Dimensional Analysis

Dimensional Analysis PDF Author: Hans G. Hornung
Publisher: Courier Corporation
ISBN: 0486446050
Category : Science
Languages : en
Pages : 80

Get Book Here

Book Description
Derived from a course in fluid mechanics, this text for advanced undergraduates and beginning graduate students employs symmetry arguments to demonstrate the principles of dimensional analysis. The examples provided illustrate the effectiveness of symmetry arguments in obtaining the mathematical form of the functions yielded by dimensional analysis. Students will find these methods applicable to a wide field of interests. After discussing several examples of method, the text examines pipe flow, material properties, gasdynamical examples, body in nonuniform flow, and turbulent flow. Additional topics include waves on a free liquid surface, examples with other fluid properties, and ideal gas equations of state. Figures appear throughout the text, which concludes with a bibliography.

Dimensional Analysis

Dimensional Analysis PDF Author: Hans G. Hornung
Publisher: Courier Corporation
ISBN: 0486446050
Category : Science
Languages : en
Pages : 80

Get Book Here

Book Description
Derived from a course in fluid mechanics, this text for advanced undergraduates and beginning graduate students employs symmetry arguments to demonstrate the principles of dimensional analysis. The examples provided illustrate the effectiveness of symmetry arguments in obtaining the mathematical form of the functions yielded by dimensional analysis. Students will find these methods applicable to a wide field of interests. After discussing several examples of method, the text examines pipe flow, material properties, gasdynamical examples, body in nonuniform flow, and turbulent flow. Additional topics include waves on a free liquid surface, examples with other fluid properties, and ideal gas equations of state. Figures appear throughout the text, which concludes with a bibliography.

Dimensional Analysis

Dimensional Analysis PDF Author: Qing-Ming Tan
Publisher: Springer Science & Business Media
ISBN: 3642192343
Category : Technology & Engineering
Languages : en
Pages : 199

Get Book Here

Book Description
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 Beyond the Pi Theorem

Dimensional Analysis Beyond the Pi Theorem PDF Author: Bahman Zohuri
Publisher: Springer
ISBN: 3319457268
Category : Technology & Engineering
Languages : en
Pages : 278

Get Book Here

Book Description
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.

Dimensional Analysis and Self-Similarity Methods for Engineers and Scientists

Dimensional Analysis and Self-Similarity Methods for Engineers and Scientists PDF Author: Bahman Zohuri
Publisher: Springer
ISBN: 3319134760
Category : Technology & Engineering
Languages : en
Pages : 379

Get Book Here

Book Description
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.

A Student's Guide to Dimensional Analysis

A Student's Guide to Dimensional Analysis PDF Author: Don S. Lemons
Publisher: Cambridge University Press
ISBN: 1107161150
Category : Mathematics
Languages : en
Pages : 115

Get Book Here

Book Description
This introduction to dimensional analysis covers the methods, history and formalisation of the field. Utilising topics including mechanics, hydro- and electrodynamics, and thermal and quantum physics, it illustrates the possibilities and limitations of dimensional analysis, making it perfect for students on introductory courses in physics, engineering and mathematics.

Handbook of Formulating Dermal Applications

Handbook of Formulating Dermal Applications PDF Author: Nava Dayan
Publisher: John Wiley & Sons
ISBN: 111936423X
Category : Science
Languages : en
Pages : 702

Get Book Here

Book Description
The conceptualization and formulation of skin care products intended for topical use is a multifaceted and evolving area of science. Formulators must account for myriad skin types, emerging opportunities for product development as well as a very temperamental retail market. Originally published as "Apply Topically" in 2013 (now out of print), this reissued detailed and comprehensive handbook offers a practical approach to the formulation chemist's day-to-day endeavors by: Addressing the innumerable challenges facing the chemist both in design and at the bench, such as formulating with/for specific properties; formulation, processing and production techniques; sensory and elegancy; stability and preservation; color cosmetics; sunscreens; Offering valuable guidance to troubleshooting issues regarding ingredient selection and interaction, regulatory concerns that must be addressed early in development, and the extrapolation of preservative systems, fragrances, stability and texture aids; Exploring the advantages and limitations of raw materials; Addressing scale-up and pilot production process and concerns; Testing and Measurements Methods. The 22 chapters written by industry experts such as Roger L. McMullen, Paul Thau, Hemi Nae, Ada Polla, Howard Epstein, Joseph Albanese, Mark Chandler, Steve Herman, Gary Kelm, Patricia Aikens, and Sam Shefer, along with many others, give the reader and user the ultimate handbook on topical product development.

