Dimensional Analysis And Self Similarity Methods For Engineers And Scientists
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Dimensional Analysis And Self Similarity Methods For Engineers And Scientists
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Author : Bahman Zohuri
language : en
Publisher:
Release Date : 2015
Dimensional Analysis And Self Similarity Methods For Engineers And Scientists written by Bahman Zohuri and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.
· Provides innovative techniques for solving complex nonlinear partial differential equations, previously only available to scientists involved in classified government funded projects. · Goes beyond the traditional Pi (Buckingham) Theorem method to apply dimensional analysis to gas dynamics and thermal hydraulics problems where both laminar and turbulent fluids come into play · Includes specific examples demonstrating how dimensional analysis can shed light on applications from shock wave impact prediction to plasma confinement. · Presents a unique approach to similarity methods by discussing Chaos, Fractals and Arcadia, in addition to the more common Self-Similarity and Fractals Techniques This ground-breaking reference provides an overview of key concepts in dimensional analysis and the scientific approach of similarity methods, including a uniquely robust discussion on self-similarity solutions of the First and Second kinds. The coverage pushes well beyond traditional applications in fluid mechanics and gas dynamics to demonstrate how powerful self-similarity can be in solving complex problems across many diverse fields, using nonlinear Partial Differential Equations (PDEs) by reducing them to Ordinary Differential Equations (ODEs) with a simple traditional analytical solution approach. Of particular interest is the book's coverage of dimensional analysis and self-similarity methods in nuclear and energy engineering from Heat Transfer and Thermal Hydraulic points of view. Numerous practical examples of dimensional analysis problems are presented throughout each chapter, with additional problems presented in each appendix, allowing readers to link the book's theoretical explanations and step-by-step mathematical solutions to practical implementations.
Dimensional Analysis And Self Similarity Methods For Engineers And Scientists
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Author : Bahman Zohuri
language : en
Publisher: Springer
Release Date : 2015-04-15
Dimensional Analysis And Self Similarity Methods For Engineers And Scientists written by Bahman Zohuri and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-15 with Technology & Engineering categories.
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.
Dimensional Analysis Beyond The Pi Theorem
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Author : Bahman Zohuri
language : en
Publisher: Springer
Release Date : 2016-11-02
Dimensional Analysis Beyond The Pi Theorem written by Bahman Zohuri and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-02 with Technology & Engineering categories.
Dimensional Analysis and Physical Similarity are well understood subjects, and the general concepts of dynamical similarity are explained in this book. Our exposition is essentially different from those available in the literature, although it follows the general ideas known as Pi Theorem. There are many excellent books that one can refer to; however, dimensional analysis goes beyond Pi theorem, which is also known as Buckingham’s Pi Theorem. Many techniques via self-similar solutions can bound solutions to problems that seem intractable. A time-developing phenomenon is called self-similar if the spatial distributions of its properties at different points in time can be obtained from one another by a similarity transformation, and identifying one of the independent variables as time. However, this is where Dimensional Analysis goes beyond Pi Theorem into self-similarity, which has represented progress for researchers. In recent years there has been a surge of interest in self-similar solutions of the First and Second kind. Such solutions are not newly discovered; they have been identified and named by Zel’dovich, a famous Russian Mathematician in 1956. They have been used in the context of a variety of problems, such as shock waves in gas dynamics, and filtration through elasto-plastic materials. Self-Similarity has simplified computations and the representation of the properties of phenomena under investigation. It handles experimental data, reduces what would be a random cloud of empirical points to lie on a single curve or surface, and constructs procedures that are self-similar. Variables can be specifically chosen for the calculations.
Similarity And Modeling In Science And Engineering
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Author : Josef Kuneš
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-04-07
Similarity And Modeling In Science And Engineering written by Josef Kuneš and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-07 with Mathematics categories.
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 First Course In Dimensional Analysis
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Author : Juan G. Santiago
language : en
Publisher: MIT Press
Release Date : 2019-10-22
A First Course In Dimensional Analysis written by Juan G. Santiago and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-22 with Technology & Engineering categories.
