Download or read book Variational and Stability Properties of Swirling Flows written by Lindsay MacKinnon Hamilton Douglas and published by . This book was released on 1983 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Structure and Stability of Some Swirling Flows written by Amrish Kumar Garg and published by . This book was released on 1993 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Two Theoretical Studies of Stability of Swirling Flows written by Zhigang Yang and published by . This book was released on 1990 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Nonlinear Stability of Axisymmetric Swirling Flow written by Andrew John Szeri and published by . This book was released on 1988 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Equilibrium and Stability in Vortex and Wave Flows written by Paolo Luzzatto Fegiz and published by . This book was released on 2011 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation focuses on the development of theoretical and numerical methodologies to study equilibrium and stability in conservative fluid flows. These techniques include: a bifurcation-diagram approach to obtain the stability properties of families of steady flows; a theory of Hamiltonian resonance for vortex arrays; an efficient numerical method for computing vortices with arbitrary symmetry; and a variational principle for compressible, barotropic or baroclinic flows. We employ these theoretical and numerical approaches to obtain new results regarding the structure and stability of several fundamental vortex and wave flows. The applications that we examine involve simple representations of fundamental fluid problems, which may be regarded as prototypical of flows associated with transport and mixing in the ocean and in the atmosphere, with aquatic animal propulsion, and with the dynamics of vortices in quantum condensates. We address two issues affecting the use of a variational argument to determine stability of families of steady flows. By building on ideas from bifurcation theory, we link turning points in a velocity-impulse diagram to gains or losses of stability. We introduce concepts from imperfection theory into these problems, enabling us to reveal hidden solution branches. The resulting methodology detects exchanges of stability through an "imperfect velocity-impulse" (IVI) diagram. We apply the IVI diagram approach to wide variety of vortex and wave flows. These examples include elliptical vortices, translating and ro- tating vortex pairs, single and double vortex rows, distributed vortices, as well as steep gravity waves. For a few of the flows considered, our work yields the first available stability boundaries. In addition, the IVI diagram methodology leads us to the discovery of several new families of steady flows, which exhibit lower symmetry. We next examine conditions for the development of an oscillatory instability in two-dimensional vortex arrays. By building on the theory of Krein signatures for Hamiltonian systems, we show that a resonant instability cannot occur for one or two vortices. To predict the onset of resonance for three or more vortices, we develop a simple approximate technique, which compares favorably with full analyses. In addition, we propose a simple technique to immediately check the accuracy of a detailed linear stability analysis. All of the uniform-vorticity equilibria analyzed in this dissertation were computed using a newly developed numerical approach. This methodology, which is based on Newton iteration, employs a new discretization to radically increases the efficiency of the calculation. In addition, we introduce a procedure to remove the degeneracies in the steady vorticity equation, thus ensuring convergence for general vortex configurations. Our method enables the computation, for the first time, of steady vortices that do not exhibit any geometric symmetry, in an unbounded flow. Finally, we re-examine the variational principle that underpins the IVI diagram stability approach. We show that this principle may be obtained, in a conceptually straightforward manner, by first considering the classical principle of virtual work. This link enables us to readily formulate generalizations to compressible, barotropic and baroclinic flows.

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1971 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Stability of Compressible Swirling Flows written by Jillian Ann Kate Stott and published by . This book was released on 1993 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Hydrodynamic Stability written by P. G. Drazin and published by Cambridge University Press. This book was released on 2004-08-05 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hydrodynamic stability is of fundamental importance in fluid mechanics and is concerned with the problem of transition from laminar to turbulent flow. Drazin and Reid emphasise throughout the ideas involved, the physical mechanisms, the methods used, and the results obtained, and, wherever possible, relate the theory to both experimental and numerical results. A distinctive feature of the book is the large number of problems it contains. These problems not only provide exercises for students but also provide many additional results in a concise form. This new edition of this celebrated introduction differs principally by the inclusion of detailed solutions for those exercises, and by the addition of a Foreword by Professor J. W. Miles.

Download or read book A Variational Method for Investigating the Stability of Parallel Flows written by Lester Hsin-Pei Lee and published by . This book was released on 1964 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Swirl Flows written by Ashwani K. Gupta and published by Routledge. This book was released on 1984 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The BRITS Index Subject index written by British Theses Service and published by . This book was released on 1989 with total page 1156 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Spatiotemporal Coherence as an Indicator of the Stability in Swirling Flows written by Oscar Farias Moguel and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The BRITS Index Title index written by British Theses Service and published by . This book was released on 1989 with total page 1158 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book On the Stability of Swirling Flows in a Finite Pipe written by S. Wang and published by . This book was released on 2007 with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book On the stability oof swirling flows in a finite pipe written by S. Wang and published by . This book was released on 2007 with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Experimental and Computational Investigations in Engineering written by Nenad Mitrovic and published by Springer Nature. This book was released on 2020-09-04 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings book is a collection of high-quality peer-reviewed research papers presented at the International Conference of Experimental and Numerical Investigations and New Technologies (CNNTech2020) held at Zlatibor, Serbia, from 29th June to 2nd July 2020. The book discusses a wide variety of industrial, engineering and scientific applications of the engineering techniques. Researchers from academia and industry present their original work and exchange ideas, experiences, information, techniques, applications and innovations in the field of mechanical engineering, materials science, chemical and process engineering, experimental techniques, numerical methods and new technologies.

Download or read book Nonlinear Stability of Axisymmetric Swirling Flows written by A. Z. Szeri and published by . This book was released on 1988 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: