Search results for: a-first-course-in-dimensional-analysis

A First Course in Dimensional Analysis

Author : Juan G. Santiago
File Size : 23.51 MB
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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.

A First Course in Mathematical Modeling

Author : Frank R. Giordano
File Size : 34.68 MB
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Offering a solid introduction to the entire modeling process, A FIRST COURSE IN MATHEMATICAL MODELING, 5th Edition delivers an excellent balance of theory and practice, and gives you relevant, hands-on experience developing and sharpening your modeling skills. Throughout, the book emphasizes key facets of modeling, including creative and empirical model construction, model analysis, and model research, and provides myriad opportunities for practice. The authors apply a proven six-step problem-solving process to enhance your problem-solving capabilities -- whatever your level. In addition, rather than simply emphasizing the calculation step, the authors first help you learn how to identify problems, construct or select models, and figure out what data needs to be collected. By involving you in the mathematical process as early as possible -- beginning with short projects -- this text facilitates your progressive development and confidence in mathematics and modeling. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

A First Course in Fluid Mechanics for Civil Engineers

Author : Donald D. Gray
File Size : 74.47 MB
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A First Course in Turbulence

Author : Hendrik Tennekes
File Size : 59.14 MB
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This is the first book specifically designed to offer the student a smooth transitionary course between elementary fluid dynamics (which gives only last-minute attention to turbulence) and the professional literature on turbulent flow, where an advanced viewpoint is assumed. The subject of turbulence, the most forbidding in fluid dynamics, has usually proved treacherous to the beginner, caught in the whirls and eddies of its nonlinearities and statistical imponderables. This is the first book specifically designed to offer the student a smooth transitionary course between elementary fluid dynamics (which gives only last-minute attention to turbulence) and the professional literature on turbulent flow, where an advanced viewpoint is assumed. Moreover, the text has been developed for students, engineers, and scientists with different technical backgrounds and interests. Almost all flows, natural and man-made, are turbulent. Thus the subject is the concern of geophysical and environmental scientists (in dealing with atmospheric jet streams, ocean currents, and the flow of rivers, for example), of astrophysicists (in studying the photospheres of the sun and stars or mapping gaseous nebulae), and of engineers (in calculating pipe flows, jets, or wakes). Many such examples are discussed in the book. The approach taken avoids the difficulties of advanced mathematical development on the one side and the morass of experimental detail and empirical data on the other. As a result of following its midstream course, the text gives the student a physical understanding of the subject and deepens his intuitive insight into those problems that cannot now be rigorously solved. In particular, dimensional analysis is used extensively in dealing with those problems whose exact solution is mathematically elusive. Dimensional reasoning, scale arguments, and similarity rules are introduced at the beginning and are applied throughout. A discussion of Reynolds stress and the kinetic theory of gases provides the contrast needed to put mixing-length theory into proper perspective: the authors present a thorough comparison between the mixing-length models and dimensional analysis of shear flows. This is followed by an extensive treatment of vorticity dynamics, including vortex stretching and vorticity budgets. Two chapters are devoted to boundary-free shear flows and well-bounded turbulent shear flows. The examples presented include wakes, jets, shear layers, thermal plumes, atmospheric boundary layers, pipe and channel flow, and boundary layers in pressure gradients. The spatial structure of turbulent flow has been the subject of analysis in the book up to this point, at which a compact but thorough introduction to statistical methods is given. This prepares the reader to understand the stochastic and spectral structure of turbulence. The remainder of the book consists of applications of the statistical approach to the study of turbulent transport (including diffusion and mixing) and turbulent spectra.

A First Course in Fluid Mechanics for Engineers

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File Size : 76.64 MB
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A First Course in Turbulence

Author : Emeritus Professor of Aeronautical Engineering Henk Tennekes
File Size : 84.31 MB
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A First Course in Fluid Mechanics

Author : S. Narasimhan
File Size : 55.28 MB
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A First Course in Fluid Mechanics is primarily devoted to the application of the laws of Newtonian mechanics to solve complex problems in fluid motion. The topics discussed include fluid properties and their role in fluid motion; fluid statics; fluid kinematics; Euler’s equations and Bernoulli’s energy equation; forms of irrotational flows; property of viscosity and the Navier–Stokes equations of motion; turbulence. A chapter on dimensional analysis and model similitude is included to emphasise the need for guided experimentation, presentation of results in generalised forms and interpretation of results obtained on the model to the prototype.

