Dimensional Analysis And Similarity In Fluid Mechanics
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| 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.
| 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.
| 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.
| 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.
| 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.
| 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.
| Author | : S. K.. Som |
| Publisher | : |
| Total Pages | : 712 |
| Release | : 2008 |
| Genre | : Fluid mechanics |
| ISBN | : 9780070702592 |
| 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.
| 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.
| 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.
