Scaling Phenomena in Fluid Mechanics

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Publisher : CUP Archive
ISBN 13 : 9780521469203
Total Pages : 60 pages
Book Rating : 4.4/5 (692 download)

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Book Synopsis Scaling Phenomena in Fluid Mechanics by : G. I. Barenblatt

Download or read book Scaling Phenomena in Fluid Mechanics written by G. I. Barenblatt and published by CUP Archive. This book was released on 1994-12 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the text of the inaugural lecture of Professor G. I. Barenblatt which deals with a study of scaling phenomena in several topics studied by G. I. Taylor throughout his varied career.

Multi-scale Phenomena in Complex Fluids

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Author :
Publisher : World Scientific
ISBN 13 : 9814273252
Total Pages : 379 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Multi-scale Phenomena in Complex Fluids by : Thomas Y. Hou

Download or read book Multi-scale Phenomena in Complex Fluids written by Thomas Y. Hou and published by World Scientific. This book was released on 2009 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multi-Scale Phenomena in Complex Fluids is a collection of lecture notes delivered during the ªrst two series of mini-courses from "Shanghai Summer School on Analysis and Numerics in Modern Sciences," which was held in 2004 and 2006 at Fudan University, Shanghai, China. This review volume of 5 chapters, covering various fields in complex fluids, places emphasis on multi-scale modeling, analyses and simulations. It will be of special interest to researchers and graduate students who want to work in the field of complex fluids.

Fluid Flow Phenomena

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9401142815
Total Pages : 369 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Fluid Flow Phenomena by : Paolo Orlandi

Download or read book Fluid Flow Phenomena written by Paolo Orlandi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the simulation of the incompressible Navier-Stokes equations for laminar and turbulent flows. The book is limited to explaining and employing the finite difference method. It furnishes a large number of source codes which permit to play with the Navier-Stokes equations and to understand the complex physics related to fluid mechanics. Numerical simulations are useful tools to understand the complexity of the flows, which often is difficult to derive from laboratory experiments. This book, then, can be very useful to scholars doing laboratory experiments, since they often do not have extra time to study the large variety of numerical methods; furthermore they cannot spend more time in transferring one of the methods into a computer language. By means of numerical simulations, for example, insights into the vorticity field can be obtained which are difficult to obtain by measurements. This book can be used by graduate as well as undergraduate students while reading books on theoretical fluid mechanics; it teaches how to simulate the dynamics of flow fields on personal computers. This will provide a better way of understanding the theory. Two chapters on Large Eddy Simulations have been included, since this is a methodology that in the near future will allow more universal turbulence models for practical applications. The direct simulation of the Navier-Stokes equations (DNS) is simple by finite-differences, that are satisfactory to reproduce the dynamics of turbulent flows. A large part of the book is devoted to the study of homogeneous and wall turbulent flows. In the second chapter the elementary concept of finite difference is given to solve parabolic and elliptical partial differential equations. In successive chapters the 1D, 2D, and 3D Navier-Stokes equations are solved in Cartesian and cylindrical coordinates. Finally, Large Eddy Simulations are performed to check the importance of the subgrid scale models. Results for turbulent and laminar flows are discussed, with particular emphasis on vortex dynamics. This volume will be of interest to graduate students and researchers wanting to compare experiments and numerical simulations, and to workers in the mechanical and aeronautic industries.

Scaling

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Publisher : Cambridge University Press
ISBN 13 : 0521826578
Total Pages : 187 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Scaling by : G. I. Barenblatt

Download or read book Scaling written by G. I. Barenblatt and published by Cambridge University Press. This book was released on 2003-11-13 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author describes and teaches the art of discovering scaling laws, starting from dimensional analysis and physical similarity, which are here given a modern treatment. He demonstrates the concepts of intermediate asymptotics and the renormalisation group as natural consequences of self-similarity and shows how and when these notions and tools can be used to tackle the task at hand, and when they cannot. Based on courses taught to undergraduate and graduate students, the book can also be used for self-study by biologists, chemists, astronomers, engineers and geoscientists.

