Author: Richard I. Emori
Publisher: Elsevier
ISBN: 1483138607
Category : Technology & Engineering
Languages : en
Pages : 310

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Book Description
Scale Models in Engineering: Fundamentals and Applications provides a simple and fundamental method of designing scale model experiments. This book is divided into two parts. Part I explores the background of scale modeling and explains the design procedure of scale models and experiments. The relaxation method commonly applied to conflicting requirements in model design is also analyzed. Part II is devoted to case studies selected from modern fields of model application. These studies have been interpreted uniformly. This publication is designed not only as a college textbook for senior and graduate levels but also as a working reference for practicing engineers.

Young, Munson and Okiishi's A Brief Introduction to Fluid Mechanics

Young, Munson and Okiishi's A Brief Introduction to Fluid Mechanics PDF Author: John I. Hochstein
Publisher: John Wiley & Sons
ISBN: 1119611717
Category : Technology & Engineering
Languages : en
Pages : 608

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Book Description
This book is designed to cover the standard topics in a basic fluid mechanics course in a streamlined manner that meets the learning needs of students better than the dense, encyclopedic format of traditional texts. This approach helps students connect math and theory to the physical world and apply these connections to solving problems. The text lucidly presents basic analysis techniques and addresses practical concerns and applications, such as pipe flow, open-channel flow, flow measurement, and drag and lift. It offers a strong visual approach with photos, illustrations, and videos included in the text, examples, and homework problems to emphasize the practical application of fluid mechanics principles.

Theory of Heat Transfer with Forced Convection Film Flows

Theory of Heat Transfer with Forced Convection Film Flows PDF Author: De-Yi Shang
Publisher: Springer Science & Business Media
ISBN: 3642125816
Category : Science
Languages : en
Pages : 350

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Book Description
Developing a new treatment of ‘Free Convection Film Flows and Heat Transfer’ began in Shang’s first monograph and is continued in this monograph. The current book displays the recent developments of laminar forced convection and forced film condensation. It is aimed at revealing the true features of heat and mass transfer with forced convection film flows to model the deposition of thin layers. The novel mathematical similarity theory model is developed to simulate temperature- and concentration- dependent physical processes. The following topics are covered in this book: 1. Mathematical methods - advanced similarity analysis method to replace the traditional Falkner-Skan type transformation - a novel system of similarity analysis and transformation models to overcome the difficult issues of forced convection and forced film flows - heat and mass transfer equations based on the advanced similarity analysis models and equations formulated with rigorous key numerical solutions 2. Modeling the influence of physical factors - effect of thermal dissipation on forced convection heat transfer - a system of models of temperature and concentration-dependent variable physical properties based on the advanced temperature-parameter model and rigorous analysis model on vapor-gas mixture physical properties for the rigorous and convenient description of the governing differential equations - an available approach to satisfy interfacial matching conditions for rigorous and reliable solutions - a system of numerical results on velocity, temperature and concentration fields, as well as, key solutions on heat and mass transfer - the effect of non-condensable gas on heat and mass transfer for forced film condensation. This way it is realized to conveniently and reliably predict heat and mass transfer for convection and film flows and to resolve a series of current difficult issues of heat and mass transfer with forced convection film flows. Professionals in this fields as well as graduate students will find this a valuable book for their work.