# A First Course in Dimensional Analysis

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.

Produk Detail:

• Author : Juan G. Santiago
• Publisher : MIT Press
• Pages : 184 pages
• ISBN : 0262355108
• Rating : 4/5 from 21 reviews

## A First Course in Dimensional Analysis

• Author : Juan G. Santiago
• Publisher : MIT Press
• Release : 22 October 2019

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

## Dimensional Analysis

• Author : Hans G. Hornung
• Publisher : Courier Corporation
• Release : 18 January 2013

Derived from a course in fluid mechanics, this text for advanced undergraduates and graduate students employs symmetry arguments to illustrate the principles of dimensional analysis. 2006 edition.

## Applied Dimensional Analysis and Modeling

• Author : Thomas Szirtes
• Publisher : Butterworth-Heinemann
• Release : 27 April 2007

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,

## Dimensional Analysis and Intelligent Experimentation

• Author : Andrew Clennel Palmer
• Publisher : World Scientific
• Release : 08 December 2021

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

## Infinite Dimensional Analysis

• Author : Charalambos D. Aliprantis,Kim C. Border
• Publisher : Springer Science & Business Media
• Release : 02 May 2007

Aimed at students and researchers, this is the very first book to present functional analysis in a unified manner, along with applications to economics, social sciences, and engineering. It is a rigorous study of modern functional analysis.

## Dimensional Analysis and Self-Similarity Methods for Engineers and Scientists

• Author : Bahman Zohuri
• Publisher : Springer
• Release : 15 April 2015

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

## Dimensional Analysis

• Author : J.C. Gibbings
• Publisher : Springer Science & Business Media
• Release : 11 February 2011

For experiments, dimensional analysis enables the design, checks the validity, orders the procedure and synthesises the data. Additionally it can provide relationships between variables where standard analysis is not available. This widely valuable analysis for engineers and scientists is here presented to the student, the teacher and the researcher. It is the first complete modern text that covers developments over the last three decades while closing all outstanding logical gaps. Dimensional Analysis also lists the logical stages of the analysis,

## A First Course in Dimensional Analysis

• Author : Juan G. Santiago
• Publisher : MIT Press
• Release : 22 October 2019

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

## A Student's Guide to Dimensional Analysis

• Author : Don S. Lemons
• Publisher : Cambridge University Press
• Release : 16 March 2017

This introduction to dimensional analysis covers the methods, history and formalisation of the field, and provides physics and engineering applications. Covering topics from mechanics, hydro- and electrodynamics to thermal and quantum physics, it illustrates the possibilities and limitations of dimensional analysis. Introducing basic physics and fluid engineering topics through the mathematical methods of dimensional analysis, this book is perfect for students in physics, engineering and mathematics. Explaining potentially unfamiliar concepts such as viscosity and diffusivity, the text includes worked examples

## Dimensional Analysis for Meds

• Author : Anna M. Curren
• Publisher : Delmar Pub
• Release : 08 December 2021

Boost your confidence in dosage calculations with the strongest dimensional analysis book on the market! Increase your skills and confidence by turning to leading author Anna Curren, who has successfully taught dosage calculations to thousands of students over the years. Dimensional Analysis for Meds, fourth edition, will set your feet on the right path to accuracy and aptitude in medication calculations. You will find full-color drug labels and syringes throughout, tied to questions that test your understanding and mastery of

## Fundamentals of Dimensional Analysis

• Author : Alberto N. Conejo
• Publisher : Springer Nature
• Release : 08 December 2021

This is the first book which systematically describes an integral approach on dimensional analysis. The amount of textbooks on dimensional analysis is huge, however most of the books start with the definition of the relevant variables. When the variables are given to the reader without prior knowledge on each problem it has serious consequences: the usefulness of dimensional analysis is not appreciated, is not possible to understand the real challenges of this subject and the result, which is a general

## Applied Dimensional Analysis and Modeling

• Author : Thomas Szirtes,P. Rózsa
• Publisher : McGraw Hill Professional
• Release : 08 December 1998

Learn to apply the "dimensional method" to facilitate the design and testing of engineering and physical systemsÑand greatly accelerate the development of products. This is the first book to offer a practical approach to modeling and dimensional analysis, emphasizing the interests and problems of the engineer and applied scientist. Packed with illustrations, graphs, numeric tables, and concrete case studies, this in-depth reference work explains both dimensional analysis and scale modeling...concisely describes constructions of dimensional systems, including SI (metric)

## Dimensional Analysis and Scale-up in Chemical Engineering

• Author : Marko Zlokarnik
• Publisher : Springer
• Release : 28 October 1991

Contemporary Chemical Process Engineers face complex design and research problems. Temperature-dependent physical properties and non-Newtonian flow behavior of substances in a process cannot be predicted by numerical mathematics. Scaling-up equipment for processing can often only be done with partial similarity methods. Standard textbooks often neglect topics like dimensional analysis, theory of similarity and scale-up. This book fills this gap! It is aimed both at university students and the process engineer. It presents dimensional analysis very comprehensively with illustrative examples of