An introduction to dimensional analysis, a method of scientific analysis used to investigate and simplify complex physical phenomena, demonstrated through a series of engaging examples. This book offers an introduction to dimensional analysis, a powerful method of scientific analysis used to investigate and simplify complex physical phenomena. The method enables bold approximations and the generation of testable hypotheses. The book explains these analyses through a series of entertaining applications; students will learn to analyze, for example, the limits of world-record weight lifters, the distance an electric submarine can travel, how an upside-down pendulum is similar to a running velociraptor, and the number of Olympic rowers required to double boat speed. The book introduces the approach through easy-to-follow, step-by-step methods that show how to identify the essential variables describing a complex problem; explore the dimensions of the problem and recast it to reduce complexity; leverage physical insights and experimental observations to further reduce complexity; form testable scientific hypotheses; combine experiments and analysis to solve a problem; and collapse and present experimental measurements in a compact form. Each chapter ends with a summary and problems for students to solve. Taken together, the analyses and examples demonstrate the value of dimensional analysis and provide guidance on how to combine and enhance dimensional analysis with physical insights. The book can be used by undergraduate students in physics, engineering, chemistry, biology, sports science, and astronomy.
Introduction To Convective Heat Transfer
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Author : Nevzat Onur
language : en
Publisher: John Wiley & Sons
Release Date : 2023-04-18
Introduction To Convective Heat Transfer written by Nevzat Onur and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-18 with Technology & Engineering categories.
INTRODUCTION TO CONVECTIVE HEAT TRANSFER A highly practical intro to solving real-world convective heat transfer problems with MATLAB® and MAPLE In Introduction to Convective Heat Transfer, accomplished professor and mechanical engineer Nevzat Onur delivers an insightful exploration of the physical mechanisms of convective heat transfer and an accessible treatment of how to build mathematical models of these physical processes. Providing a new perspective on convective heat transfer, the book is comprised of twelve chapters, all of which contain numerous practical examples. The book emphasizes foundational concepts and is integrated with explanations of computational programs like MATLAB® and MAPLE to offer students a practical outlet for the concepts discussed within. The focus throughout is on practical, physical analysis rather than mathematical detail, which helps students learn to use the provided computational tools quickly and accurately. In addition to a solutions manual for instructors and the aforementioned MAPLE and MATLAB® files, Introduction to Convective Heat Transfer includes: A thorough introduction to the foundations of convective heat transfer, including coordinate systems, and continuum and thermodynamic equilibrium concepts Practical explorations of the fundamental equations of laminar convective heat transfer, including integral formulation and differential formulation Comprehensive discussions of the equations of incompressible external laminar boundary layers, including laminar flow forced convection and the thermal boundary layer concept In-depth examinations of dimensional analysis, including the dimensions of physical quantities, dimensional homogeneity, and dimensionless numbers Ideal for first-year graduates in mechanical, aerospace, and chemical engineering, Introduction to Convective Heat Transfer is also an indispensable resource for practicing engineers in academia and industry in the mechanical, aerospace, and chemical engineering fields.
Inertial Confinement Fusion Driven Thermonuclear Energy
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Author : Bahman Zohuri
language : en
Publisher: Springer
Release Date : 2017-01-26
Inertial Confinement Fusion Driven Thermonuclear Energy written by Bahman Zohuri and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-26 with Technology & Engineering categories.
This book takes a holistic approach to plasma physics and controlled fusion via Inertial Confinement Fusion (ICF) techniques, establishing a new standard for clean nuclear power generation. Inertial Confinement Fusion techniques to enable laser-driven fusion have long been confined to the black-box of government classification due to related research on thermonuclear weapons applications. This book is therefore the first of its kind to explain the physics, mathematics and methods behind the implosion of the Nd-Glass tiny balloon (pellet), using reliable and thoroughly referenced data sources. The associated computer code and numerical analysis are included in the book. No prior knowledge of Laser Driven Fusion and no more than basic background in plasma physics is required.
