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.

Breakup of Liquid Sheets and Jets

Breakup of Liquid Sheets and Jets
Author: S. P. Lin
Publisher: Cambridge University Press
Total Pages: 287
Release: 2003-08-21
Genre: Technology & Engineering
ISBN: 1139439782

This book, first published in 2003, is an exposition of what we knew about the physics underlying the onset of instability in liquid sheets and jets. Wave motion and breakup phenomena subsequent to the onset of instability are carefully explained. Physical concepts are established through rigorous mathematics, accurate numerical analyses and comparison of theory with experiment. Exercises are provided for students, and these help familiarize the reader with the required mathematical tools. This book further provides a rational basis for designing equipment and processes involving the phenomena of sheet and jet breakup. Researchers interested in transition to turbulence, hydrodynamic stability or combustion will find this book a highly useful resource, whether their background lies in engineering, physics, chemistry, biology, medicine or applied mathematics.

Hydrodemolition of Concrete Surfaces and Reinforced Concrete

Hydrodemolition of Concrete Surfaces and Reinforced Concrete
Author: Andreas Momber
Publisher: Elsevier
Total Pages: 285
Release: 2011-04-18
Genre: Technology & Engineering
ISBN: 0080534309

Industrial manufacturers are increasingly using very high pressure water jets for the cleaning and breaking up of materials. Until recently, the demolition of reinforced concrete has been a long and difficult process, but developments in the design and use of high pressure water jets have made this a cleaner and faster process with many other applications in civil, construction and environmental engineering. Andreas Momber, a well known expert in water jet and abrasive water jet cutting technology has produced a unique and comprehensive book dealing with the fundamentals of the hydrodemolition process. Coverage includes equipment, processes, surface quality aspects, demolition with abrasive water jets, pulsed liquid jets, alternative applications and safety aspects. This book will help you to...•Understand the hydrodemolition process and its rewards, enabling you to achieve a cleaner, faster process in the demolition of concrete surfaces and reinforced concrete. •Learn when and where hydrodemolition can be used •Understand the costs, advantages and safety aspects involved•Apply the technique to new applications in your industry such as cleaning and waste management•Purchase the appropriate equipment, cutting time and maintenance costs* Written by a well known expert in the field of water jet and abrasive water jet cutting technology* First comprehensive book in the growing area of hydrodemolition of concrete surfaces and reinforced concrete * Coverage includes the theory and practice of the hydrodemolition process

Handbook of Atomization and Sprays

Handbook of Atomization and Sprays
Author: Nasser Ashgriz
Publisher: Springer Science & Business Media
Total Pages: 922
Release: 2011-02-18
Genre: Technology & Engineering
ISBN: 1441972641

Atomization and sprays are used in a wide range of industries: mechanical, chemical, aerospace, and civil engineering; material science and metallurgy; food; pharmaceutical, forestry, environmental protection; medicine; agriculture; meteorology and others. Some specific applications are spray combustion in furnaces, gas turbines and rockets, spray drying and cooling, air conditioning, powdered metallurgy, spray painting and coating, inhalation therapy, and many others. The Handbook of Atomization and Sprays will bring together the fundamental and applied material from all fields into one comprehensive source. Subject areas included in the reference are droplets, theoretical models and numerical simulations, phase Doppler particle analysis, applications, devices and more.

Electrically Induced Vortical Flows

Electrically Induced Vortical Flows
Author: V. Bojarevi°s
Publisher: Springer Science & Business Media
Total Pages: 408
Release: 1988-11-30
Genre: Science
ISBN: 9789024737123

Every scientific subject probably conceals unexplored or little investigated strata, which may show up at the proper time when favourable conditions coincide (practical demands, a circle of scientists prepared to recognize the novelty and capable of giving impetus to the development of a new theory, etc.). Something like this occurred in early seventies for magnetohydrodynamics, which at the time was considered to be a relatively complete branch of hydro dynamics with no apparent broad, unexplored areas. It was unexpectedly realized that, in addition to the traditional methods of affecting an electrically conducting medium, there is yet another way, one which subsequently lead to a new direction in magnetohydrodynamics. In the Soviet scientific literature this direction has been termed 'electrically induced vortex flows', the essence of which are hydrodynamic effects due to the interaction of an electric current passing through the fluid with its own magnetic field. It cannot be said that this direction was created ex nihilo: individual studies related to the flows driven in a current-carrying medium in the absence of external magnetic fields appeared in the sixties; in the thirties the flows them selves were known to take place within electrical arcs; and yet the first observa tions on the behaviour of liquid current-carrying conductors were made at the beginning of this century.

