applied dimensional analysis and modeling

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Applied Dimensional Analysis And Modeling

Author : Thomas Szirtes
ISBN : 0080555454
Genre : Technology & Engineering
File Size : 52. 61 MB
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Applied Dimensional Analysis and Modeling provides the full mathematical background and step-by-step procedures for employing dimensional analyses, along with a wide range of applications to problems in engineering and applied science, such as fluid dynamics, heat flow, electromagnetics, astronomy and economics. This new edition offers additional worked-out examples in mechanics, physics, geometry, hydrodynamics, and biometry. Covers 4 essential aspects and applications: principal characteristics of dimensional systems applications of dimensional techniques in engineering, mathematics and geometry applications in biosciences, biometry and economics applications in astronomy and physics Offers more than 250 worked-out examples and problems with solutions Provides detailed descriptions of techniques of both dimensional analysis and dimensional modeling

Dimensional Analysis

Author : Jonathan Worstell
ISBN : 9780128012550
Genre : Technology & Engineering
File Size : 79. 95 MB
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Practical Guides in Chemical Engineering are a cluster of short texts that each provides a focused introductory view on a single subject. The full library spans the main topics in the chemical process industries that engineering professionals require a basic understanding of. They are ‘pocket publications’ that the professional engineer can easily carry with them or access electronically while working. Each text is highly practical and applied, and presents first principles for engineers who need to get up to speed in a new area fast. The focused facts provided in each guide will help you converse with experts in the field, attempt your own initial troubleshooting, check calculations, and solve rudimentary problems. Dimensional Analysis provides the foundation for similitude and for up and downscaling. Aeronautical, Civil, and Mechanical Engineering have used Dimensional Analysis profitably for over one hundred years. Chemical Engineering has made limited use of it due to the complexity of chemical processes. However, Chemical Engineering can now employ Dimensional Analysis widely due to the free-for-use matrix calculators now available on the Internet. This book shows how to apply matrices to Dimensional Analysis. Practical, short, concise information on the basics will help you get an answer or teach yourself a new topic quickly Supported by industry examples to help you solve a real world problem Single subject volumes provide key facts for professionals

Similarity And Modeling In Science And Engineering

Author : Josef Kuneš
ISBN : 9781907343773
Genre : Mathematics
File Size : 30. 67 MB
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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.

Scaling Analysis In Modeling Transport And Reaction Processes

Author : William B. Krantz
ISBN : 0470121920
Genre : Technology & Engineering
File Size : 23. 47 MB
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This book is unique as the first effort to expound on the subject of systematic scaling analysis. Not written for a specific discipline, the book targets any reader interested in transport phenomena and reaction processes. The book is logically divided into chapters on the use of systematic scaling analysis in fluid dynamics, heat transfer, mass transfer, and reaction processes. An integrating chapter is included that considers more complex problems involving combined transport phenomena. Each chapter includes several problems that are explained in considerable detail. These are followed by several worked examples for which the general outline for the scaling is given. Each chapter also includes many practice problems. This book is based on recognizing the value of systematic scaling analysis as a pedagogical method for teaching transport and reaction processes and as a research tool for developing and solving models and in designing experiments. Thus, the book can serve as both a textbook and a reference book.

Dimensional Analysis

Author : Qing-Ming Tan
ISBN : 3642192343
Genre : Technology & Engineering
File Size : 74. 48 MB
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Dimensional analysis is an essential scientific method and a powerful tool for solving problems in physics and engineering. This book starts by introducing the Pi Theorem, which is the theoretical foundation of dimensional analysis. It also provides ample and detailed examples of how dimensional analysis is applied to solving problems in various branches of mechanics. The book covers the extensive findings on explosion mechanics and impact dynamics contributed by the author’s research group over the past forty years at the Chinese Academy of Sciences. The book is intended for research scientists and engineers working in the fields of physics and engineering, as well as graduate students and advanced undergraduates of the related fields. Qing-Ming Tan is a former Professor at the Institute of Mechanics, the Chinese Academy of Sciences, China.

