Download or read book Propagation of Plane Compressional Waves of Finite Amplitude in Real Fluids a Theoretical Approach by the Method of Implicit Functions written by Yen Fu Bow and published by . This book was released on 1964 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: A theory is formulated describing the distortion of a plane, initially sinusoidal, compressional wave (or sound wave) of finite amplitude traveling through a real (nonlinear and dissipative) fluid medium which is initially undisturbed. The development of the theory consists of two steps. The first step is to find a closed-form approximate solution (expressed as an implicit functional relation) to the onedimensional hydrodynamical equations and the equation of the medium, and the second step is to improve this approximate solution by using certain physical insights. From the existence theorem of implicit functions a single condition is obtained from which the general behavior of sound propagation in a dissipative medium can be easily understood. The approximate solution found in the first step is in fairly good agreement with the experimental results and is compatible with previous theories. (Author).

Download or read book A Theoretical and Experimental Study of the Propagation of Plane Finite Mplitude Waves in Real Fluids written by William W. Lester and published by . This book was released on 1965 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: Longitudinal elastic waves of large amplitude propagated in real fluids exhibit a change in form and amplitude as they travel. An initially sinusoidal plane, finite amplitude wave is of special interest. A theory is presented which predicts the harmonic structure of such a wave on the hypothesis that interactions between harmonic components of the wave are weak compared with the processes which generate and absorb harmonics. The result is given as an infinite sum of infinite series, and is a function of two parameters, one which specifies the initial conditions, and one which specifies the distance of travel in a reduced form. Numerical values of the predicted fundamental, second, and third harmonics are tabulated for general use: the numerical values of the second and third harmonics have been computed for a wide range of the governing parameters. The general behavior of the harmonic structure is as expected from plausible arguments and the results of other investigators. (Author).

Download or read book A Theoretical and Experimental Study of the Propagation of Plane Finite Amplitude Waves in Real Fluids written by William Wright Lester and published by . This book was released on 1963 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1991 with total page 912 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Technical Abstract Bulletin written by and published by . This book was released on with total page 780 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book On the Theory of the Propagation of Plane Finite Amplitude Waves in a Dissipative Fluid written by W. W. LESTER and published by . This book was released on 1961 with total page 1 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Propagation of Waves of Finite Amplitude in Thermoviscous Media written by Ervin Y. Rodin and published by . This book was released on 1966 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Finite Amplitude Waves in Liquids and Solids written by and published by . This book was released on 1963 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Notices of Changes in Classification Distribution and Availability written by and published by . This book was released on 1977 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Inhomogeneous Waves in Solids and Fluids written by Giacomo Caviglia and published by World Scientific. This book was released on 1992 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book may be viewed as an introduction to time-harmonic waves in dissipative bodies, notably viscoelastic solids and fluids. The inhomogeneity of the waves, which is due to the fact that planes of constant phase are not parallel to planes of constant amplitude, is shown to be strictly related to the dissipativity of the medium. A preliminary analysis is performed on the propagation of inhomogeneous waves in unbounded media and of reflection and refraction at plane interfaces. Then emphasis is given to those features that are of significance for applications. In essence, they regard surface waves, scattering by (curved) obstacles, wave propagation in layered heterogeneous media, and ray methods. The pertinent mathematical techniques are discussed so as to make the book reasonably self-contained.

Download or read book Finite amplitude Wave Effects in Fluids written by Leif Bjørnø and published by . This book was released on 1974 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book On a Variational Approach to the Problems of Propagation of Plane and Spherical Waves written by Willem Stuiver and published by . This book was released on 1959 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Wave Propagation in Solids and Fluids written by Julian L. Davis and published by Springer. This book was released on 2011-09-23 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this volume is to present a clear and systematic account of the mathematical methods of wave phenomena in solids, gases, and water that will be readily accessible to physicists and engineers. The emphasis is on developing the necessary mathematical techniques, and on showing how these mathematical concepts can be effective in unifying the physics of wave propagation in a variety of physical settings: sound and shock waves in gases, water waves, and stress waves in solids. Nonlinear effects and asymptotic phenomena will be discussed. Wave propagation in continuous media (solid, liquid, or gas) has as its foundation the three basic conservation laws of physics: conservation of mass, momentum, and energy, which will be described in various sections of the book in their proper physical setting. These conservation laws are expressed either in the Lagrangian or the Eulerian representation depending on whether the boundaries are relatively fixed or moving. In any case, these laws of physics allow us to derive the "field equations" which are expressed as systems of partial differential equations. For wave propagation phenomena these equations are said to be "hyperbolic" and, in general, nonlinear in the sense of being "quasi linear" . We therefore attempt to determine the properties of a system of "quasi linear hyperbolic" partial differential equations which will allow us to calculate the displacement, velocity fields, etc.

Download or read book Mathematical Theory of Compressible Fluid Flow written by Richard Von Mises and published by Elsevier. This book was released on 2012-12-02 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Theory of Compressible Fluid Flow covers the conceptual and mathematical aspects of theory of compressible fluid flow. This five-chapter book specifically tackles the role of thermodynamics in the mechanics of compressible fluids. This text begins with a discussion on the general theory of characteristics of compressible fluid with its application. This topic is followed by a presentation of equations delineating the role of thermodynamics in compressible fluid mechanics. The discussion then shifts to the theory of shocks as asymptotic phenomena, which is set within the context of rational mechanics. The remaining two chapters is a thorough description of the hodograph method. These chapters provide a comparison of the modern integration theories. The features, characteristics, and application of transonic flow are also explored. This book is an ideal advanced textbook for both graduate students and research workers.

Download or read book Petroleum Abstracts written by and published by . This book was released on 1965 with total page 1254 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Stability and Wave Propagation in Fluids and Solids written by Giovanni Galdi and published by Springer. This book was released on 2014-05-04 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: The content of the volume is constituted by four articles. The first concerns the theory of propagation of plane waves in elastic media. The second treats theoretically the linear, weakly non-linear, and non-linear stability of flows of a viscous incompressible fluid in a diverging channel. The third lecture investigates the mathematical properties of the equations governing the motion of a viscous incompressible second-grade fluid, such as existence, uniqueness of classical solutions and stability of steady-state flows. The last lecture provides some basic results on wave propagation in continuum models. The objective of this book is to emphasize and to compare the various aspects of interest which include the necessary mathematical background, constitutive theories for material of differential type, polarized and shock waves, and second sound in solids at low temperatures.

Download or read book Wave Propagation in Fluids written by Vincent Guinot and published by John Wiley & Sons. This book was released on 2012-12-27 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition with four additional chapters presents the physical principles and solution techniques for transient propagation in fluid mechanics and hydraulics. The application domains vary including contaminant transport with or without sorption, the motion of immiscible hydrocarbons in aquifers, pipe transients, open channel and shallow water flow, and compressible gas dynamics. The mathematical formulation is covered from the angle of conservation laws, with an emphasis on multidimensional problems and discontinuous flows, such as steep fronts and shock waves. Finite difference-, finite volume- and finite element-based numerical methods (including discontinuous Galerkin techniques) are covered and applied to various physical fields. Additional chapters include the treatment of geometric source terms, as well as direct and adjoint sensitivity modeling for hyperbolic conservation laws. A concluding chapter is devoted to practical recommendations to the modeler. Application exercises with on-line solutions are proposed at the end of the chapters.