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| Author | : Natalie Anne Culverhouse |
| Publisher | : |
| Total Pages | : 280 |
| Release | : 2009 |
| Genre | : |
| ISBN | : |
| Author | : Mohamad Mokhtar Ali Arebi |
| Publisher | : |
| Total Pages | : 210 |
| Release | : 1996 |
| Genre | : |
| ISBN | : |
| Author | : R. Betchov |
| Publisher | : Elsevier |
| Total Pages | : 345 |
| Release | : 2012-12-02 |
| Genre | : Science |
| ISBN | : 0323162606 |
Stability of Parallel Flows provides information pertinent to hydrodynamical stability. This book explores the stability problems that occur in various fields, including electronics, mechanics, oceanography, administration, economics, as well as naval and aeronautical engineering. Organized into two parts encompassing 10 chapters, this book starts with an overview of the general equations of a two-dimensional incompressible flow. This text then explores the stability of a laminar boundary layer and presents the equation of the inviscid approximation. Other chapters present the general equations governing an incompressible three-dimensional flow, which requires the massive use of a computer. This book discusses as well the experimental studies on the oscillations of the boundary layer wherein the mean flow is affected by the presence of oscillations. The final chapter describes the concept of the stability of turbulent flows found in boundary layers, wakes, and jets. This book is a valuable resource for physicists, mathematicians, engineers, scientists, and researchers.
| Author | : P. G. Drazin |
| Publisher | : Cambridge University Press |
| Total Pages | : 278 |
| Release | : 2002-09-09 |
| Genre | : Science |
| ISBN | : 1316582876 |
Instability of flows and their transition to turbulence are widespread phenomena in engineering and the natural environment, and are important in applied mathematics, astrophysics, biology, geophysics, meteorology, oceanography and physics as well as engineering. This is a textbook to introduce these phenomena at a level suitable for a graduate course, by modelling them mathematically, and describing numerical simulations and laboratory experiments. The visualization of instabilities is emphasized, with many figures, and in references to more still and moving pictures. The relation of chaos to transition is discussed at length. Many worked examples and exercises for students illustrate the ideas of the text. Readers are assumed to be fluent in linear algebra, advanced calculus, elementary theory of ordinary differential equations, complex variables and the elements of fluid mechanics. The book is aimed at graduate students but will also be very useful for specialists in other fields.
| Author | : Peter J. Schmid |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 561 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 1461301858 |
A detailed look at some of the more modern issues of hydrodynamic stability, including transient growth, eigenvalue spectra, secondary instability. It presents analytical results and numerical simulations, linear and selected nonlinear stability methods. By including classical results as well as recent developments in the field of hydrodynamic stability and transition, the book can be used as a textbook for an introductory, graduate-level course in stability theory or for a special-topics fluids course. It is equally of value as a reference for researchers in the field of hydrodynamic stability theory or with an interest in recent developments in fluid dynamics. Stability theory has seen a rapid development over the past decade, this book includes such new developments as direct numerical simulations of transition to turbulence and linear analysis based on the initial-value problem.
| Author | : |
| Publisher | : |
| Total Pages | : 38 |
| Release | : 1995 |
| Genre | : |
| ISBN | : |
| Author | : National Aeronautics and Space Adm Nasa |
| Publisher | : Independently Published |
| Total Pages | : 38 |
| Release | : 2018-10-21 |
| Genre | : |
| ISBN | : 9781729036778 |
The nonlinear evolution of long wavelength non-stationary cross-flow vortices in a compressible boundary layer is investigated and the work extends that of Gajjar (1994) to flows involving multiple critical layers. The basic flow profile considered in this paper is that appropriate for a fully three-dimensional boundary layer with O(1) Mach number and with wall heating or cooling. The governing equations for the evolution of the cross-flow vortex are obtained and some special cases are discussed. One special case includes linear theory where exact analytic expressions for the growth rate of the vortices are obtained. Another special case is a generalization of the Bassom & Gajjar (1988) results for neutral waves to compressible flows. The viscous correction to the growth rate is derived and it is shown how the unsteady nonlinear critical layer structure merges with that for a Haberman type of viscous critical layer. Gajjar, J. S. B. Unspecified Center NCC3-370; RTOP 505-90-5K
| Author | : Precious Sibanda |
| Publisher | : |
| Total Pages | : 201 |
| Release | : 1996 |
| Genre | : |
| ISBN | : |
| Author | : A. Georgescu |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 306 |
| Release | : 2013-04-17 |
| Genre | : Mathematics |
| ISBN | : 9401718148 |
The great number of varied approaches to hydrodynamic stability theory appear as a bulk of results whose classification and discussion are well-known in the literature. Several books deal with one aspect of this theory alone (e.g. the linear case, the influence of temperature and magnetic field, large classes of globally stable fluid motions etc.). The aim of this book is to provide a complete mathe matical treatment of hydrodynamic stability theory by combining the early results of engineers and applied mathematicians with the recent achievements of pure mathematicians. In order to ensure a more operational frame to this theory I have briefly outlined the main results concerning the stability of the simplest types of flow. I have attempted several definitions of the stability of fluid flows with due consideration of the connections between them. On the other hand, as the large number of initial and boundary value problems in hydrodynamic stability theory requires appropriate treat ments, most of this book is devoted to the main concepts and methods used in hydrodynamic stability theory. Open problems are expressed in both mathematical and physical terms.
| Author | : John Arthur Fox |
| Publisher | : |
| Total Pages | : 184 |
| Release | : 1960 |
| Genre | : Boundary layer |
| ISBN | : |
