applied dimensional analysis and modeling

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Applied Dimensional Analysis And Modeling

Author : Thomas Szirtes
ISBN : 0080555454
Genre : Technology & Engineering
File Size : 35. 25 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

Application Of Dimensional Analysis In Systems Modeling And Control Design

Author : Pedro Balaguer
ISBN : 9781849196215
Genre : Technology & Engineering
File Size : 24. 66 MB
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Dimensional analysis is an engineering tool that is widely applied to numerous engineering problems, but has only recently been applied to control theory and problems such as identification and model reduction, robust control, adaptive control, and PID control. Application of Dimensional Analysis in Systems Modeling and Control Design provides an introduction to the fundamentals of dimensional analysis for control engineers, and shows how they can exploit the benefits of the technique to theoretical and practical control problems.

Application Of Dimensional Analysis In Economics

Author : W.M. Grudzewski
ISBN : 9781614992806
Genre : Business & Economics
File Size : 64. 22 MB
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The modeling of economic phenomena and processes, in terms of their static and dynamic features and with regard to the characteristics of their course, is a major methodological trend in studies of the nature, properties and functioning of contemporary management systems. Models describing management systems must be of a multi-aspect nature, entailing aspects such as technical, economic and sociological factors on the one hand, and forecasting, planning, leading, controlling etc., on the other. Developing a method for incorporating such diverse data into a system of analysis is, needless to say, a complex process. Dimensional analysis is a tool which might be useful in this process, but one which, up to now, has been little explored in the economic sciences. This book explores the application of dimensional analysis in the field of economics. It has been structured in a way which corresponds to the formulation of economic quantities, and is divided into five sections: measuring of economic quantities, modeling of economic processes, principles of dimensional analysis, building of quantified dimensional models, and experiment and practical verification.

Dimensional Analysis

Author : Jonathan Worstell
ISBN : 9780128012550
Genre : Technology & Engineering
File Size : 65. 85 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

Dimensional Analysis Of Food Processes

Author : Guillaume Delaplace
ISBN : 9780081004876
Genre : Technology & Engineering
File Size : 60. 44 MB
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This book deals with the modeling of food processing using dimensional analysis. When coupled to experiments and to the theory of similarity, dimensional analysis is indeed a generic, powerful and rigorous tool making it possible to understand and model complex processes for design, scale-up and /or optimization purposes. This book presents the theoretical basis of dimensional analysis with a step by step detail of the framework for applying dimensional analysis, with chapters respectively dedicated to the extension of dimensional analysis to changing physical properties and to the use of dimensional analysis as a tool for scaling-up processes. It includes several original examples issued from the research works of the authors in the food engineering field, illustrating the conceptual approaches presented and strengthen the teaching of all. Discusses popular dimensional analysis for knowledge and scaling-up tools with detailed case studies Emphasises the processes dealing with complex materials of a multiphase nature Introduces the concept of chemical or material similarity and a framework for analysis of the functional forms of the propoerty

Finite Elemente Methoden

Author : Klaus-Jürgen Bathe
ISBN : 3540668063
Genre : Technology & Engineering
File Size : 69. 45 MB
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Dieses Lehr- und Handbuch behandelt sowohl die elementaren Konzepte als auch die fortgeschrittenen und zukunftsweisenden linearen und nichtlinearen FE-Methoden in Statik, Dynamik, Festkörper- und Fluidmechanik. Es wird sowohl der physikalische als auch der mathematische Hintergrund der Prozeduren ausführlich und verständlich beschrieben. Das Werk enthält eine Vielzahl von ausgearbeiteten Beispielen, Rechnerübungen und Programmlisten. Als Übersetzung eines erfolgreichen amerikanischen Lehrbuchs hat es sich in zwei Auflagen auch bei den deutschsprachigen Ingenieuren etabliert. Die umfangreichen Änderungen gegenüber der Vorauflage innerhalb aller Kapitel - vor allem aber der fortgeschrittenen - spiegeln die rasche Entwicklung innerhalb des letzten Jahrzehnts auf diesem Gebiet wieder. TOC:Eine Einführung in den Gebrauch von Finite-Elemente-Verfahren.-Vektoren, Matrizen und Tensoren.-Einige Grundbegriffe ingenieurwissenschaftlicher Berechnungen.-Formulierung der Methode der finiten Elemente.-Formulierung und Berechnung von isoparametrischen Finite-Elemente-Matrizen.-Nichtlineare Finite-Elemente-Berechnungen in der Festkörper- und Strukturmechanik.-Finite-Elemente-Berechnungen von Wärmeübertragungs- und Feldproblemen.-Lösung von Gleichgewichtsbeziehungen in statischen Berechnungen.-Lösung von Bewegungsgleichungen in kinetischen Berechnungen.-Vorbemerkungen zur Lösung von Eigenproblemen.-Lösungsverfahren für Eigenprobleme.-Implementierung der Finite-Elemente-Methode.

