Theory Of Viscous Fluid Jets
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| Author | : L. A. Vulis |
| Publisher | : |
| Total Pages | : 537 |
| Release | : 1967 |
| Genre | : Jets |
| ISBN | : |
The book is devoted to the results of investigations of a broad and widespread category of incompressible fluid motions in the form of laminar and turbulent jets. The development of computational methods applicable to an important type of jet streams and based on a consistent and systematic study of jet flows with a theoretical approach is the aim of the monograph. There are four parts to the book, including a foreword and an introduction. The first part deals with the solutions of jet problems based on the exact Navier-Stokes equations for incompressible fluids and, in particular, with the Landau investigation of the propagation of a submerged axially symmetric viscous fluid jet issuing from a thin tube. The second part contains a detailed analysis of laminar jet streams of an incompressible fluid by methods of boundary layer theory. In addition to free jets flowing into a stationary medium or into homogeneous wake flows, semibounded jets (wall jets) are considered. Turbulent jets of liquids and gases are the subjects of the third part, in which self-similar solutions for free and wall jet sources are investigated. It also contains detailed experimental data obtained under the guidance of one of the authors in thermophysical laboratories in Alma Ata for comparison with the theoretical results. The fourth part deals with certain theoretical and experimental problems of jet streams which may be regarded as complementary to the main topics treated in this book. Among them are complex turbulent jet streams, patterns of diffusion flames, and jets in magnetohydrodynamics. (Author).
| Author | : M. I. Gurevich |
| Publisher | : Academic Press |
| Total Pages | : 602 |
| Release | : 2014-05-12 |
| Genre | : Technology & Engineering |
| ISBN | : 1483261751 |
Theory of Jets in Ideal Fluids focuses on the use of hydrodynamics in the theory of jets in ideal fluids. The publication first offers information on the introduction to the theory of plane and steady jet flows and flow from a vessel. Discussions focus on flow from a rectangular vessel with an orifice at a corner; vessel with a funnel-shaped bottom and Borda's nozzle; flow from the opening between two flat plates; and Kirchhoff's method. The text then examines infinite flow past a polygonal obstacle, flow around curvilinear obstacles, and flow around a body at small cavitation number. Topics include cavitating flow around a circular cylinder; cavitating flow around a thin profile at an arbitrary angle of attack; cavitating flow around a flat plate; Villat's integro-differential equation and the existence and uniqueness of the solution; and flow past a plate with the separation from its upper surface. The book takes a look at the flow of a heavy fluid and the effects of surface tension, axisymmetric flow, jet flow of compressible fluid, and unsteady flows. The publication is a dependable reference for hydrodynamicists wanting to explore the theory of jets in ideal fluids.
| Author | : M. I. Gurevich |
| Publisher | : Elsevier |
| Total Pages | : 423 |
| Release | : 2014-07-22 |
| Genre | : Technology & Engineering |
| ISBN | : 1483185826 |
Pure and Applied Mathematics, Volume 39: The Theory of Jets in an Ideal Fluid provides a general idea of the theory of jets. This book serves as an introduction to the classical problems in the theory and provides some knowledge of the fundamentals of hydromechanics. Organized into 12 chapters, this volume begins with an overview of the theory of plane, steady flow of an ideal, incompressible fluid. This text then examines the jet flow of an unbounded current about a flat plate, placed perpendicular to the flow. Other chapters consider a number of problems involving the plane flow of fluid out of vessels. This book discusses as well the physical importance of Brillouin's condition and also the problem of cavitational flow. The final chapter deals with the flows of weightless fluid in order to know the effect of surface tension forces. This book is a valuable resource for marine and hydraulic engineers.
| Author | : M. C. Shen |
| Publisher | : |
| Total Pages | : 23 |
| Release | : 1971 |
| Genre | : Asymptotic expansions |
| ISBN | : |
A nonlinear asymptotic theory within the framework of long-wave approximation is developed for the study of helical waves on a rotating viscous fluid with a cylindrical free surface, and the mathematical model considered is relevant to problems of geophysical significance. A unified approach to the derivation of asymptotic equations is achieved, and for the sake of practical application the range of validity of each equation is clearly stated in terms of physical scales. The theory also yields asymptotically without direct computation stability region for the wave motion, hence suggests an effective method to deal with stability problems of viscous fluid flow with free surface. (Author).
