Wave And Stability In Fluids
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| Author | : Din-Yu Hsieh |
| Publisher | : World Scientific |
| Total 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.
| Author | : Giovanni P. Galdi |
| Publisher | : Springer |
| Total 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.
| Author | : International Centre for Mechanical Sciences |
| Publisher | : Springer |
| Total 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.
| Author | : Sir M. J. Lighthill |
| Publisher | : Cambridge University Press |
| Total Pages | : 528 |
| Release | : 2001-11-15 |
| Genre | : Mathematics |
| ISBN | : 9780521010450 |
A comprehensive textbook in which the author describes the science of waves in liquids and gases. Drawing on a subject of enormous extent and variety, he provides his readers with a thorough analysis of the most important and representative types of waves including sound waves, shock waves, waterwaves of all kinds, and the so-called internal waves (inside atmospheres and oceans) due to intensity stratification. Emphasis throughout is on the most generally useful fundamental ideas of wave science, including the principles of how waves interact with flows. This standard work on one of the great subdivisions of the dynamics of fluids is lucidly written and will be invaluable to engineers, physicists, geophysicists, applied mathematicians or any research worker concerned with wave motions or fluid fllows. It is especially suitable as a textbook for courses at the final year undergraduate or graduate level.
| 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 | : Alex D. D. Craik |
| Publisher | : Cambridge University Press |
| Total Pages | : 340 |
| Release | : 1988-07-07 |
| Genre | : Mathematics |
| ISBN | : 9780521368292 |
This up-to-date and comprehensive account of theory and experiment on wave-interaction phenomena covers fluids both at rest and in their shear flows. It includes, on the one hand, water waves, internal waves, and their evolution, interaction, and associated wave-driven means flow and, on the other hand, phenomena on nonlinear hydrodynamic stability, especially those leading to the onset of turbulence. This study provide a particularly valuable bridge between these two similar, yet different, classes of phenomena. It will be of value to oceanographers, meteorologists, and those working in fluid mechanics, atmospheric and planetary physics, plasma physics, aeronautics, and geophysical and astrophysical fluid dynamics.
| Author | : Brian Straughan |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 445 |
| Release | : 2008-12-10 |
| Genre | : Technology & Engineering |
| ISBN | : 0387765433 |
This book describes several tractable theories for fluid flow in porous media. The important mathematical quations about structural stability and spatial decay are address. Thermal convection and stability of other flows in porous media are covered. A chapter is devoted to the problem of stability of flow in a fluid overlying a porous layer. Nonlinear wave motion in porous media is analysed. In particular, waves in an elastic body with voids are investigated while acoustic waves in porous media are also analysed in some detail. A chapter is enclosed on efficient numerical methods for solving eigenvalue problems which occur in stability problems for flows in porous media. Brian Straughan is a professor at the Department of Mathemactical Sciences at Durham University, United Kingdom.
| Author | : Giovanni Galdi |
| Publisher | : Springer |
| Total Pages | : 159 |
| Release | : 2014-05-04 |
| Genre | : Technology & Engineering |
| ISBN | : 3709130042 |
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.
| Author | : Ashutosh Sharma |
| Publisher | : Alpha Science Int'l Ltd. |
| Total Pages | : 532 |
| Release | : 2006 |
| Genre | : Science |
| ISBN | : |
Contributed papers presented at a seminar held during September 1-4, 2006.
| Author | : John Grue |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 423 |
| Release | : 2012-12-06 |
| Genre | : Technology & Engineering |
| ISBN | : 9400902530 |
In December 1994 Professor Enok Palm celebrated his 70th birthday and retired after more than forty years of service at the University of Oslo. In view of his outstanding achievements as teacher and scientist a symposium entitled "Waves and Nonlinear Processes in Hydrodynamics" was held in his honour from the 17th to the 19th November 1994 in the locations of The Norwegian Academy of Science and Letters in Oslo. The topics of the symposium were chosen to cover Enok's broad range of scientific work, interests and accomplishments: Marine hydrodynamics, nonlinear wave theory, nonlinear stability, thermal convection and geophys ical fluid dynamics, starting with Enok's present activity, ending with the field where he began his career. This order was followed in the symposium program. The symposium had two opening lectures. The first looked back on the history of hydrodynamic research at the University of Oslo. The second focused on applications of hydrodynamics in the offshore industry today.
