[PDF] Waves On Fluid Interfaces eBook

Author : Richard E. Meyer
Publisher : Academic Press
Page : 370 pages
File Size : 48,51 MB
Release : 2014-05-10
Category : Mathematics
ISBN : 1483265145

GET BOOK

Mathematics Research Center Symposium: Waves on Fluid Interfaces covers the proceedings of a symposium conducted by the Mathematics Research Center of the University of Wisconsin-Madison on October 18-20, 1982. The book focuses on nonlinear instabilities of classical interfaces, physical structure of real interfaces, and the challenges these reactions pose to the understanding of fluids. The selection first elaborates on finite-amplitude interfacial waves, instability of finite-amplitude interfacial waves, and finite-amplitude water waves with surface tension. Discussions focus on reformulation as an integro-differential equation, perturbation solutions, results for interfacial waves with current jump, wave of zero height, weakly nonlinear waves, and numerical methods. The text then takes a look at generalized vortex methods for free-surface flows; a review of solution methods for viscous flow in the presence of deformable boundaries; and existence criteria for fluid interfaces in the absence of gravity. The book ponders on the endothelial interface between tissue and blood, moving contact line, rupture of thin liquid films, film waves, and interfacial instabilities caused by air flow over a thin liquid layer. Topics include stability analysis of liquid film, interpretation of film instabilities, simple film, linear stability theory, inadequacy of the usual hydrodynamic model, and marcomolecule transport across the artery wall. The selection is a valuable source of data for researchers interested in the reactions of waves on fluid interfaces.

Author : Ali Hasan Nayfeh
Publisher :
Page : 25 pages
File Size : 29,90 MB
Release : 1974
Category : Fluid dynamics
ISBN :

GET BOOK

The method of multiple scales is used to derive a nonlinear partial differential equation which describes the evolution of two-dimensional wave-packets on the interface of two semi-infinite, incompressible, inviscid fluids of arbitrary densities, taking into account the effect of the surface tension, this equation is used to show that the stability of uniform wavetrains depends on the wavelength, the surface tension, and the density ratio. The results show that gravity waves are unstable for all density ratios except unity, while capillary waves are stable unless the density ratio is below approximately 0.1716. Moreover, the presence of surface tension results in the stabilization of some waves which are otherwise unstable. (Author).

Author : Wei Shyy
Publisher : Cambridge University Press
Page : 482 pages
File Size : 13,49 MB
Release : 1999-09-28
Category : Science
ISBN : 9780521642668

GET BOOK

In this book experts discuss research and applications in interfacial fluid dynamics.

Author : Ren‚e Gatignol
Publisher : World Scientific
Page : 273 pages
File Size : 21,13 MB
Release : 2001
Category : Science
ISBN : 9812810625

GET BOOK

This book constitutes a comprehensive survey of the balance equations for mass, momentum and energy for the interfaces in pure fluids and mixtures. Constitutive laws are presented for many situations in engineering science, and examples are provided, including surface viscosity effects, variable surface tension and vapor recoil. In addition, some extensions of existing theory are given: stretch effect in premixed flames, relaxation zones downstream two-phase shock waves, and effective surface tension for steep gradient zones. Contents: Thermodynamics and Kinematics of Interfaces; Interface Balance Laws; Constitutive Relations Deduced from Linear Irrevesible Thermodynamics for the Two-Dimensional Interfaces; Classical Three-Dimensional Constitutive Relations Deduced from Linear Irreversible Thermodynamics and Their Consequences for Interfaces; Second Gradient Theory Applied to Interfacial Medium; Typical Problems Involving Surface Tensions and Other Surface Properties. Readership: Graduates, physicists, applied mathematicians and engineers seeking classical knowledge in continuum mechanics and thermodynamics, especially in the thermodynamics of irreversible processes.

Author : Rudolph V. Birikh
Publisher : CRC Press
Page : 389 pages
File Size : 50,41 MB
Release : 2003-06-17
Category : Science
ISBN : 0824755847

GET BOOK

Despite factoring in countless natural, biological, and industrial processes, fixed attention on the singular attributes and behavior of fluids near or at interfaces has not received enough attention in the surface science literature. Liquid Interfacial Systems assembles and analyzes concepts and findings as an inclusive summation of fluid-fluid interfacial phenomena. This book covers excitation, stabilization, and suppression of instability at liquid interfaces. From the influential original research and scholarship of leaders in the discipline comes a volume to impart and explain definitions, scales, governing equations, and boundary conditions used in liquid interfacial system research.

Author : Shuai Zhang
Publisher :
Page : 0 pages
File Size : 13,24 MB
Release : 2023
Category :
ISBN :

GET BOOK

High-frequency acoustic waves (above MHz) are widely applied in ultrasonic imaging and many microfluidic applications. For many cases, the response of interfaces to high-frequency acoustic waves can be simplified as a reflection and refraction process, where only the effect of the interfaces on acoustic wave propagation is considered. But for some physical processes, such as bubble and droplet manipulation, the response of the interfaces plays a key role. However, the interaction processes between high-frequency acoustic waves and interfaces, especially fluid interfaces, are mostly highly nonlinear. Most of the related work focused on acoustic waves with frequencies ranging from DC to kHz. There are continuously new phenomena found and reported showing the effect of high-frequency acoustic waves on fluid interfaces contrary to previously discovered theorems and laws. Yet many of the phenomena are poorly understood and explained. We briefly introduced the background of high-frequency ultrasonic devices, including the selection of material, design principles, physical models, and some of the important applications. Observations and measurements on the interface dynamics with small amplitudes and high frequencies have always been a challenge to researchers. Gas vesicles (GV) are bubbles wrapped by a protein layer with submicron sizes, which put forward an even higher requirement for the equipment and experiment design. We reported a precise non-contact technique to monitor GV's vibrational behavior using laser Doppler vibrometry. The resonance frequencies of the single GV and agglomerated GV were found and verified by the simulation results. We then focused on the behavior of the GV affected by lower frequencies (1-10 MHz) associated with medical and industrial applications. The change of GV's vibrational response to the acoustic wave with varying power input was observed. The mechanism of GV's function on ultrasonic signal amplification can be well explained with the measured linear and nonlinear behaviors (buckling and collapse). We then investigated the effect of high-frequency acoustic waves on the fluid-gas interface on the droplet's surface. We found that the sessile droplets with a small volume ( ~ [mu]L) produce visible, low-frequency vibrations (~ 100Hz) when exposed to high-frequency acoustic waves. However, there are no appropriate theories to predict capillary wave generation excited by high-frequency acoustic waves since the frequencies violate fundamental assumptions used in these theories. We brought up the acoustic radiation pressure-interface shape feedback mechanism to explain the energy transfer across vastly separate scales. The simulations based on the physical model are carefully compared with the direct observation of droplet interface dynamics from the high-speed digital holographic camera. The pressure-interface feedback model accurately predicts the vibration amplitude threshold at which capillary waves appear, the subsequent amplitude and frequency of the capillary waves, and the distribution of the standing wave pressure field within the sessile droplet responsible for the capillary waves.

Author : Bo Peterson
Publisher :
Page : 29 pages
File Size : 35,42 MB
Release : 1979
Category :
ISBN :

GET BOOK

The purpose of this article is to present a T-matrix formalism for elastic wave scattering by multilayered regions with solid-fluid interfaces. Here the layers are not necessarily consecutively enclosing and thus in some regions there may be several different scatterers. We are using the Green's dyadic in an integral representation although the T-matrix can be obtained without using and Green's dyadic.