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Fields, Flows and Waves

Author: David F. Parker
Publisher: Springer Science & Business Media
ISBN: 1447100190
Category : Mathematics
Languages : en
Pages : 270

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Book Description
This book serves as an introduction to the use of mathematics in describing collective phenomena in physics and biology. Derived from a course of innovative lectures, the book shows students early in their studies how many of the topics they have encountered – partial differential equations, differential equations, Fourier series, and linear algebra – are useful in constructing, analysing and interpreting phenomena present in the real world. Throughout, ideas are developed using worked examples and exercises with solution. The text does not assume a strong background in physics.

Fields, Flows and Waves

Author: David F. Parker
Publisher: Springer Science & Business Media
ISBN: 1447100190
Category : Mathematics
Languages : en
Pages : 270

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Fields, Flows and Waves

Author: David Parker
Publisher: Springer
ISBN: 9781447100201
Category : Mathematics
Languages : en
Pages : 270

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Fields, Flows,And Waves: An Introduction To Continuum Models

Author: Parker
Publisher:
ISBN: 9788181281647
Category :
Languages : en
Pages : 284

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Book Description

Similitude for Normal Shock Waves in Nonequilibrium Flows

Author: Ralph E. Thomas
Publisher:
ISBN:
Category : Shock waves
Languages : en
Pages : 39

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Book Description
Similarity parameters are developed which govern the length of nonequilibrium zones behind normal shock waves. Non-equilibrium effects produced by both vibrational relaxation and dissociation are considered. The parameters can also account for arbitrary levels of free-stream vibrational energy or dissociation level. The validity of the parameters is examined using numerical computations of the properties of the non-equilibrium fields. These computations are made with the aid of experimentally based rate expressions. The parameters, when written in a form describing the variation of non-equilibrium zone length with Mach number, are shown to have acceptable accuracy. (Author).

Waves in Flows

Author: Tomáš Bodnár
Publisher: Springer Nature
ISBN: 3030678458
Category : Mathematics
Languages : en
Pages : 353

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Book Description
This volume offers an overview of the area of waves in fluids and the role they play in the mathematical analysis and numerical simulation of fluid flows. Based on lectures given at the summer school “Waves in Flows”, held in Prague from August 27-31, 2018, chapters are written by renowned experts in their respective fields. Featuring an accessible and flexible presentation, readers will be motivated to broaden their perspectives on the interconnectedness of mathematics and physics. A wide range of topics are presented, working from mathematical modelling to environmental, biomedical, and industrial applications. Specific topics covered include: Equatorial wave–current interactions Water–wave problems Gravity wave propagation Flow–acoustic interactions Waves in Flows will appeal to graduate students and researchers in both mathematics and physics. Because of the applications presented, it will also be of interest to engineers working on environmental and industrial issues.

Study of the Nonequilibrium Flow Field Behind Normal Shock Waves in Carbon Dioxide

Author: John T. Howe
Publisher:
ISBN:
Category : Carbon dioxide
Languages : en
Pages : 39

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Book Description

Quasilinear Hyperbolic Systems, Compressible Flows, and Waves

Author: Vishnu D. Sharma
Publisher: CRC Press
ISBN: 9781439836910
Category : Mathematics
Languages : en
Pages : 282

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Book Description
Filled with practical examples, Quasilinear Hyperbolic Systems, Compressible Flows, and Waves presents a self-contained discussion of quasilinear hyperbolic equations and systems with applications. It emphasizes nonlinear theory and introduces some of the most active research in the field. After linking continuum mechanics and quasilinear partial differential equations, the book discusses the scalar conservation laws and hyperbolic systems in two independent variables. Using the method of characteristics and singular surface theory, the author then presents the evolutionary behavior of weak and mild discontinuities in a quasilinear hyperbolic system. He also explains how to apply weakly nonlinear geometrical optics in nonequilibrium and stratified gas flows and demonstrates the power, generality, and elegance of group theoretic methods for solving Euler equations of gasdynamics involving shocks. The final chapter deals with the kinematics of a shock of arbitrary strength in three dimensions. With a focus on physical applications, this text takes readers on a journey through this fascinating area of applied mathematics. It provides the essential mathematical concepts and techniques to understand the phenomena from a theoretical standpoint and to solve a variety of physical problems.

Shock Waves

Author: Zonglin Jiang
Publisher: Springer Science & Business Media
ISBN: 3540270094
Category : Science
Languages : en
Pages : 1344

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Book Description
The 24th International Symposium on Shock Waves (ISSW24) was held at the Beijing Friendship Hotel during July 11-16, 2004, in Beijing. It was a great pleasure for the Local Organizing Committee to organize the ISSW in China for the first time, because forty-seven years have passed since the First Shock Tube Symposium was held in 1957 at Albuquerque. The ISSW24 had to be postponed for one year because of the SARS outbreak in Beijing shortly before the Symposium was scheduled to be held in 2003, but it has achieved success due to the continuous support and kind understanding from all the delegates. It is very heart-warming to have had such an experience and I am very happy to have served as chairman for the Symposium. I would like to thank all for the contributions and help that they have given us over the past three years, without which we would not have had the Symposium. A total of 460 abstracts were submitted to the ISSW24. Each of the abstracts was evaluated by three members of the Scientific Review Committee and the decision on acceptance wasmade based on the reviewers' reports. 195oral papers,including 9plenary lectures, wereaccepted to be presented in three parallel sessions, and 135poster papers in three dedicated poster sessions. Topics discussed in these papers cover all aspects ofshock wave research.

Propagation of Waves in Shear Flows

Author: Anatoli? L?vovich Fabrikant
Publisher: World Scientific
ISBN: 9789810220525
Category : Science
Languages : en
Pages : 287

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Book Description
A number of well-known theorems of the hydrodynamic theory of stability are interpreted in terms of the interaction of the waves having different energy signs. Attention is drawn to the plasma-hydrodynamic analogy, which is a powerful tool for physical analyses of general mechanisms of wave amplification and absorption in flows. Various wave-flow interaction problems are considered, for instance, sound generation in whistlers, wave scattering and amplification by vortices, methods of wave remote sounding, and some nonlinear dynamical and chaotic phenomena.

Fronts, Waves and Vortices in Geophysical Flows

Author: Jan-Bert Flor
Publisher: Springer Science & Business Media
ISBN: 3642115861
Category : Science
Languages : en
Pages : 192

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Book Description
Most well known structures in planetary atmospheres and the Earth’s oceans are jets or fronts interacting with vortices on a wide range of scales. The transition from one state to another, such as in unbalanced or adjustment flows, involves the generation of waves as well as the interaction of coherent structures with these waves. This book presents a fluid mechanics perspective to the dynamics of fronts and vortices and their interaction with waves in geophysical flows. It provides a basic physical background for modeling coherent structures in a geophysical context, and it gives essential information on advanced topics such as spontaneous wave emission and wavemomentum transfer in geophysical flows. Based on a set of lectures by leading specialists, this text is targeted at graduate students, researchers and engineers in geophysics and environmental fluid mechanics.