Download or read book On Steady Free Surface Flow in a Gravity Field written by Stanford University. Applied Mathematics and Statistics Laboratory and published by . This book was released on 1951 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Some Flows in a Gravity Field Satisfying the Exact Free Surface Condition written by Martin Judy Vitousek and published by . This book was released on 1954 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Methods for Calculating the Effect of Gravity on Two dimensional Free Surface Flows written by Byrne Perry and published by . This book was released on 1957 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Conceptual Models of Flow and Transport in the Fractured Vadose Zone written by National Research Council and published by National Academies Press. This book was released on 2001-05-21 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fluid flow and solute transport within the vadose zone, the unsaturated zone between the land surface and the water table, can be the cause of expanded plumes arising from localized contaminant sources. An understanding of vadose zone processes is, therefore, an essential prerequisite for cost-effective contaminant remediation efforts. In addition, because such features are potential avenues for rapid transport of chemicals from contamination sources to the water table, the presence of fractures and other channel-like openings in the vadose zone poses a particularly significant problem, Conceptual Models of Flow and Transport in the Fractured Vadose Zone is based on the work of a panel established under the auspices of the U.S. National Committee for Rock Mechanics. It emphasizes the importance of conceptual models and goes on to review the conceptual model development, testing, and refinement processes. The book examines fluid flow and transport mechanisms, noting the difficulty of modeling solute transport, and identifies geochemical and environmental tracer data as important components of the modeling process. Finally, the book recommends several areas for continued research.
Download or read book Free Surface Flow written by Nikolaos D. Katopodes and published by Butterworth-Heinemann. This book was released on 2018-08-30 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt: Free-Surface Flow: Shallow-Water Dynamics presents a novel approach to this phenomenon. It bridges the gap between traditional books on open-channel flow and analytical fluid mechanics. Shallow-water theory is established by formal integration of the Navier-Stokes equations, and boundary resistance is developed by a rigorous construction of turbulent flow models for channel flow. In addition, the book presents a comprehensive description of shallow-water waves by mathematical analysis. These methods form the foundation for understanding flood routing, sudden water releases, dam and levee break, sluice gate dynamics and wave-current interaction. Bridges the gap between traditional books on open-channel flow and wave mechanics. Presents a comprehensive description of shallow-water waves by characteristic and bicharacteristic analysis. Presents techniques for wave control and active flood mitigation.
Download or read book Stratified Flows written by Chia-Shun Yih and published by Elsevier. This book was released on 2012-12-02 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stratified Flows is the second edition of the book Dynamics of Nonhomogenous Fluids. This book discusses the flow of a fluid of variable density or entropy in a gravitational field. In this edition, corrections have been made; unnecessary parts have been omitted; and new sections as well as notes on results related to the subject have been added. This book includes a general discussion of the effects of density or entropy and the structure of stratified flows; waves of small amplitude; the Eigenvalue problem; dependence of phase velocity on wavelength; wave motion; steady flows of finite amplitude; and types of solutions for steady flows. This edition also covers other topics such as hydrodynamic stability; flows in porous media; and the analogy between gravitational and electromagnetic forces. This text is recommended for those in the field of physics who would like to be familiarized with stratified flows and its related concepts.
Download or read book Free surface Flows Under Gravity and Surface Tension Effects Due to Pressure Distribution written by and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider steady two-dimensional free surface flows due to an applied pressure distribution under the effects of both gravity and surface tension in water of a constant depth. The fluid is assumed to be inviscid and incompressible and the flow is irrotational. The behavior of nonlinear waves is characterized by three parameters: the Froude number, F, the Bond number, tau, and the magnitude and sign of the pressure distribution, epsilon. The nonlinear wave problem was solved numerically by a boundary integral method. In addition, we studied some aspects of linear and weakly nonlinear theories in the case of small of amplitude wave to establish connections with the nonlinear solutions. It was found that, when tau > 1/3, the appropriate model for the weakly nonlinear theory is the fKdV equation whereas the fNLS equation gives better description of the wave form solution in the case when tau
Download or read book The Mathematical Theory of Permanent Progressive Water Waves written by Hisashi Okamoto and published by World Scientific Publishing Company. This book was released on 2001-09-28 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a self-contained introduction to the theory of periodic, progressive, permanent waves on the surface of incompressible inviscid fluid. The problem of permanent water-waves has attracted a large number of physicists and mathematicians since Stokes' pioneering papers appeared in 1847 and 1880. Among many aspects of the problem, the authors focus on periodic progressive waves, which mean waves traveling at a constant speed with no change of shape. As a consequence, everything about standing waves are excluded and solitary waves are studied only partly. However, even for this restricted problem, quite a number of papers and books, in physics and mathematics, have appeared and more will continue to appear, showing the richness of the subject. In fact, there remain many open questions to be answered. The present book consists of two parts: numerical experiments and normal form analysis of the bifurcation equations. Prerequisite for reading it is an elementary knowledge of the Euler equations for incompressible inviscid fluid and of bifurcation theory. Readers are also expected to know functional analysis at an elementary level. Numerical experiments are reported so that any reader can re-examine the results with minimal labor: the methods used in this book are well-known and are described as clearly as possible. Thus, the reader with an elementary knowledge of numerical computation will have little difficulty in the re-examination.
