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Books on the topic 'Non-dimensional analysis'

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Author: Grafiati

Published: 10 March 2023

Last updated: 11 March 2023

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1

Lee, B. H. K. Flutter analysis of a two-dimensional airfoil with cubic non-linear restoring force. Ottawa: National Aeronautical Establishment, 1986.

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2

Hitschfeld, Nancy. Grid generation for three-dimensional non-rectangular semiconductor devices. Konstanz: Hartung-Gorre, 1993.

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3

1931-, Abarbanel Saul S., Turkel E, and Institute for Computer Applications in Science and Engineering., eds. A far-field non-reflecting boundary condition for two-dimensional wake flows. Hampton, VA: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1995.

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4

Danowitz, Jeffrey S. A far-field non-reflecting boundary condition for two-dimensional wake flows. Hampton, Va: Institute for Computer Applications in Science and Engineering, 1995.

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5

King, Patricia Anne. A three-dimensional kinematic analysis of the forward long swing on rings comparing elite and non-elite male gymnasts. Cardiff: University of Wales Institute, Cardiff, 1999.

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6

Casadei, F. EURDYN-ID: A computer code for the one-dimensional non-linear dynamic analysis of structural systems : description a users manual (release 1). Luxembourg: Commission of the European Communities, 1985.

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7

Connes, Alain. Quanta of maths: Conference in honor of Alain Connes, non commutative geometry, Institut Henri Poincaré, Institut des hautes études scientifiques, Institut de mathématiques de Jussieu, Paris, France, March 29-April 6, 2007. Providence, R.I: American Mathematical Society, 2010.

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8

Poincaré, Institut Henri, Institut des hautes études scientifiques (Paris, France), and Institut de mathématiques de Jussieu, eds. Quanta of maths: Conference in honor of Alain Connes, non commutative geometry, Institut Henri Poincaré, Institut des hautes études scientifiques, Institut de mathématiques de Jussieu, Paris, France, March 29-April 6, 2007. Providence, R.I: American Mathematical Society, 2010.

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9

Escudier, Marcel. Units of measurement, dimensions, and dimensional analysis. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198719878.003.0003.

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In this chapter the crucial role of units and dimensions in the analysis of any problem involving physical quantities is explained. The International System of Units (SI) is introduced. The major advantage of collecting the physical quantities, which are included in either a theoretical analysis or an experiment, into non-dimensional groups is shown to be a reduction in the number of quantities which need to be considered separately. This process, known as dimensional analysis, is based upon the principle of dimensional homogeneity. Buckingham’s Π‎ theorem is introduced as a method for determining the number of non-dimensional groups (the Π‎’s) corresponding with a set of dimensional quantities and their dimensions. A systematic and simple procedure for identifying these groups is the sequential elimination of dimensions. The scale-up from a model to a geometrically similar full-size version is shown to require dynamic similarity. The definitions and names of the non-dimensional groups most frequently encountered in fluid mechanics have been introduced and their physical significance explained.

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10

A far-field non-reflecting boundary condition for two-dimensional wake flows. Hampton, VA: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1995.

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11

A far-field non-reflecting boundary condition for two-dimensional wake flows. Hampton, VA: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1995.

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12

Non-Commutativity, Infinite Dimensionality and Probability at the Crossroads: Proceedings of the Rims Workshop on Infinite-Dimensional Analysis and Quantum ... Quantum Probability & White Noise Analysis). World Scientific Pub Co Inc, 2003.

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13

Escudier, Marcel. Flow through axial-flow-turbomachinery blading. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198719878.003.0014.

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This chapter is concerned primarily with the flow of a compressible fluid through stationary and moving blading, for the most part using the analysis introduced in Chapter 11. The principles of dimensional analysis are applied to determine the appropriate non-dimensional parameters to characterise the performance of a turbomachine. The analysis of incompressible flow through a linear cascade of aerofoil-like blades is followed by the analysis of compressible flow. Velocity triangles for flow relative to blades, and Euler’s turbomachinery equation, are introduced to analyse flow through a rotor. The concepts introduced are applied to the analysis of an axial-turbomachine stage comprising a stator and a rotor, which applies to either a compressor or a turbine.

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14

Advances In Ultrametric Analysis 12th International Conference On Padic Functional Analysis July 26 2012 University Of Manitoba Winnipeg Canada. American Mathematical Society, 2013.

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15

Sicari, Rosa, Edyta Płońska-Gościniak, and Jorge Lowenstein. Stress echocardiography: image acquisition and modalities. Oxford University Press, 2016. http://dx.doi.org/10.1093/med/9780198726012.003.0013.

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Stress echocardiography has evolved over the last 30 years but image interpretation remains subjective and burdened by the operator’s experience. The objective operator-independent assessment of myocardial ischaemia during stress echocardiography remains a technological challenge. Still, adequate quality of two-dimensional images remains a prerequisite to successful quantitative analysis, even using Doppler and non-Doppler based techniques. No new technology has proved to have a higher diagnostic accuracy than conventional visual wall motion analysis. Tissue Doppler imaging and derivatives may reduce inter-observer variability, but still require a dedicated learning curve and special expertise. The development of contrast media in echocardiography has been slow. In the past decade, transpulmonary contrast agents have become commercially available for clinical use. The approved indication for the use of contrast echocardiography currently lies in improving endocardial border delineation in patients in whom adequate imaging is difficult or suboptimal. Real-time three-dimensional echocardiography is potentially useful but limited by low spatial and temporal resolution. It is possible that these technologies may serve as an adjunct to expert visual assessment of wall motion. At present, these quantitative methods require further validation and simplification of analysis techniques.