Advanced Transport Phenomena

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Publisher : Cambridge University Press
ISBN 13 : 1139462067
Total Pages : 7 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Advanced Transport Phenomena by : L. Gary Leal

Download or read book Advanced Transport Phenomena written by L. Gary Leal and published by Cambridge University Press. This book was released on 2007-06-18 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Transport Phenomena is ideal as a graduate textbook. It contains a detailed discussion of modern analytic methods for the solution of fluid mechanics and heat and mass transfer problems, focusing on approximations based on scaling and asymptotic methods, beginning with the derivation of basic equations and boundary conditions and concluding with linear stability theory. Also covered are unidirectional flows, lubrication and thin-film theory, creeping flows, boundary layer theory, and convective heat and mass transport at high and low Reynolds numbers. The emphasis is on basic physics, scaling and nondimensionalization, and approximations that can be used to obtain solutions that are due either to geometric simplifications, or large or small values of dimensionless parameters. The author emphasizes setting up problems and extracting as much information as possible short of obtaining detailed solutions of differential equations. The book also focuses on the solutions of representative problems. This reflects the book's goal of teaching readers to think about the solution of transport problems.

Scaling Analysis in Modeling Transport and Reaction Processes

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Publisher : John Wiley & Sons
ISBN 13 : 0470121920
Total Pages : 576 pages
Book Rating : 4.4/5 (71 download)

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Book Synopsis Scaling Analysis in Modeling Transport and Reaction Processes by : William B. Krantz

Download or read book Scaling Analysis in Modeling Transport and Reaction Processes written by William B. Krantz and published by John Wiley & Sons. This book was released on 2007-06-04 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is unique as the first effort to expound on the subject of systematic scaling analysis. Not written for a specific discipline, the book targets any reader interested in transport phenomena and reaction processes. The book is logically divided into chapters on the use of systematic scaling analysis in fluid dynamics, heat transfer, mass transfer, and reaction processes. An integrating chapter is included that considers more complex problems involving combined transport phenomena. Each chapter includes several problems that are explained in considerable detail. These are followed by several worked examples for which the general outline for the scaling is given. Each chapter also includes many practice problems. This book is based on recognizing the value of systematic scaling analysis as a pedagogical method for teaching transport and reaction processes and as a research tool for developing and solving models and in designing experiments. Thus, the book can serve as both a textbook and a reference book.

Laminar Flow and Convective Transport Processes

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Publisher : Elsevier
ISBN 13 : 1483292223
Total Pages : 761 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Laminar Flow and Convective Transport Processes by : Howard Brenner

Download or read book Laminar Flow and Convective Transport Processes written by Howard Brenner and published by Elsevier. This book was released on 2013-10-22 with total page 761 pages. Available in PDF, EPUB and Kindle. Book excerpt: Laminar Flow and Convective Transport Processes: Scaling Principles and Asymptotic Analysis presents analytic methods for the solution of fluid mechanics and convective transport processes, all in the laminar flow regime. This book brings together the results of almost 30 years of research on the use of nondimensionalization, scaling principles, and asymptotic analysis into a comprehensive form suitable for presentation in a core graduate-level course on fluid mechanics and the convective transport of heat. A considerable amount of material on viscous-dominated flows is covered. A unique feature of this book is its emphasis on scaling principles and the use of asymptotic methods, both as a means of solution and as a basis for qualitative understanding of the correlations that exist between independent and dependent dimensionless parameters in transport processes. Laminar Flow and Convective Transport Processes is suitable for use as a textbook for graduate courses in fluid mechanics and transport phenomena and also as a reference for researchers in the field.

Multi-scale Phenomena In Complex Fluids: Modeling, Analysis And Numerical Simulations

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Author :
Publisher : World Scientific
ISBN 13 : 9814467952
Total Pages : 379 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Multi-scale Phenomena In Complex Fluids: Modeling, Analysis And Numerical Simulations by : Chun Liu

Download or read book Multi-scale Phenomena In Complex Fluids: Modeling, Analysis And Numerical Simulations written by Chun Liu and published by World Scientific. This book was released on 2009-06-12 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multi-Scale Phenomena in Complex Fluids is a collection of lecture notes delivered during the first two series of mini-courses from “Shanghai Summer School on Analysis and Numerics in Modern Sciences”, which was held in 2004 and 2006 at Fudan University, Shanghai, China.This review volume of 5 chapters, covering various fields in complex fluids, places emphasis on multi-scale modeling, analyses and simulations. It will be of special interest to researchers and graduate students who want to work in the field of complex fluids.