Download or read book Numerical Methods for Steady Viscous Free surface Flows written by E. H. van Brummelen and published by . This book was released on 2003 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Technical Information Pilot written by and published by . This book was released on 1952 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Motion of Bubbles and Drops in Reduced Gravity written by R. Shankar Subramanian and published by Cambridge University Press. This book was released on 2001-04-09 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2001 book provides a thorough review of the motion of bubbles and drops in reduced gravity.
Download or read book Menahem Max Schiffer Selected Papers Volume 1 written by Peter Duren and published by Springer Science & Business Media. This book was released on 2013-10-17 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two volume set presents over 50 of the most groundbreaking contributions of Menahem M Schiffer. All of the reprints of Schiffer’s works herein have extensive annotation and invited commentaries, giving new clarity and insight into the impact and legacy of Schiffer's work. A complete bibliography and brief biography make this a rounded and invaluable reference.
Download or read book Fluid Dynamics Str mungsmechanik written by C.A. Truesdell and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 822 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sect 2. 317 tinuity surfaces 1. This suggests that a wake pressure Pw be associated with each flow past a bluff body, and that a wake parameter (2. 4) which plays the same role as the cavitation parameter (2. 1), be defined for the flow. This idea has been made the basis of a modified wake theory (ef. Sect. 11) which proves to be in good qu- titative agreement with pressure and drag measurements. It should be emphasized, however, that un h like the cavitation number, the wake parameter is a quantity which is not known a priori, and must be empirically determined in each case. (3) Jet flows. The problem of jet efflux from an orifice is one of the oldest in hydrodynamics and the first to be treated by Fig. 3a. the HELMHOLTZ free streamline theory. Of particular importance for engineering applications is the discharge coefficient Cd' which is defined in terms of the discharge Q per unit time, the pressure P, and the cross-sectional area A of the orifice, by the formula, (2. 5) where e is the fluid density. Two methods of measuring Cd have been most fre quently adopted. In the first the liquid issues from an orifice in a large vessel under the influence of gravity _,-____________ . , (Fig. 3 a), while in the second it 1 L is forced out of a nozzle or pipe under high pressure (Fig. 3 b).
Download or read book Free Surface Flows under Compensated Gravity Conditions written by Michael Dreyer and published by Springer. This book was released on 2007-04-17 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book considers the behavior of fluids in a low-gravity environment (e.g. spacecraft) with special emphasis on application in PMD (propellant management device) systems. Since PMD designs are not testable on ground and thus completely rely on analytical or numerical concepts, this book treats three different flow problems with analytical, numerical and experimental means. These problems are linked together by the same set of equations and boundary conditions.
Download or read book Hans Lewy Selecta written by David Kinderlehrer and published by Springer Science & Business Media. This book was released on 2001-11-29 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: The work of Hans Lewy (1904--1988) has had a profound influence in the direction of applied mathematics and partial differential equations, in particular, from the late 1920s. Two of the particulars are well known. The Courant--Friedrichs--Lewy condition (1928), or CFL condition, was devised to obtain existence and approximation results. This condition, relating the time and spatial discretizations for finite difference schemes, is now universally employed in the simulation of solutions of equations describing propagation phenomena. Lewy's example of a linear equation with no solution (1957), with its attendant consequence that most equations have no solution, was not merely an unexpected fact, but changed the viewpoint of the entire field. Lewy made pivotal contributions in many other areas, for example, the regularity theory of elliptic equations and systems, the Monge-- AmpSre Equation, the Minkowski Problem, the asymptotic analysis of boundary value problems, and several complex variables. He was among the first to study variational inequalities. In much of his work, his underlying philosophy was that simple tools of function theory could help one understand the essential concepts embedded in an issue, although at a cost in generality. This approach was extremely successful. In this two-volume work, most all of Lewy's papers are presented, in chronological order. They are preceded by several short essays about Lewy himself, prepared by Helen Lewy, Constance Reid, and David Kinderlehrer, and commentaries on his work by Erhard Heinz, Peter Lax, Jean Leray, Richard MacCamy, Fran?ois Treves, and Louis Nirenberg. Additionally, there are Lewy's own remarks on the occasion of his honorary degree from the University of Bonn.
Download or read book Water Waves The Mathematical Theory with Applications written by James Johnston Stoker and published by Courier Dover Publications. This book was released on 2019-04-17 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1957, this is a classic monograph in the area of applied mathematics. It offers a connected account of the mathematical theory of wave motion in a liquid with a free surface and subjected to gravitational and other forces, together with applications to a wide variety of concrete physical problems. A never-surpassed text, it remains of permanent value to a wide range of scientists and engineers concerned with problems in fluid mechanics. The four-part treatment begins with a presentation of the derivation of the basic hydrodynamic theory for non-viscous incompressible fluids and a description of the two principal approximate theories that form the basis for the rest of the book. The second section centers on the approximate theory that results from small-amplitude wave motions. A consideration of problems involving waves in shallow water follows, and the text concludes with a selection of problems solved in terms of the exact theory. Despite the diversity of its topics, this text offers a unified, readable, and largely self-contained treatment.
Download or read book Complex Analysis with Applications to Flows and Fields written by Luis Manuel Braga da Costa Campos and published by CRC Press. This book was released on 2010-09-03 with total page 1029 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex Analysis with Applications to Flows and Fields presents the theory of functions of a complex variable, from the complex plane to the calculus of residues to power series to conformal mapping. The book explores numerous physical and engineering applications concerning potential flows, the gravity field, electro- and magnetostatics, steady he