Thermal Effects Of High Power Laser Energy On Materials
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Author : Bahman Zohuri
language : en
Publisher: Springer Nature
Release Date : 2021-01-05
Thermal Effects Of High Power Laser Energy On Materials written by Bahman Zohuri and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-05 with Technology & Engineering categories.
This book offers a tutorial on the response of materials to lasers, with an emphasis on simple, intuitive models with analytical and mathematical solutions, using techniques such as Laplace Transformation to solve most complex heat conduction equations. It examines the relationship between existing thermal parameters of simple metals and looks at the characteristics of materials and their properties in order to investigate and perform theoretical analysis from a heat conduction perspective mathematically. Topics discussed include optical reflectivity of metals at infrared (IR) wavelengths, laser-induced heat flow in materials, the effects of melting and vaporization, the impulse generated in materials by pulsed radiation, and the influence of the absorption in the blow-off region in irradiated material. Written for engineers, scientists, and graduate-level engineering and physics students, Thermal Effects of High Power Laser Energy on Materials provides an in-depth look at high energy laser technology and its potential industrial and commercial applications in such areas as precision cutting, LIDAR and LADAR, and communications. The knowledge gained from this allows you to apply spaced-based relay mirror in order to compensate laser beam divergence back to its original coherency by preventing further thermal blooming that takes place during laser beam propagation through the atmosphere. Examines the state-of-the-art in currently available high energy laser technologies; Includes computer codes that deal with the response of materials to laser radiation; Provides detailed mathematical solutions of thermal response to laser radiation.
Knowledge Is Power In Four Dimensions Models To Forecast Future Paradigm
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Author : Bahman Zohuri
language : en
Publisher: Academic Press
Release Date : 2022-07-14
Knowledge Is Power In Four Dimensions Models To Forecast Future Paradigm written by Bahman Zohuri and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-14 with Science categories.
Knowledge is Power in Four Dimensions: Models to Forecast Future Paradigms, Forecasting Energy for Tomorrow's World with Mathematical Modeling and Python Programming Driven Artificial Intelligence delivers knowledge on key infrastructure topics in both AI technology and energy. Sections lay the groundwork for tomorrow's computing functionality, starting with how to build a Business Resilience System (BRS), data warehousing, data management, and fuzzy logic. Subsequent chapters dive into the impact of energy on economic development and the environment and mathematical modeling, including energy forecasting and engineering statistics. Energy examples are included for application and learning opportunities. A final section deliver the most advanced content on artificial intelligence with the integration of machine learning and deep learning as a tool to forecast and make energy predictions. The reference covers many introductory programming tools, such as Python, Scikit, TensorFlow and Kera. - Helps users gain fundamental knowledge in technology infrastructure, including AI, machine learning and fuzzy logic - Compartmentalizes data knowledge into near-term and long-term forecasting models, with examples involving both renewable and non-renewable energy outcomes - Advances climate resiliency and helps readers build a business resiliency system for assets
Aidaa Issm9 Proceedings Of The 9th International Symposium On Scale Modeling
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Author : Sergio De Rosa
language : en
Publisher: Persiani Editore
Release Date : 2022
Aidaa Issm9 Proceedings Of The 9th International Symposium On Scale Modeling written by Sergio De Rosa and has been published by Persiani Editore this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with Technology & Engineering categories.
Proceedings of the 9th International Symposium on Scale Modeling This volume contains the works presented at the ninth edition of the International Symposium on Scale Modeling, ISSM9. The symposium brought together 53 scientists from 8 different countries and 3 continents, from both Academia and Research Centers; they participated virtually or in person to present the latest developments and trends in scale application and progress in several engineering fields (mostly in continuum mechanics and fluid dynamics). During the symposium there were 4 keynote talks, the related abstracts are here enclosed. The contents of the talks are about the state-of-the-art of similitude theory and scale modeling and they are useful for any researcher interested in similar topics.