An Introduction to Quantum Physics

Author : Stefanos Trachanas
File Size : 84.22 MB
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This modern textbook offers an introduction to Quantum Mechanics as a theory that underlies the world around us, from atoms and molecules to materials, lasers, and other applications. The main features of the book are: Emphasis on the key principles with minimal mathematical formalism Demystifying discussions of the basic features of quantum systems, using dimensional analysis and order-of-magnitude estimates to develop intuition Comprehensive overview of the key concepts of quantum chemistry and the electronic structure of solids Extensive discussion of the basic processes and applications of light-matter interactions Online supplement with advanced theory, multiple-choice quizzes, etc.

A First Course in Algebra

Author : Alison Warr
File Size : 50.36 MB
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This book was written to address the challenge of the NCTM and AMATYC Standards and technology integration in the classroom. The authors address the standards using a variety of methods, including Numerical, Graphical, and Algebraic Models; Guided Discovery Activities; Problem Solving; Technology; Collaborative Learning.

A First Course in Functional Analysis

Author : Dorairaj Somasundaram
File Size : 59.28 MB
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"A First Course in Functional Analysis lucidly covers Banach Spaces. Continuous linear functionals, the basic theorems of bounded linear operators, Hilbert spaces, Operators on Hilbert spaces. Spectral theory and Banach Algebras usually taught as a core course to post-graduate students in mathematics. The special distinguishing features of the book include the establishment of the spectral theorem for the compact normal operators in the infinite dimensional case exactly in the same form as in the finite dimensional case and a detailed treatment of the theory of Banach algebras leading to the proof of the Gelfand-Neumark structure theorem for Banach algebras."--BOOK JACKET.

A First Course in the Finite Element Method

Author : Daryl L. Logan
File Size : 47.39 MB
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This book provides a simple, basic approach to the finite element method that can be understood by readers. It does not have the usual prerequisites required by most available books in this area. The book is written primarily as a basic learning tool for civil and mechanical engineers whose main interest is in stress analysis and heat transfer.

A First Course in Analysis

Author : John B. Conway
File Size : 48.93 MB
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This rigorous textbook is intended for a year-long analysis or advanced calculus course for advanced undergraduate or beginning graduate students. Starting with detailed, slow-paced proofs that allow students to acquire facility in reading and writing proofs, it clearly and concisely explains the basics of differentiation and integration of functions of one and several variables, and covers the theorems of Green, Gauss, and Stokes. Minimal prerequisites are assumed, and relevant linear algebra topics are reviewed right before they are needed, making the material accessible to students from diverse backgrounds. Abstract topics are preceded by concrete examples to facilitate understanding, for example, before introducing differential forms, the text examines low-dimensional examples. The meaning and importance of results are thoroughly discussed, and numerous exercises of varying difficulty give students ample opportunity to test and improve their knowledge of this difficult yet vital subject.

Dimensional Analysis for Meds

Author : Anna M. Curren
File Size : 52.36 MB
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"Add a dimension to your knowledge. With Curren's Dimensional Analysis for Meds, Third Edition, you find out just how easy it can be to calculate dosages correctly. No prior knowledge of calculation is necessary, as a building-block organization is employed to cover basic facts and tips regarding drug measures, reading medication labels, and syringe calibrations. Once competency is established, more complex concepts are presented, such as intravenous and pediatric calculations, as well as numerous opportunities to practice your new skills. A conversational style accompanies this effective learning progression, revealing Dimensional Analysis for Meds as simply the most effective tool for learning dosage calculations."--BOOK JACKET.

A First Course in Continuum Mechanics

Author : Yuan-cheng Fung
File Size : 27.24 MB
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Revision of a classic text by a distinguished author. Emphasis is on problem formulation and derivation of governing equations. New edition features increased emphasis on applications. New chapter covers long-term changes in materials under stress.