Similarity Solutions for the Boundary Layer Flow and Heat Transfer of Viscous Fluids, Nanofluids, Porous Media, and Micropolar Fluids

Similarity Solutions for the Boundary Layer Flow and Heat Transfer of Viscous Fluids, Nanofluids, Porous Media, and Micropolar Fluids
Author: John H. Merkin
Publisher: Academic Press
Total Pages: 294
Release: 2021-09-09
Genre: Technology & Engineering
ISBN: 0128232056

Similarity Solutions for the Boundary Layer Flow and Heat Transfer of Viscous Fluids, Nanofluids, Porous Media, and Micropolar Fluids presents new similarity solutions for fluid mechanics problems, including heat transfer of viscous fluids, boundary layer flow, flow in porous media, and nanofluids due to continuous moving surfaces. After discussing several examples of these problems, similarity solutions are derived and solved using the latest proven methods, including bvp4c from MATLAB, the Keller-box method, singularity methods, and more. Numerical solutions and asymptotic results for limiting cases are also discussed in detail to investigate how flow develops at the leading edge and its end behavior. Detailed discussions of mathematical models for boundary layer flow and heat transfer of micro-polar fluid and hybrid nanofluid will help readers from a range of disciplinary backgrounds in their research. Relevant background theory will also be provided, thus helping readers solidify their computational work with a better understanding of physical phenomena. - Provides mathematical models that address important research themes, such as boundary layer flow and heat transfer of micro-polar fluid and hybrid nanofluid - Gives detailed numerical explanations of all solution procedures, including bvp4c from MATLAB, the Keller-box method, and singularity methods - Includes examples of computer code that will save readers time in their own work

Mathematical Modeling for Intelligent Systems

Mathematical Modeling for Intelligent Systems
Author: Mukesh Kumar Awasthi
Publisher: CRC Press
Total Pages: 259
Release: 2022-07-29
Genre: Computers
ISBN: 1000618374

Mathematical Modeling for Intelligent Systems: Theory, Methods, and Simulation aims to provide a reference for the applications of mathematical modeling using intelligent techniques in various unique industry problems in the era of Industry 4.0. Providing a thorough introduction to the field of soft-computing techniques, this book covers every major technique in artificial intelligence in a clear and practical style. It also highlights current research and applications, addresses issues encountered in the development of applied systems, and describes a wide range of intelligent systems techniques, including neural networks, fuzzy logic, evolutionary strategy, and genetic algorithms. This book demonstrates concepts through simulation examples and practical experimental results. Key Features: • Offers a well-balanced mathematical analysis of modeling physical systems • Summarizes basic principles in differential geometry and convex analysis as needed • Covers a wide range of industrial and social applications and bridges the gap between core theory and costly experiments through simulations and modeling • Focuses on manifold ranging from stability of fluid flows, nanofluids, drug delivery, and security of image data to pandemic modeling, etc. This book is primarily aimed at advanced undergraduates and postgraduate students studying computer science, mathematics, and statistics. Researchers and professionals will also find this book useful.

Asymptotic Theory of Supersonic Viscous Gas Flows

Asymptotic Theory of Supersonic Viscous Gas Flows
Author: Vladimir Neyland
Publisher: Butterworth-Heinemann
Total Pages: 563
Release: 2008-02-06
Genre: Science
ISBN: 0080555772

This is the first book in English devoted to the latest developments in fluid mechanics and aerodynamics. Written by the leading authors in the field, based at the renowned Central Aerohydrodynamic Institute in Moscow, it deals with viscous gas flow problems that arise from supersonic flows. These complex problems are central to the work of researchers and engineers dealing with new aircraft and turbomachinery development (jet engines, compressors and other turbine equipment). The book presents the latest asymptotical models, simplified Navier-Stokes equations and viscous-inviscid interaction theroies and will be of critical interest to researchers, engineers, academics and advanced graduate students in the areas of fluid mechanics, compressible flows, aerodynamics and aircraft design, applied mathematics and computational fluid dynamics. - The first book in English to cover the latest methodology for incopressible flow analysis of high speed aerodynamics, an essential topic for those working on new generation aircraft and turbomachinery - Authors are internationally recognised as the leading figures in the field - Includes a chapter introducing asymptotical methods to enable advanced level students to use the book