Dimensional Analysis and Similarity in Fluid Mechanics

Dimensional Analysis and Similarity in Fluid Mechanics
Author: Nord-Eddine Sad Chemloul
Publisher: John Wiley & Sons
Total Pages: 240
Release: 2020-11-03
Genre: Science
ISBN: 1119788021

Dimensional analysis is the basis for the determination of laws that allow the experimental results obtained on a model to be transposed to the fluid system at full scale (a prototype). The similarity in fluid mechanics then allows for better redefinition of the analysis by removing dimensionless elements. This book deals with these two tools, with a focus on the Rayleigh method and the Vaschy-Buckingham method. It deals with the homogeneity of the equations and the conversion between the systems of units SI and CGS, and presents the dimensional analysis approach, before addressing the similarity of flows. Dimensional Analysis and Similarity in Fluid Mechanics proposes a scale model and presents numerous exercises combining these two methods. It is accessible to students from their first year of a bachelorÂs degree.

Dimensional Analysis and Self-Similarity Methods for Engineers and Scientists

Dimensional Analysis and Self-Similarity Methods for Engineers and Scientists
Author: Bahman Zohuri
Publisher: Springer
Total Pages: 379
Release: 2015-04-15
Genre: Technology & Engineering
ISBN: 3319134760

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.

Dimensional Analysis and Similarity in Fluid Mechanics

Dimensional Analysis and Similarity in Fluid Mechanics
Author: Nord-Eddine Sad Chemloul
Publisher: John Wiley & Sons
Total Pages: 240
Release: 2020-12-15
Genre: Science
ISBN: 1786305968

Dimensional analysis is the basis for the determination of laws that allow the experimental results obtained on a model to be transposed to the fluid system at full scale (a prototype). The similarity in fluid mechanics then allows for better redefinition of the analysis by removing dimensionless elements. This book deals with these two tools, with a focus on the Rayleigh method and the Vaschy-Buckingham method. It deals with the homogeneity of the equations and the conversion between the systems of units SI and CGS, and presents the dimensional analysis approach, before addressing the similarity of flows. Dimensional Analysis and Similarity in Fluid Mechanics proposes a scale model and presents numerous exercises combining these two methods. It is accessible to students from their first year of a bachelors degree.

A Student's Guide to Dimensional Analysis

A Student's Guide to Dimensional Analysis
Author: Don S. Lemons
Publisher: Cambridge University Press
Total Pages: 115
Release: 2017-03-16
Genre: Mathematics
ISBN: 1107161150

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.

Scaling, Self-similarity, and Intermediate Asymptotics

Scaling, Self-similarity, and Intermediate Asymptotics
Author: G. I. Barenblatt
Publisher: Cambridge University Press
Total Pages: 412
Release: 1996-12-12
Genre: Mathematics
ISBN: 9780521435222

Scaling laws reveal the fundamental property of phenomena, namely self-similarity - repeating in time and/or space - which substantially simplifies the mathematical modelling of the phenomena themselves. This book begins from a non-traditional exposition of dimensional analysis, physical similarity theory, and general theory of scaling phenomena, using classical examples to demonstrate that the onset of scaling is not until the influence of initial and/or boundary conditions has disappeared but when the system is still far from equilibrium. Numerous examples from a diverse range of fields, including theoretical biology, fracture mechanics, atmospheric and oceanic phenomena, and flame propagation, are presented for which the ideas of scaling, intermediate asymptotics, self-similarity, and renormalisation were of decisive value in modelling.

Introduction to Fluid Mechanics, Sixth Edition

Introduction to Fluid Mechanics, Sixth Edition
Author: William S. Janna
Publisher: CRC Press
Total Pages: 553
Release: 2020-03-31
Genre: Technology & Engineering
ISBN: 1000731537

Introduction to Fluid Mechanics, Sixth Edition, is intended to be used in a first course in Fluid Mechanics, taken by a range of engineering majors. The text begins with dimensions, units, and fluid properties, and continues with derivations of key equations used in the control-volume approach. Step-by-step examples focus on everyday situations, and applications. These include flow with friction through pipes and tubes, flow past various two and three dimensional objects, open channel flow, compressible flow, turbomachinery and experimental methods. Design projects give readers a sense of what they will encounter in industry. A solutions manual and figure slides are available for instructors.

Fluid Mechanics

Fluid Mechanics
Author: Pijush K. Kundu
Publisher: Academic Press
Total Pages: 919
Release: 2012
Genre: Science
ISBN: 0123821002

Suitable for both a first or second course in fluid mechanics at the graduate or advanced undergraduate level, this book presents the study of how fluids behave and interact under various forces and in various applied situations - whether in the liquid or gaseous state or both.

Introduction to Fluid Mechanics

Introduction to Fluid Mechanics
Author: Robert W. Fox
Publisher: John Wiley & Sons
Total Pages: 752
Release: 2008
Genre: Fluid mechanics
ISBN: 9780470234501

One of the bestselling books in the field, Introduction to Fluid Mechanics continues to provide readers with a balanced and comprehensive approach to mastering critical concepts. The new seventh edition once again incorporates a proven problem-solving methodology that will help them develop an orderly plan to finding the right solution. It starts with basic equations, then clearly states assumptions, and finally, relates results to expected physical behavior. Many of the steps involved in analysis are simplified by using Excel.

The Pi-Theorem

The Pi-Theorem
Author: L.P. Yarin
Publisher: Springer Science & Business Media
Total Pages: 330
Release: 2012-01-21
Genre: Technology & Engineering
ISBN: 3642195652

This volume presents applications of the Pi-Theorem to fluid mechanics and heat and mass transfer. The Pi-theorem yields a physical motivation behind many flow processes and therefore it constitutes a valuable tool for the intelligent planning of experiments in fluids. After a short introduction to the underlying differential equations and their treatments, the author presents many novel approaches how to use the Pi-theorem to understand fluid mechanical issues. The book is a great value to the fluid mechanics community, as it cuts across many subdisciplines of experimental fluid mechanics.