A First Course in Functional Analysis

Author : S. David Promislow
File Size : 71.19 MB
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A concise introduction to the major concepts of functional analysis Requiring only a preliminary knowledge of elementary linear algebra and real analysis, A First Course in Functional Analysis provides an introduction to the basic principles and practical applications of functional analysis. Key concepts are illustrated in a straightforward manner, which facilitates a complete and fundamental understanding of the topic. This book is based on the author's own class-tested material and uses clear language to explain the major concepts of functional analysis, including Banach spaces, Hilbert spaces, topological vector spaces, as well as bounded linear functionals and operators. As opposed to simply presenting the proofs, the author outlines the logic behind the steps, demonstrates the development of arguments, and discusses how the concepts are connected to one another. Each chapter concludes with exercises ranging in difficulty, giving readers the opportunity to reinforce their comprehension of the discussed methods. An appendix provides a thorough introduction to measure and integration theory, and additional appendices address the background material on topics such as Zorn's lemma, the Stone-Weierstrass theorem, Tychonoff's theorem on product spaces, and the upper and lower limit points of sequences. References to various applications of functional analysis are also included throughout the book. A First Course in Functional Analysis is an ideal text for upper-undergraduate and graduate-level courses in pure and applied mathematics, statistics, and engineering. It also serves as a valuable reference for practitioners across various disciplines, including the physical sciences, economics, and finance, who would like to expand their knowledge of functional analysis.

A First Course in Data Processing

Author : J. Daniel Couger
File Size : 82.93 MB
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Application of Crossed plane Imaging for Three dimensional Analysis of Premixed Turbulent Flames

Author : Darin Alan Knaus
File Size : 38.53 MB
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The crossed-plane imaging technique is evaluated and applied to a variety of premixed turbulent flames to study the wrinkling of flamelet surfaces, calculate reaction rates, and study the thermal structure of flamelets. The technique involves two simultaneous, orthogonal combustion-imaging measurements. The imaging planes intersect to define a measurement line along which instantaneous, three-dimensional scalar field data are calculated. In the flamelet regime of premixed turbulent combustion, reactions are confined to thin sheets, called flamelets. Flamelet reaction rates are proportional to the average flamelet surface area in a volume. Flamelets have the local structure of stretched laminar flames. Crossed-plane imaging is used to measure data for flamelet orientation, N, and temperature gradient, & nabla; T, in three dimensions. N data are used to quantify the wrinkling of flamelet surfaces for calculating reaction rates. & nabla; T data are used to observe the perturbation of the local thermal flamelet structure of premixed turbulent flames.

Dimensional Analysis

Author : G. I. Barenblatt
File Size : 88.25 MB
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A First Course in Physical Science

Author : Robert P. Bauman
File Size : 54.67 MB
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This text provides an understanding of the foundations and structure of physical science by emphasizing science as a search for truth rather than an accumulation of facts. It develops the subject through concrete examples such as inclined planes and levers, speeds and displacements, progressing to consideration of forces and the concept of inertia, and the idea of energy. Similarly, a study of observable chemical reactions advances to the ways in which atoms combine, separate and displace one another, and how observable masses of reactants and products illustrate how the atoms are combining. The fundamental ideas are applied to astronomy, optics, geology, music and the chemical compounds of life processes. The wide variety of end- of-chapter problems and multiple choice questions reinforce comprehension of each topic.

A First Course in Harmonic Analysis

Author : Anton Deitmar
File Size : 51.14 MB
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This book introduces harmonic analysis at an undergraduate level. In doing so it covers Fourier analysis and paves the way for Poisson Summation Formula. Another central feature is that is makes the reader aware of the fact that both principal incarnations of Fourier theory, the Fourier series and the Fourier transform, are special cases of a more general theory arising in the context of locally compact abelian groups. The final goal of this book is to introduce the reader to the techniques used in harmonic analysis of noncommutative groups. These techniques are explained in the context of matrix groups as a principal example.