Principles and Applications of Tribology

Principles and Applications of Tribology PDF Author: Desmond F. Moore
Publisher: Elsevier
ISBN: 1483157288
Category : Technology & Engineering
Languages : en
Pages : 401

Get Book Here

Book Description
Principles and Applications of Tribology provides a mechanical engineering perspective of the fundamental understanding and applications of tribology. This book is organized into two parts encompassing 16 chapters that cover the principles of friction and different types of lubrication. Chapter 1 deals with the immense scope of tribology and the range of applications in the existing technology, and Chapter 2 is devoted entirely to the evaluation and measurement of surface texture. Chapters 3 to 5 present the fundamental concepts underlying the friction of metals, elastomers, and other materials. The principles of hydrodynamic lubrication are briefly discussed in Chapter 6, and the mechanisms of boundary and elastohydrodynamic lubrication are examined in Chapters 7 and 8. Chapter 9 is a generalized treatise on wear and abrasion phenomena in metals and elastomers, whereas Chapter 10 deals with the internal friction in solids, liquids, and gases. Chapter 11 is an abbreviated yet thorough treatment of experimental methods used in tribological studies. The remaining five chapters in this book are devoted to specific applications, including manufacturing processes, automotive applications, transportation, locomotion, bearing design, and miscellaneous. This book is an ideal source for mechanical engineering students.

Experimental Modelling in Engineering

Experimental Modelling in Engineering PDF Author: F. W. David
Publisher: Elsevier
ISBN: 1483102025
Category : Technology & Engineering
Languages : en
Pages : 200

Get Book Here

Book Description
Experimental Modelling in Engineering presents the principles of experimental modeling methodically and in such a generalized manner that they may lend themselves to application in practically all fields of technology. The book covers related topics such as modeling based on conditions of similarity; units and dimensions; the applications of homogeneity and dimensionally homogenous equations in the field; and the selection of variables in dimensional analysis. Also covered in the book are topics such as the use of models in experiments; the principle of similarity; examples in experimental modeling; and problems in dimensional analysis and model design. The text is recommended for engineers who would like to know more about the principles, concepts, behind experimental modeling, as well as its applications in engineering and other related fields.

Methods In Biotechnology

Methods In Biotechnology PDF Author: Michael Schweizer
Publisher: CRC Press
ISBN: 0203210972
Category : Medical
Languages : en
Pages : 268

Get Book Here

Book Description
Provides a grounding in the experimental techniques applicable to the discipline of biotechnology. The introductory section in the text describes procedures for analysis of inorganic and organic materials, strain maintenance and fundamental experiments in gene manipulation. Other chapters deal with fermentation techniques, purification methods for substances of interest, preparation of microbial sensors and the demonstration of oil degradation by bacteria. The final chapter deals with statistical planning of experiments and scale-up methods.

Advances on Testing and Experimentation in Civil Engineering

Advances on Testing and Experimentation in Civil Engineering PDF Author: Carlos Chastre
Publisher: Springer Nature
ISBN: 3031058755
Category : Technology & Engineering
Languages : en
Pages : 382

Get Book Here

Book Description
The book presents the recent advances on testing and experimentation in civil engineering, especially in the branches of geotechnics, transportation, hydraulics, and natural resources. It includes advances in physical modelling, monitoring techniques, data acquisition and analysis, and provides an invaluable contribution for the installation of new civil engineering experimental facilities. The first part of the book covers the latest advances in testing and experimentation in key domains of geotechnics: soil mechanics and geotechnical engineering, rock mechanics and rock engineering, and engineering geology. Some of the topics covered include new developments in topographic survey acquisition for applied mapping and in situ geotechnical investigations; laboratory and in situ tests to estimate the relevant parameters needed to model the behaviour of rock masses and land structures; monitoring and inspection techniques designed for offshore wind foundations. The second part of the book highlights the relevance of testing and monitoring in transportation. Full-scale accelerated pavement testing, and instrumentation becomes even more important nowadays when, for sustainability purposes, non-traditional materials are used in road and airfield pavements. Innovation in testing and monitoring pavements and railway tracks is also developed in this part of the book. Intelligent traffic systems are the new traffic management paradigm, and an overview of new solutions is addressed here. Finally, in the third part of the book, trends in the field and laboratory measurements and corresponding data analysis are presented according to the different hydraulic domains addressed in this publication, namely maritime hydraulics, surface water and river hydraulics and urban water.