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16

Levin, Frank S. Quantum Tunneling. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198808275.003.0014.

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Quantum tunneling, wherein a quanject has a non-zero probability of tunneling into and then exiting a barrier of finite width and height, is the subject of Chapter 13. The description for the one-dimensional case is extended to the barrier being inverted, which forms an attractive potential well. The first application of this analysis is to the emission of alpha particles from the decay of radioactive nuclei, where the alpha-nucleus attraction is modeled by a potential well and the barrier is the repulsive Coulomb potential. Excellent results are obtained. Ditto for the similar analysis of proton burning in stars and yet a different analysis that explains tunneling through a Josephson junction, the connector between two superconductors. The final application is to the scanning tunneling microscope, a device that allows the microscopic surfaces of solids to be mapped via electrons from the surface molecules tunneling into the tip of the STM probe.

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17

Ellis, Graham. An Invitation to Computational Homotopy. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198832973.001.0001.

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This book is an introduction to elementary algebraic topology for students with an interest in computers and computer programming. Its aim is to illustrate how the basics of the subject can be implemented on a computer. The transition from basic theory to practical computation raises a range of non-trivial algorithmic issues and it is hoped that the treatment of these will also appeal to readers already familiar with basic theory who are interested in developing computational aspects. The book covers a subset of standard introductory material on fundamental groups, covering spaces, homology, cohomology and classifying spaces as well as some less standard material on crossed modules, homotopy 2- types and explicit resolutions for an eclectic selection of discrete groups. It attempts to cover these topics in a way that hints at potential applications of topology in areas of computer science and engineering outside the usual territory of pure mathematics, and also in a way that demonstrates how computers can be used to perform explicit calculations within the domain of pure algebraic topology itself. The initial chapters include examples from data mining, biology and digital image analysis, while the later chapters cover a range of computational examples on the cohomology of classifying spaces that are likely beyond the reach of a purely paper-and-pen approach to the subject. The applied examples in the initial chapters use only low-dimensional and mainly abelian topological tools. Our applications of higher dimensional and less abelian computational methods are currently confined to pure mathematical calculations. The approach taken to computational homotopy is very much based on J.H.C. Whitehead’s theory of combinatorial homotopy in which he introduced the fundamental notions of CW-space, simple homotopy equivalence and crossed module. The book should serve as a self-contained informal introduction to these topics and their computer implementation. It is written in a style that tries to lead as quickly as possible to a range of potentially useful machine computations.

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18

Berge, Benjamin von dem, and Thomas Poguntke. Varieties of Intra-Party Democracy. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198758631.003.0006.

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This chapter introduces a new, two-dimensional way of measuring intra-party democracy (IPD). It is argued that assembly-based IPD and plebiscitary IPD are two theoretically different modes of intra-party decision-making. Assembly-based IPD means that discussion and decision over a certain topic takes place at the same time. Plebiscitary IPD disconnects the act of voting from the discussion over the alternatives that are put to a vote. In addition, some parties have opened up plebiscitary decision-making to non-members which is captured by the concept of open plebiscitary IPD. Based on the Political Party Database Project (PPDB) dataset, indices are developed for the three variants of IPD. The empirical analyses here show that assembly-based and plebiscitary IPD are combined by political parties in different ways while open party plebiscites are currently a rare exception.

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19

Geometry and Dynamics in Gromov Hyperbolic Metric Spaces: With an Emphasis on Non-Proper Settings. American Mathematical Society, 2017.

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20

Anguillari, Enrico, and Branka Dimitrijević. INTEGRATED URBAN PLANNING: directions, resources and territories. TU Delft Bouwkunde, 2018. http://dx.doi.org/10.47982/bookrxiv.24.

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The purpose of the book on integrated urban planning (IUP) is to present ongoing research from the universities involved in the project Creating the Network of Knowledge Labs for Sustainable and Resilient Environments (KLABS). Although sustainability and resilience have been largely explored in many complex social-ecological systems, they have only recently been applied in the context of cities. Both concepts are useful when seeking an integrated approach to urban planning as they help to look at the city as an interconnected, multi-dimensional system. Analysing the sustainability and the resilience of urban systems involves looking at environmental, social and economic aspects, as well as at those related to technology, culture and institutional structures. Sustainability, resilience as well as integrated urban development are all focused on process. Their objectives are typically defined around the ongoing operation of the process and they can change during the time. Therefore, building a sustainable and resilient city is a collective endeavor that is about mindsets just as much as about physical structures and their operation, where capacity to anticipate and plan for the future, to learn and to adapt are paramount. The papers published in this book show that the recent and current research in those institutions focuses on the directions of development of IUP, the processes that support sustainable and resilient use of natural resources and their application in the Western Balkan and some other European countries. Each essay aims to provide an overview of key aspects of the research topic. The division of the book into three parts - directions, resources and territories - underlines how the challenges that the contemporary city poses can be dealt with more effectively by integrating different paradigms, concepts and trends of urban development and governance; taking into account the numerous problems linked to the availability and exploitation of the main natural and non-natural resources; and looking at the city and the territory as systems in constant transformation, not reducible within rigid dichotomies such as urban/rural, dense/sprawled, formal/informal, etc.

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