Applied Flow And Solute Transport Modeling In Aquifers

Author : Vedat Batu
ISBN : 9781420037470
Genre : Technology & Engineering
File Size : 37. 60 MB
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Over recent years, important contributions on the topic of solving various aquifer problems have been presented in numerous papers and reports. The scattered and wide-ranging nature of this information has made finding solutions and best practices difficult. Comprehensive and self-contained, Applied Flow and Solute Transport Modeling in Aquifers compiles the scattered literature on the topic into a single-source reference of the most up-to-date information in the field. Based on Dr. Batu's 20 years of practical experience tackling aquifer problems in a myriad of settings, the book addresses essentially all currently applied aquifer flow and contaminant transport solutions, combines theory with practical applications, covers both analytical and numerical solutions, and includes solutions to real world contaminant transport modeling scenarios. Batu approaches the subject from the practicing consultant's point of view and elucidates the difficulties real world professionals have faced in solving aquifer flow and contamination problems. The author simplifies the necessary theoretical background as much as possible and provides all derivational details of the theoretical background as worked examples. He uses this method to explore how the derivations were generated for those who need to know while allowing others to easily skip them and still benefit and learn from the practical applications of the mathematical approaches. Containing 51 tables and 323 figures, the book covers both the breadth and the depth of currently applied aquifer flow and contaminant transport modeling solutions.

Continuum Methods Of Physical Modeling

Author : Kolumban Hutter
ISBN : 3540206191
Genre : Science
File Size : 69. 51 MB
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The book unifies classical continuum mechanics and turbulence modeling, i.e. the same fundamental concepts are used to derive model equations for material behaviour and turbulence closure and complements these with methods of dimensional analysis. The intention is to equip the reader with the ability to understand the complex nonlinear modeling in material behaviour and turbulence closure as well as to derive or invent his own models. Examples are mostly taken from environmental physics and geophysics.

Scaling Self Similarity And Intermediate Asymptotics

Author : Grigory Isaakovich Barenblatt
ISBN : 0521435226
Genre : Mathematics
File Size : 82. 29 MB
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Scaling (power-type) laws reveal the fundamental property of the phenomena--self similarity. Self-similar (scaling) phenomena repeat themselves in time and/or space. The property of self-similarity simplifies substantially the mathematical modeling of phenomena and its analysis--experimental, analytical and computational. The book begins from a non-traditional exposition of dimensional analysis, physical similarity theory and general theory of scaling phenomena. Classical examples of scaling phenomena are presented. It is demonstrated that scaling comes on a stage when the influence of fine details of initial and/or boundary conditions disappeared but the system is still far from ultimate equilibrium state (intermediate asymptotics). It is explained why the dimensional analysis as a rule is insufficient for establishing self-similarity and constructing scaling variables. Important examples of scaling phenomena for which the dimensional analysis is insufficient (self-similarities of the second kind) are presented and discussed. A close connection of intermediate asymptotics and self-similarities of the second kind with a fundamental concept of theoretical physics, the renormalization group, is explained and discussed. Numerous examples from various fields--from theoretical biology to fracture mechanics, turbulence, flame propagation, flow in porous strata, atmospheric and oceanic phenomena are presented for which the ideas of scaling, intermediate asymptotics, self-similarity and renormalization group were of decisive value in modeling.

Model Analysis Of Structures

Author : T.P. Ganesan
ISBN : 8173711232
Genre : Structural analysis (Engineering)
File Size : 28. 27 MB
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The purpose of this book is to introduce the basic principles and techniques of model studies, which will prove very useful for analysis design and review of structural design, especially of those structures which are not amenable to treatment by the usually simpler and faster theoretical methods.

Environmental Hydraulics Two Volume Set

Author : George C. Christodoulou
ISBN : 9780203841235
Genre : Technology & Engineering
File Size : 37. 11 MB
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Over the last two decades environmental hydraulics as an academic discipline has expanded considerably, caused by growing concerns over water environmental issues associated with pollution and water balance problems on regional and global scale. These issues require a thorough understanding of processes related to environmental flows and transport phenomena, and the development of new approaches for practical solutions. Environmental Hydraulics includes about 200 contributions from 35 countries presented at the 6th International Symposium on Environmental Hydraulics (Athens, Greece, 23-25 June 2010). They cover the state-of-the-art on a broad range of topics, including: fundamentals aspects of environmental fluid mechanics environmental hydraulics problems of inland, coastal and ground waters interfacial processes; computational, experimental and field measurement techniques ecological aspects, and effects of global climate change. Environmental Hydraulics will be of interest to researchers, civil/environmental engineers, and professional engineers dealing with the design and operation of environmental hydraulic works such as wastewater treatment and disposal, river and marine constructions, and to academics and graduate students in related fields.

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