Stability and Wave Propagation in Fluids and Solids
Title | Stability and Wave Propagation in Fluids and Solids PDF eBook |
Author | Giovanni P. Galdi |
Publisher | Springer |
Pages | 154 |
Release | 2014-10-08 |
Genre | Technology & Engineering |
ISBN | 9783709130056 |
The content of the volume is constituted by four articles. The first concerns the theory of propagation of plane waves in elastic media. The second treats theoretically the linear, weakly non-linear, and non-linear stability of flows of a viscous incompressible fluid in a diverging channel. The third lecture investigates the mathematical properties of the equations governing the motion of a viscous incompressible second-grade fluid, such as existence, uniqueness of classical solutions and stability of steady-state flows. The last lecture provides some basic results on wave propagation in continuum models. The objective of this book is to emphasize and to compare the various aspects of interest which include the necessary mathematical background, constitutive theories for material of differential type, polarized and shock waves, and second sound in solids at low temperatures.
Stability and Wave Propagation in Fluids and Solids
Title | Stability and Wave Propagation in Fluids and Solids PDF eBook |
Author | International Centre for Mechanical Sciences |
Publisher | Springer |
Pages | 168 |
Release | 1995-04-06 |
Genre | Mathematics |
ISBN |
The content of the volume is constituted by four articles. The first concerns the theory of propagation of plane waves in elastic media. The second treats theoretically the linear, weakly non-linear, and non-linear stability of flows of a viscous incompressible fluid in a diverging channel. The third lecture investigates the mathematical properties of the equations governing the motion of a viscous incompressible second-grade fluid, such as existence, uniqueness of classical solutions and stability of steady-state flows. The last lecture provides some basic results on wave propagation in continuum models. The objective of this book is to emphasize and to compare the various aspects of interest which include the necessary mathematical background, constitutive theories for material of differential type, polarized and shock waves, and second sound in solids at low temperatures.
Wave Propagation in Solids and Fluids
Title | Wave Propagation in Solids and Fluids PDF eBook |
Author | Julian L. Davis |
Publisher | Springer Science & Business Media |
Pages | 396 |
Release | 2012-12-06 |
Genre | Science |
ISBN | 1461238862 |
The purpose of this volume is to present a clear and systematic account of the mathematical methods of wave phenomena in solids, gases, and water that will be readily accessible to physicists and engineers. The emphasis is on developing the necessary mathematical techniques, and on showing how these mathematical concepts can be effective in unifying the physics of wave propagation in a variety of physical settings: sound and shock waves in gases, water waves, and stress waves in solids. Nonlinear effects and asymptotic phenomena will be discussed. Wave propagation in continuous media (solid, liquid, or gas) has as its foundation the three basic conservation laws of physics: conservation of mass, momentum, and energy, which will be described in various sections of the book in their proper physical setting. These conservation laws are expressed either in the Lagrangian or the Eulerian representation depending on whether the boundaries are relatively fixed or moving. In any case, these laws of physics allow us to derive the "field equations" which are expressed as systems of partial differential equations. For wave propagation phenomena these equations are said to be "hyperbolic" and, in general, nonlinear in the sense of being "quasi linear" . We therefore attempt to determine the properties of a system of "quasi linear hyperbolic" partial differential equations which will allow us to calculate the displacement, velocity fields, etc.
Analytical and Numerical Methods for Wave Propagation in Fluid Media
Title | Analytical and Numerical Methods for Wave Propagation in Fluid Media PDF eBook |
Author | K. Murawski |
Publisher | World Scientific |
Pages | 260 |
Release | 2002 |
Genre | Science |
ISBN | 9789812776631 |
This book surveys analytical and numerical techniques appropriate to the description of fluid motion with an emphasis on the most widely used techniques exhibiting the best performance.Analytical and numerical solutions to hyperbolic systems of wave equations are the primary focus of the book. In addition, many interesting wave phenomena in fluids are considered using examples such as acoustic waves, the emission of air pollutants, magnetohydrodynamic waves in the solar corona, solar wind interaction with the planet venus, and ion-acoustic solitons.
Introduction to Wave Propagation in Nonlinear Fluids and Solids
Title | Introduction to Wave Propagation in Nonlinear Fluids and Solids PDF eBook |
Author | D. S. Drumheller |
Publisher | Cambridge University Press |
Pages | 546 |
Release | 1998-02-13 |
Genre | Science |
ISBN | 9780521587464 |
Waves occur widely in nature and have innumerable commercial uses. Pressure waves are responsible for the transmission of speech, bow waves created by meteors can virtually ignite the earth's atmosphere, ultrasonic waves are used for medical imaging, and shock waves are used for the synthesis of new materials. This book provides a thorough, modern introduction to the study of linear and nonlinear waves. Beginning with fundamental concepts of motion, the book goes on to discuss linear and nonlinear mechanical waves, thermodynamics, and constitutive models. It covers gases, liquids, and solids as integral parts of the subject. Among the important areas of research and application are impact analysis, shock wave research, explosive detonation, nonlinear acoustics, and hypersonic aerodynamics. Graduate students, as well as professional engineers and applied physicists, will value this clear, comprehensive introduction to the study of wave phenomena.
Wave and Stability in Fluids
Title | Wave and Stability in Fluids PDF eBook |
Author | Din-Yu Hsieh |
Publisher | World Scientific |
Pages | 432 |
Release | 1994 |
Genre | Science |
ISBN | 9789810218706 |
This graduate level textbook covers the topics of sound waves, water waves and stability problems in fluids. It also touches upon the subject of chaos which is related to stability problems. It aims to lead students in an accessible and efficient way to this important subject area in fluid mechanics and applied mathematics. The emphasis is on gaining an understanding of the essential features of the subject matter, thus often ignoring complicating details which may confuse non-experts. The topics chosen also reflect the personal bias and research activity of the authors.
New Trends in Fluid and Solid Models
Title | New Trends in Fluid and Solid Models PDF eBook |
Author | Michele Ciarletta |
Publisher | World Scientific |
Pages | 196 |
Release | 2010 |
Genre | Science |
ISBN | 9814293210 |
The Proceedings of the 1st Conference on New Trends in Fluid and Solid Models provide an overview of results and new models in fluid dynamics and, In general, In continuum mechanics. The contributions refer in particular to models in continuum mechanics, phase transitions, qualitative analysis for ODEs or PDEs models, Stability in fluids and solids, wave propagation, discontinuity and shock waves, and numerical simulations.