Fluid Mechanics

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Publisher : Academic Press
ISBN 13 : 0123821002
Total Pages : 919 pages
Book Rating : 4.1/5 (238 download)

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Book Synopsis Fluid Mechanics by : Pijush K. Kundu

Download or read book Fluid Mechanics written by Pijush K. Kundu and published by Academic Press. This book was released on 2012 with total page 919 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Scaling, Self-similarity, and Intermediate Asymptotics

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Author :
Publisher : Cambridge University Press
ISBN 13 : 9780521435222
Total Pages : 412 pages
Book Rating : 4.4/5 (352 download)

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Book Synopsis Scaling, Self-similarity, and Intermediate Asymptotics by : G. I. Barenblatt

Download or read book Scaling, Self-similarity, and Intermediate Asymptotics written by G. I. Barenblatt and published by Cambridge University Press. This book was released on 1996-12-12 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Modern Fluid Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 1402086709
Total Pages : 627 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Modern Fluid Dynamics by : Clement Kleinstreuer

Download or read book Modern Fluid Dynamics written by Clement Kleinstreuer and published by Springer Science & Business Media. This book was released on 2009-12-02 with total page 627 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook covers essentials of traditional and modern fluid dynamics, i. e. , the fundamentals of and basic applications in fluid mechanics and convection heat transfer with brief excursions into fluid-particle dynamics and solid mechanics. Specifically, it is suggested that the book can be used to enhance the knowledge base and skill level of engineering and physics students in macro-scale fluid mechanics (see Chaps. 1–5 and 10), followed by an int- ductory excursion into micro-scale fluid dynamics (see Chaps. 6 to 9). These ten chapters are rather self-contained, i. e. , most of the material of Chaps. 1–10 (or selectively just certain chapters) could be taught in one course, based on the students’ background. Typically, serious seniors and first-year graduate students form a receptive audience (see sample syllabus). Such as target group of students would have had prerequisites in thermodynamics, fluid mechanics and solid mechanics, where Part A would be a welcomed refresher. While introductory fluid mechanics books present the material in progressive order, i. e. , employing an inductive approach from the simple to the more difficult, the present text adopts more of a deductive approach. Indeed, understanding the derivation of the basic equations and then formulating the system-specific equations with suitable boundary conditions are two key steps for proper problem solutions.

All Things Flow

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Publisher :
ISBN 13 : 9781794807525
Total Pages : 186 pages
Book Rating : 4.8/5 (75 download)

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Book Synopsis All Things Flow by : William Smyth

Download or read book All Things Flow written by William Smyth and published by . This book was released on 2019-09-10 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a graduate-level textbook for students in the natural sciences. After reviewing the necessary math, it describes the logical path from Newton's laws of motion to our modern understanding of fluid mechanics. It does not describe engineering applications but instead focuses on phenomena found in nature. Once developed, the theory is applied to three familiar examples of flows that can be observed easily in Earth's atmosphere, oceans, rivers and lakes: vortices, interfacial waves, and hydraulic transitions. The student will then have both (1) the tools to analyze a wide range of naturally-occurring flows and (2) a solid foundation for more advanced studies in atmospheric dynamics and physical oceanography. Appendices give more detailed explanations and optional topics.

Scaling

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Publisher : Cambridge University Press
ISBN 13 : 1107393957
Total Pages : 187 pages
Book Rating : 4.1/5 (73 download)

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Book Synopsis Scaling by : Grigory Isaakovich Barenblatt

Download or read book Scaling written by Grigory Isaakovich Barenblatt and published by Cambridge University Press. This book was released on 2003-11-13 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many phenomena in nature, engineering or society when seen at an intermediate distance, in space or time, exhibit the remarkable property of self-similarity: they reproduce themselves as scales change, subject to so-called scaling laws. It's crucial to know the details of these laws, so that mathematical models can be properly formulated and analysed, and the phenomena in question can be more deeply understood. In this 2003 book, the author describes and teaches the art of discovering scaling laws, starting from dimensional analysis and physical similarity, which are here given a modern treatment. He demonstrates the concepts of intermediate asymptotics and the renormalisation group as natural attributes of self-similarity and shows how and when these notions and tools can be used to tackle the task at hand, and when they cannot. Based on courses taught to undergraduate and graduate students, the book can also be used for self-study by biologists, chemists, astronomers, engineers and geoscientists.

