Lumped Parameter Analysis of an Enclosed Incompressible Squeeze Film and a Central Gas Bubble
01 Feb 2008-Journal of Fluids Engineering-transactions of The Asme (American Society of Mechanical Engineers)-Vol. 130, Iss: 2, pp 021303
TL;DR: In this article, a lumped-parameter dynamic model for an enclosed incompressible squeeze film with a central gas bubble has been derived, and closed-form expressions for the lumpedparameter mass and damping coefficients caused by liquid motion were derived.
Abstract: A lumped-parameter dynamic model for an enclosed incompressible squeeze film with a central gas bubble has been derived. A new approach was applied to derive closed-form expressions for the lumped-parameter mass and damping coefficients caused by liquid motion. It was assumed that plate motions were small and the fluid behaved as a continuum. The values of the lumped-parameter mass and damping were found to depend on the aspect ratio and nondimensional squeeze-film thickness. The nondimensional thickness was given by the ratio of the actual squeeze-film thickness to the viscous penetration depth of the liquid. A nondimensional squeeze-film thickness of a value of 5 was found to divide between categories of thick and thin incompressible squeeze films. Amplification of the liquid mass and damping over and above squeeze films open to the atmosphere at the edges was found. The amplification was attributed to converging flow caused by enclosed boundaries. Comparisons between the lumped-parameter model predictions and finite-element computations showed a surprising degree of accuracy for the lumped-parameter model despite large liquid velocities in the squeeze film.
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TL;DR: In this article, the principle of hydrodynamic lubrication and the new phenomenon of levitating drops over liquid film flow, which is explained using hydrodynamical lubrication theory, are given.
Abstract: This article gives the principle of hydrodynamic lubrication and also presents the new phenomenon of levitating drops over liquid film flow, which is explained using hydrodynamic lubrication theory.
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TL;DR: In this article, the authors present a two-dimensional wave equation and simple solutions for the wave equation with respect to the two dimensions of the wave and the two types of vibrations.
Abstract: Fundamentals of Vibration. Transverse Motion: The Vibrating String. Vibrations of Bars. The Two--Dimensional Wave Equation: Vibrations of Membranes and Plates. The Acoustic Wave Equation and Simple Solutions. Reflection and Transmission. Radiation and Reception of Acoustic Waves. Absorption and Attenuation of Sound. Cavities and Waveguides. Pipes, Resonators, and Filters. Noise, Signal Detection, Hearing, and Speech. Architectural Acoustics. Environmental Acoustics. Transduction. Underwater Acoustics. Selected Nonlinear Acoustic Effects. Shock Waves and Explosions. Appendices. Answers to Odd--Numbered Problems. Index.
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01 Jun 1989
TL;DR: Pierces as mentioned in this paper is a classic text on acoustics with a rich history and development of the field of sound and acoustical engineering. But he organizes it superbly and writes intelligently with a wonderful way of integrating the history and evolution of the science and the graphics are exceptionally clear and communicative.
Abstract: My Personal Review: Texts on acoustics approach the subject from many different angles and at many different levels. Pierce's text is classic, rigorous and complete. It should serve the needs of serious students of acoustics for a variety of purposes musical acoustics and sound are my particular perspective.Some writers cater their approach to electrical engineers or to mechanical engineers, assuming that by tieing everything to those disciplines they will make the effort easier for their readers. This may serve well those who come from those disciplines, but may not serve others well and may not serve all applications of acoustics equally well either. Pierce does not do so. His approach is rigorously mathematical and pure, going to the heart of the matter, rather than one of attempting to cut corners by making analogies to other fields that you may or may not know.The book is not for the faint of heart or the mildly curious, it is deep and demanding. But he organizes it superbly and writes intelligently with a wonderful way of integrating the history and development of the science, and the graphics are exceptionally clear and communicative.Highly recommended for the very serious about this subject. My favorite among the books I have consulted.
2,235 citations
TL;DR: Comparisons regarding pump size, flow rate, and backpressure will help readers to decide their proper design before starting a microfluidics project.
Abstract: Microfluidics has emerged from the MEMS-technology as an important research field and a promising market. We give an overview on one of the most important microfluidic components: the micropump. In the last decade, various micropumps have been developed. There are only a few review papers on microfluidic devices and none of them were dedicated only to micropumps. This review paper outlines systematically the pump principles and their realization with MEMS-technology. Comparisons regarding pump size, flow rate, and backpressure will help readers to decide their proper design before starting a microfluidics project. Different pump principles are compared graphically and discussed in terms of their advantages and disadvantages for particular applications
566 citations
TL;DR: The area of micropumps is definitely one of those “long runners” as discussed by the authors, and the potential applications especially the combination of biochemical sensing and microfluidics has provided a substantial stimulus for micropump research and development in the past and will do so in the future.
Abstract: If a high and on-going research dynamics is taken as a rejuvenating factor microfluidics can still be regarded as a truly young discipline, although some microfluidic devices definitely can not be considered as “youngsters” any more. In a time of 30 years of ISFETOLOGY it may be worth to take a look at these devices in order to examine, whether they had—and still have—the potential to stimulate the imagination and creativity of researchers in a similar way as the Ion Sensitive Fieldeffect Transistor did since its invention in 1970. The area of micropumps is definitely one of those “long runners”. Starting in the mid 1970s a steadily growing and astonishing diversity of micropump principles, technical concepts and applications has emerged in this area. Until today MEMS science is delivering a constant flow of novel modelling approaches, microstructured materials, actuation principles, fabrication technologies and applications, that are readily taken and transferred into micropump research. Among the potential applications especially the combination of biochemical sensing and microfluidics has provided a substantial stimulus for micropump research and development in the past and will do so in the future.
448 citations
04 Jun 1990
TL;DR: In this paper, a finite-element technique is presented that essentially solves Reynold's equation for small displacements and squeeze numbers by analogy with heat conduction in a solid with internal heat generation.
Abstract: Criteria are set forth that are aimed at altering the designer to the onset of nonlinear and compressible effects in accelerometers. A finite-element technique is presented that essentially solves Reynold's equation for small displacements and squeeze numbers by analogy with heat conduction in a solid with internal heat generation. Examples are presented that show film pressure profiles generated for complex geometries with nonuniform film thicknesses and squeeze velocities. A technique for mitigation of compressibility effects through film pressurization is suggested. Ideal damping results if both the squeeze number and the relative displacement are kept much less than 1.0. If these conditions are satisfied, one can then use finite-element techniques to estimate damping coefficients for other than simple geometries. >
303 citations