Dimensional Analysis

Author : Qing-Ming Tan
ISBN : 3642192343
Genre : Technology & Engineering
File Size : 67. 96 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.

Dimensional Analysis And Intelligent Experimentation

Author : Andrew Clennel Palmer
ISBN : 9789812708182
Genre : Technology & Engineering
File Size : 20. 77 MB
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Dimensional analysis is a magical way of finding useful results with almost no effort. It makes it possible to bring together the results of experiments and computations in a concise but exact form, so that they can be used efficiently and economically to make predictions. It takes advantage of the fact that phenomena go their way independently of the units we measure them with, because the units have nothing to do with the underlying physics. This simple idea turns out to be unexpectedly powerful.Students often fail to gain from dimensional analysis, because bad teaching has led them to suppose it cannot be used to derive new results, and can only confirm results that have been secured by some other route. That notion is false. This book demonstrates what can be done with dimensional analysis through a series of examples, starting with Pythagoras' theorem and the simple pendulum, and going on to a number of practical examples, many from the author's experience in ocean engineering. In parallel, the book explains the underlying theory, starting with Vaschy's elegant treatment, whilst avoiding unnecessary complexity. It also explores the use and misuse of models, which can be useful but can also be seriously misleading.

Scale Up

Author : Marko Zlokarnik
ISBN : 9783527660469
Genre : Science
File Size : 62. 52 MB
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Die Übertagung von Verfahren aus dem Labor-bzw. dem Techni-kumsmaßstab in den industriellen maßstab einer Produktiosanlage ist eine der wichtigsten ingenieurstechnischen Aufgaben in der chemischen Industrie. Die einzige zuverlässige Methode dazu basiert auf der Darstellung von Versuchsergebnissen im zutreffenden dimensions-analytischen Raum, der sich als maßstabsinvariant erweist. Das Buch ist in zwei Teile gegliedert: In der ersten Hälfte werden die vertiefte mathematische Vorkenntnisse dieses Themengebiet näherzubringen. Diskutiert werden die Grundlagen der Dimensionsanalyse, die Behandlung von temperaturabhängigen und von rheologischen Stoffwerten und die Modellübertragung bei Nichtverfügbarkeit von Modellstoffsystemen, sowie bei partieller Ähnlichkeit/ All dies wird dem leser anhand von 20 modernen Beispielen aus der heutigen verfahrenstechnischcen Praxis illustriert, der sich mit 25 in dieser Auflage neu hinzugekommenen Übungsaufgaben sein Verständnis aktive erarbeiten und anhand der Lösungen kontrollieren kann. Im zweitem Teil des Buches werden die einzelnen verfahrenstechnischen Grundoperationen aus den Bereichen mechanische, thermische und chemische Verfahrenstechnik aus der Sicht der Dimensionsanalyse und der Modellübertragung beispielhaft behandelt, und es werden für jede Operation die Maßstabsübertragungsregeln vorgestellt und diskutiert. Das vorliegende Buch wendet sich dementsprechend an Studenten wie auch bereits auf dem gebiet tätige Ingenieure, Chemiker und Verfahrenstechniker.

Scaling Analysis In Modeling Transport And Reaction Processes

Author : William B. Krantz
ISBN : 0470121920
Genre : Technology & Engineering
File Size : 49. 2 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.

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