Atmospheric and Oceanic Fluid Dynamics

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Publisher : Cambridge University Press
ISBN 13 : 1139459961
Total Pages : 772 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Atmospheric and Oceanic Fluid Dynamics by : Geoffrey K. Vallis

Download or read book Atmospheric and Oceanic Fluid Dynamics written by Geoffrey K. Vallis and published by Cambridge University Press. This book was released on 2006-11-06 with total page 772 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fluid dynamics is fundamental to our understanding of the atmosphere and oceans. Although many of the same principles of fluid dynamics apply to both the atmosphere and oceans, textbooks tend to concentrate on the atmosphere, the ocean, or the theory of geophysical fluid dynamics (GFD). This textbook provides a comprehensive unified treatment of atmospheric and oceanic fluid dynamics. The book introduces the fundamentals of geophysical fluid dynamics, including rotation and stratification, vorticity and potential vorticity, and scaling and approximations. It discusses baroclinic and barotropic instabilities, wave-mean flow interactions and turbulence, and the general circulation of the atmosphere and ocean. Student problems and exercises are included at the end of each chapter. Atmospheric and Oceanic Fluid Dynamics: Fundamentals and Large-Scale Circulation will be an invaluable graduate textbook on advanced courses in GFD, meteorology, atmospheric science and oceanography, and an excellent review volume for researchers. Additional resources are available at www.cambridge.org/9780521849692.

Smoothed Particle Hydrodynamics

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Publisher : Springer
ISBN 13 : 3030007731
Total Pages : 167 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Smoothed Particle Hydrodynamics by : Carlos Alberto Dutra Fraga Filho

Download or read book Smoothed Particle Hydrodynamics written by Carlos Alberto Dutra Fraga Filho and published by Springer. This book was released on 2018-11-30 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on results obtained over a decade of study and research. It questions the use of dynamic molecular models in the continuum scale providing alternative solutions to open problems in the literature. It provides a physical-mathematical understanding of the differential equations that govern fluid flow and energy transport, serving as a reference to the application of Smoothed Particle Hydrodynamics in continuum fluid mechanics and transport phenomena. The physical-mathematical modelling of the problems in the continuum scale and the employment of the SPH method for solving the equations are presented. Examples of applications in continuum fluid mechanics with numerical results and discussions are also provided. This literature defends the concepts of continuum mechanics and the application of boundary treatment techniques that do not violate the laws of physics.

Scaling, Self-similarity, and Intermediate Asymptotics

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Author :
Publisher :
ISBN 13 : 9781107050242
Total Pages : 386 pages
Book Rating : 4.0/5 (52 download)

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Book Synopsis Scaling, Self-similarity, and Intermediate Asymptotics by : G. I. Barenblatt

Download or read book Scaling, Self-similarity, and Intermediate Asymptotics written by G. I. Barenblatt and published by . This book was released on 1996 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scaling, Self-similarity, and Intermediate Asymptotics

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Author :
Publisher : Cambridge University Press
ISBN 13 : 9780521435161
Total Pages : 408 pages
Book Rating : 4.4/5 (351 download)

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Book Synopsis Scaling, Self-similarity, and Intermediate Asymptotics by : Grigory Isaakovich Barenblatt

Download or read book Scaling, Self-similarity, and Intermediate Asymptotics written by Grigory Isaakovich Barenblatt and published by Cambridge University Press. This book was released on 1996-12-12 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scaling (power-type) laws reveal the fundamental property of the phenomena--self similarity. Self-similar (scaling) phenomena repeat themselves in time and/or space. The property of self-similarity simplifies substantially the mathematical modeling of phenomena and its analysis--experimental, analytical and computational. The book begins from a non-traditional exposition of dimensional analysis, physical similarity theory and general theory of scaling phenomena. Classical examples of scaling phenomena are presented. It is demonstrated that scaling comes on a stage when the influence of fine details of initial and/or boundary conditions disappeared but the system is still far from ultimate equilibrium state (intermediate asymptotics). It is explained why the dimensional analysis as a rule is insufficient for establishing self-similarity and constructing scaling variables. Important examples of scaling phenomena for which the dimensional analysis is insufficient (self-similarities of the second kind) are presented and discussed. A close connection of intermediate asymptotics and self-similarities of the second kind with a fundamental concept of theoretical physics, the renormalization group, is explained and discussed. Numerous examples from various fields--from theoretical biology to fracture mechanics, turbulence, flame propagation, flow in porous strata, atmospheric and oceanic phenomena are presented for which the ideas of scaling, intermediate asymptotics, self-similarity and renormalization group were of decisive value in modeling.