Download or read book Stability Characteristics for Flows of the Vortex Sheet Type written by Y. T. Fung and published by . This book was released on 1982 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interfacial conditions for a cylindrical vortex sheet or a cylindrical fluid layer obtained earlier are examined further for the case of incompressible fluids. Only temporal perturbations are considered. Unlike the single role of destabilization played by the velocity in two-dimensional stratified flows or axisymmetric jet flows, the rotating velocity in vortex motions plays a dual role in flow stability. The radial velocity gradient generates tangential shear and the fluid rotation creates a centrifugal force field. While the former always destabilizes the flow, the latter can either stabilize or destabilize the flow depending upon whether the resultant force field is centrifugally stable or unstable. These characteristics are demonstrated by examining three general types of perturbations. We further show that deformations of the vortex sheet or the fluid layer affect the flow field in two ways: disturbing the total pressure field and perturbing the centrifugal force field created by the azimuthal components of the velocity and magnetic fields. The latter, even though it seems to be straightforward, has often been overlooked in previous analyses. It is shown that failure to consider such a perturbation to a stable centrifugal force field will lead to the improper destabilization of modes with smaller axial and azimuthal wave numbers.
Download or read book Unsteady Combustor Physics written by Tim C. Lieuwen and published by Cambridge University Press. This book was released on 2012-08-27 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developing clean, sustainable energy systems is a pre-eminent issue of our time. Most projections indicate that combustion-based energy conversion systems will continue to be the predominant approach for the majority of our energy usage. Unsteady combustor issues present the key challenge associated with the development of clean, high-efficiency combustion systems such as those used for power generation, heating or propulsion applications. This comprehensive study is unique, treating the subject in a systematic manner. Although this book focuses on unsteady combusting flows, it places particular emphasis on the system dynamics that occur at the intersection of the combustion, fluid mechanics and acoustic disciplines. Individuals with a background in fluid mechanics and combustion will find this book to be an incomparable study that synthesises these fields into a coherent understanding of the intrinsically unsteady processes in combustors.
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1990 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Interfacial Conditions of a Cylindrical Vortex Sheet written by Y. T. Fung and published by . This book was released on 1980 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interfacial conditions for a cylindrical vortex sheet or a cylindrical fluid layer with radius-dependent density, velocity and magnetic fields are derived for isentrioptic compressible swirling flows subjected to arbitrary disturbances. Surface tension in included for possible immiscible fluids. These conditions are valid for both spatially and temporally growing waves and for flow profiles with or without discontinuities. The deformation of the sheet or layer affects the flow in two ways: perturbing the total presure field and disturbing the centrifugal force field created by the azimuthal components of the velocity and the magnetic flux. It is shown, through the derivations of the interfacial conditions, the the Rayleigh-Synge and the Alfven discriminant are in fact a differential representation of the centrifugal force field. Both discriminants play a crucial role in the stability characteristics of hydromagnetic swirling flows. As supported by a previously proposed mechanisms, instabilities of such flows are both of centrifugal and of shear origin, the generalized Michael condition being a criterion for centrifugal stability. Centrifugal forces and velocity gradients affect flow characteristics through their interaction with the Lagrangain displacement. For centrifugally stable profiles, unstable waves with large numbers may be stabilized by centrifugal effects. This suggests a mechanism for the dilemma that the most unstable waves for flows of vortex sheet types correspond to the smallest-scale disturbances that are not observed in experiments. (Author).
Download or read book Introduction to Hydrodynamic Stability written by P. G. Drazin and published by Cambridge University Press. This book was released on 2002-09-09 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Stability of a Vortex Sheet in Non equilibrium Flows written by K. C. Wang and published by . This book was released on 1960 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this report the stability of a plane vortex sheet between two uniform streams with respect to small disturbances is examined when the two media are dissociating diatomic gases such as oxygen and nitrogen. For the equilibrium and frozen cases, it is found that the eigenvalue equation is formally identical with that of the conventional case, and the stability is decreased due to the dissociation. For the non-equilibrium case, the eigenvalue equation is a complex one and depends on the wave number of the disturbances, the vortex sheet is shown to be always unstable. Included also is a discussion of the stability of a vortex sheet between two equal but opposite steady streams from the consideration of pressure distribution.
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1972 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stability Characteristics of Counter rotating Vortex Pairs in the Wakes of Triangular flapped Airfoils written by Jason Marc Ortega and published by . This book was released on 2001 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Paper written by and published by . This book was released on 1992 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Calculations of the Stability of Some Axisymmetric Flows Proposed as a Model of Vortex Breakdown written by Nessan Mac Giolla Mhuiris and published by . This book was released on 1986 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Handbook of Fluid Dynamics written by Richard W. Johnson and published by CRC Press. This book was released on 2016-04-06 with total page 1544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Fluid Dynamics offers balanced coverage of the three traditional areas of fluid dynamics—theoretical, computational, and experimental—complete with valuable appendices presenting the mathematics of fluid dynamics, tables of dimensionless numbers, and tables of the properties of gases and vapors. Each chapter introduces a different fluid dynamics topic, discusses the pertinent issues, outlines proven techniques for addressing those issues, and supplies useful references for further research. Covering all major aspects of classical and modern fluid dynamics, this fully updated Second Edition: Reflects the latest fluid dynamics research and engineering applications Includes new sections on emerging fields, most notably micro- and nanofluidics Surveys the range of numerical and computational methods used in fluid dynamics analysis and design Expands the scope of a number of contemporary topics by incorporating new experimental methods, more numerical approaches, and additional areas for the application of fluid dynamics Handbook of Fluid Dynamics, Second Edition provides an indispensable resource for professionals entering the field of fluid dynamics. The book also enables experts specialized in areas outside fluid dynamics to become familiar with the field.
Download or read book Stability of Parallel Flows written by R. Betchov and published by Elsevier. This book was released on 2012-12-02 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Energy a Continuing Bibliography with Indexes written by and published by . This book was released on 1979 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Shallow Flows written by Gerhard H. Jirka and published by Taylor & Francis. This book was released on 2004-09-15 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents the key findings of the International Symposium held in Delft in 2003, which explored the process of shallow flows. Shallow flows are found in lowland rivers, lakes, estuaries, bays, coastal areas and in density-stratified atmospheres, and may be observed in puddles, as in oceans. They impact on the life and work of a wide variety of readers, who are here provided with a clear overview of the subject. Shallow flows are intrinsically turbulent. On one hand, there are strongly three-dimensional, small-scale turbulent motions and on the other hand, large-scale quasi-two-dimensional turbulence. This book explains and examines these differences and their effects with sections on transport processes in shallow flows; shallow jets, wakes and mixing layers; stratified and rotating flows in ocean and atmosphere; river and channel flows; and numerical modelling and turbulence closure techniques. The reader is provided with the pick of current studies and a fresh approach to the subject, with expert examination of a fascinating and crucial phenomenon of our world's water systems.
Download or read book Government Reports Annual Index written by and published by . This book was released on 1983 with total page 1088 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sections 1-2. Keyword Index.--Section 3. Personal author index.--Section 4. Corporate author index.-- Section 5. Contract/grant number index, NTIS order/report number index 1-E.--Section 6. NTIS order/report number index F-Z.
Download or read book Fluid Mechanics written by Pijush K. Kundu and published by Academic Press. This book was released on 2012 with total page 919 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Advances in Applied Mechanics written by and published by Academic Press. This book was released on 1966-01-01 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Applied Mechanics
