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 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 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 Technical Abstract Bulletin written by and published by . This book was released on with total page 684 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 Scientific and Technical Aerospace Reports written by and published by . This book was released on 1994 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dissertation Abstracts written by and published by . This book was released on 1964 with total page 798 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Solitons written by Mohamed Atef Helal and published by Springer Nature. This book was released on 2022-11-12 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: This newly updated volume of the Encyclopedia of Complexity and Systems Science (ECSS) presents several mathematical models that describe this physical phenomenon, including the famous non-linear equation Korteweg-de-Vries (KdV) that represents the canonical form of solitons. Also, there exists a class of nonlinear partial differential equations that led to solitons, e.g., Kadomtsev-Petviashvili (KP), Klein-Gordon (KG), Sine-Gordon (SG), Non-Linear Schrödinger (NLS), Korteweg-de-Vries Burger’s (KdVB), etc. Different linear mathematical methods can be used to solve these models analytically, such as the Inverse Scattering Transformation (IST), Adomian Decomposition Method, Variational Iteration Method (VIM), Homotopy Analysis Method (HAM) and Homotopy Perturbation Method (HPM). Other non-analytic methods use the computational techniques available in such popular mathematical packages as Mathematica, Maple, and MATLAB. The main purpose of this volume is to provide physicists, engineers, and their students with the proper methods and tools to solve the soliton equations, and to discover the new possibilities of using solitons in multi-disciplinary areas ranging from telecommunications to biology, cosmology, and oceanographic studies.
Download or read book Wave Interactions and Fluid Flows written by Alex D. D. Craik and published by Cambridge University Press. This book was released on 1988-07-07 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This up-to-date and comprehensive account of theory and experiment on wave-interaction phenomena covers fluids both at rest and in their shear flows. It includes, on the one hand, water waves, internal waves, and their evolution, interaction, and associated wave-driven means flow and, on the other hand, phenomena on nonlinear hydrodynamic stability, especially those leading to the onset of turbulence. This study provide a particularly valuable bridge between these two similar, yet different, classes of phenomena. It will be of value to oceanographers, meteorologists, and those working in fluid mechanics, atmospheric and planetary physics, plasma physics, aeronautics, and geophysical and astrophysical fluid dynamics.
Download or read book Government Reports Annual Index written by and published by . This book was released on 1978 with total page 1038 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Topics in Finite Elasticity written by Michael Hayes and published by Springer Science & Business Media. This book was released on 2001-06-19 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: More than fifty years ago, Professor R. S. Rivlin pioneered developments in both the theory and experiments of rubber elasticity. These together with his other fundamental studies contributed to a revitalization of the theory of finite elasticity, which had been dormant, since the basic understanding was completed in the nineteenth century. This book with chapters on foundation, models, universal results, wave propagation, qualitative theory and phase transitions, indicates that the subject he reinvigorated has remainded remarkably vibran and has continued to present significant deep mathematical and experimental challenges.
Download or read book Propagation of Plane Waves of Finite Amplitude in Inhomogeneous Media with Applications to Vertical Propagation in the Ocean written by Thomas W. Carlton and published by . This book was released on 1974 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the report the authors developed an approximate theory of propagation of plane progressive waves of finite amplitude in a medium with density, sound speed, and parameter of nonlinearity (B/A) varying along the path of propagation. It was found that this variation has two effects upon the wave. The first is a change in amplitude due to the variation in the impedance of the medium. The second is a change in the distance scale over which nonlinear effects develop. Once these two effects are accounted for, then this theory reduces in form to the theory of propagation in a homogeneous fluid, which theory is well developed.
Download or read book Fusion Energy Update written by and published by . This book was released on 1978 with total page 310 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 The Journal of the Acoustical Society of America written by Acoustical Society of America and published by . This book was released on 2003 with total page 1292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