| Author | : Alexander L. Yarin |
| Publisher | : Chapman & Hall/CRC |
| Total Pages | : 472 |
| Release | : 1993 |
| Genre | : Mathematics |
| ISBN | : |
An examination of the hydrodynamics of free liquid jets and the films of viscous and rheologically complex (in particular, polymeric) liquids. Offering a unique and comprehensive coverage of an important topic, this volume will be invaluable for all those involved in applied mathematics, computational fluid mechanics, hydrodynamics, rheology, applied physics, as well as chemical and mechanical engineering.
| Author | : Vladimir Neyland |
| Publisher | : Butterworth-Heinemann |
| Total Pages | : 563 |
| Release | : 2008-02-06 |
| Genre | : Science |
| ISBN | : 0080555772 |
This is the first book in English devoted to the latest developments in fluid mechanics and aerodynamics. Written by the leading authors in the field, based at the renowned Central Aerohydrodynamic Institute in Moscow, it deals with viscous gas flow problems that arise from supersonic flows. These complex problems are central to the work of researchers and engineers dealing with new aircraft and turbomachinery development (jet engines, compressors and other turbine equipment). The book presents the latest asymptotical models, simplified Navier-Stokes equations and viscous-inviscid interaction theroies and will be of critical interest to researchers, engineers, academics and advanced graduate students in the areas of fluid mechanics, compressible flows, aerodynamics and aircraft design, applied mathematics and computational fluid dynamics. The first book in English to cover the latest methodology for incopressible flow analysis of high speed aerodynamics, an essential topic for those working on new generation aircraft and turbomachinery Authors are internationally recognised as the leading figures in the field Includes a chapter introducing asymptotical methods to enable advanced level students to use the book
| Author | : Stanley Middleman |
| Publisher | : Academic Press |
| Total Pages | : 319 |
| Release | : 1995-08-14 |
| Genre | : Technology & Engineering |
| ISBN | : 0080536638 |
This concise book is intended to fulfill two purposes: to provide an important supplement to classic texts by carrying fluid dynamics students on into the realm of free boundary flows; and to demonstrate the art of mathematical modeling based on knowledge, intuition, and observation. In the authors words, the overall goal is make the complex simple, without losing the essence--the virtue--of the complexity. Modeling Axisymmetric Flows: Dynamics of Films, Jets, and Drops is the first book to cover the topics of axisymmetric laminar flows; free-boundary flows; and dynamics of drops, jets, and films. The text also features comparisons of models to experiments, and it includes a large selection of problems at the end of each chapter. Contains problems at the end of each chapter Compares real-world experimental data to theory Provides one of the first comprehensive examinations of axisymmetric laminar flows, free-boundary flows, and dynamics of drops, jets, and films Includes development of basic equations Written in a style suitable for use as a textbook
| Author | : National Aeronautics and Space Administration (NASA) |
| Publisher | : Createspace Independent Publishing Platform |
| Total Pages | : 34 |
| Release | : 2018-06-30 |
| Genre | : |
| ISBN | : 9781722092191 |
A viscous or inviscid cylindrical jet with surface tension in a vacuum tends to pinch due to the mechanism of capillary instability. Similarity solutions are constructed which describe this phenomenon as a critical time is encountered, for two physically distinct cases: inviscid jets governed by the Euler equations and highly viscous jets governed by the Stokes equations. In both cases the only assumption imposed is that at the time of pinching the jet shape has a radial length scale which is smaller than the axial length scale. For the inviscid case, we show that our solution corresponds exactly to one member of the one-parameter family of solutions obtained from slender jet theories and the shape of the jet is locally concave at breakup. For highly viscous jets our theory predicts local shapes which are monotonic increasing or decreasing indicating the formation of a mother drop connected to the jet by a thin fluid tube. This qualitative behavior is in complete agreement with both direct numerical simulations and experimental observations. Papageorgiou, Demetrios T. Unspecified Center NAS1-19480; RTOP 505-90-52-01...
| Author | : Shiyi Bai |
| Publisher | : |
| Total Pages | : 408 |
| Release | : 1956 |
| Genre | : Fluid dynamics |
| ISBN | : |
| Author | : P. M. Naghdi |
| Publisher | : |
| Total Pages | : 53 |
| Release | : 1979 |
| Genre | : |
| ISBN | : |
This paper elaborates on the applicability of a direct formulation of the theory of jets to Newtonian and non-Newtonian fluid flow problems. Following a general discussion of the nature of direct theories, we record the basic equations of the theory of directed curves for any finite number of directors. Reference is then made to some recent results for incompressible Newtonian viscous flows, including the problem of jet breakup. The major portion of the paper is concerned with application of the direct approach to an incompressible non-Newtonian Poiseuille flow in a circular pipe. The results are compared to those of the three-dimensional theory and are found to include the effect of normal force corresponding to the normal stress effect. (Author).
