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Summary. Fluid mechanics describes the motion of mass in space under the influence of internal and external forces. The particle model presented in this article is based on this fact. The fluid is subdivided into a finite number of small mass packets, the particles. These mass packets have a finite extension and share all properties with the fluid, except for the restriction that they cannot get deformed and can perform only rigid body motions. The forces acting upon the particles are identical to those acting on a part of a fluid. The exact conservation of mass and, for the case of adiabatic flows, also of entropy is automatically guaranteed by the approach. When the particle size tends to zero, the mean local displacement of the particles converges in the weak sense. In the inviscid case, the resulting flows can be regarded as solutions of the Euler equations. Received February 17, 1995 / Revised version received December 28, 1995  相似文献   
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Summary A new analytical method is presented based on measurement of dispersion spectra (refractive index versus wavelength) of liquid samples with a fast scanning diode array spectrometer. It proves to be suitable for the analysis of nanoliter volumes where classical absorption spectroscopy fails. Future applications include sample identification and discrimination (micro-analysis) and HPLC detection.
Dispersionsspektroskopie von Flüssigkeits-Dünnschichten
Zusammenfassung Die hier vorgestellte analytische Meßmethode beruht auf der Messung der spektralen Dispersion der Probenflüssigkeit mit Hilfe eines Diodenzeilenspektrometers, das sich vor allem durch seine hohe Meßgeschwindigkeit auszeichnet. Es wird gezeigt, daß sich mit dieser Methode auch Volumina im Nanoliterbereich analysieren lassen, die der klassischen Absorptionsspektroskopie nicht mehr zugänglich sind. Die zukünftigen Anwendungen sind in der Probenidentifikation und -unterscheidung zu sehen, wie sie z. B. in der HPLC gefordert ist.
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On the multi-level splitting of finite element spaces   总被引:2,自引:0,他引:2  
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It is proven that time-independent viscoelastic Poisson ratios (PR) can only exist under separation of variable solutions which severely limits the class of applicable problems to quasi-static ones with incompressible homogeneous materials and non-moving boundaries under separable stress or displacement boundary conditions without any thermal expansions. Therefore, composites which are inherently anisotropic and sandwich structures which are nonhomogeneous and anisotropic are generally precluded from having time-independent PRs. Equal time variations for material properties in all directions are shown to be another simultaneous requirement instead of the incompressibility condition for achieving time-independent PRs. However, such restricted models lead to physically unrealistic bulk moduli responses when compared to experimentally determined relaxation moduli and are not generally achievable in current real materials. Consequently, viscoelastic materials are best characterized in terms of relaxation or creep functions, moduli or compliances rather than combinations of the latter with Poisson's ratios. Additionally, the assumption of constant PRs in problems involving thermal and chemical expansions, such as curing and manufacture of viscoelastic composites, is shown to be unjustified and insupportable. The distinct viscoelastic PR definitions, as found in the literature, are examined and classified into five categories. It is further shown that each is inherently unrelated to the others and all are always time-dependent, unless the above extremely limiting conditions are imposed. An extensive literature review indicates that experimental results overwhelmingly confirm the time dependent nature of viscoelastic PRs as no constant experimentally observed PRs were reported.  相似文献   
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A tank experiment was carried out to investigate underwater sound propagation over an elastic bottom in flat and sloping configurations. The purpose of the experiment was to evaluate range-dependent propagation models with high-quality experimental data. The sea floor was modeled as an elastic medium by a polyvinyl chloride slab. The relatively high rigidity of the slab requires accounting for shear waves in this environment. Acoustic measurements were obtained along virtual arrays in the water column using a robotic apparatus. Elastic parabolic equation solutions are in excellent agreement with data.  相似文献   
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