THE REFLECTION OF LONGITUDINAL WAVE PULSES FROM PLANE PARALLEL PLATES

Geophysics ◽  
1938 ◽  
Vol 3 (3) ◽  
pp. 198-218 ◽  
Author(s):  
Morris Muskat
Keyword(s):  
Longitudinal Wave ◽  
Plate Thickness ◽  
Wave Theory ◽  
Graphical Form ◽  
Wave System ◽  
Parallel Plates ◽  
Reflected Waves ◽  
Plane Parallel ◽  
The Individual ◽  
Density Ratios

A wave theory treatment is given of the reflection of elastic wave pulses from plane parallel plates. The analysis automatically resolves the reflected wave system into a series of undistorted individual pulses having the same shape as that impinging on the reflecting plate, but which are characterized by varying amplitudes and phase shifts corresponding to various internal reflection and refraction processes within the plate. The numerical values for the reflection coefficients for the three most prominent longitudinal reflected pulses resulting from an incident longitudinal wave pulse are given in both tabular and graphical form, for angles of incidence between 0 and 30°, for velocity ratios between the plate and incident medium of 1.0 to 2.0, and for density ratios of 0.9 to 1.3. The actual superposition of the individual reflected waves is shown graphically for three cases where the ratio of the reflecting plate thickness to the length of the incident pulse has the values 2, 1, or 1/2.

Laminar Counterflow Exchangers: An Approximate Account of Wall Resistance and Variable Transfer Coefficients

1972 ◽  
Vol 94 (4) ◽  
pp. 391-396 ◽  
Author(s):  
R. A. Seban ◽  
T. C. Hsieh ◽  
R. Greif
Keyword(s):  
Graphical Form ◽  
Exact Results ◽  
Parallel Plates ◽  
Transfer Coefficients ◽  
Usual Definition ◽  
Average Value ◽  
Overall Heat Transfer Coefficient ◽  
Adequate Accuracy ◽  
Definition Of ◽  
The Individual

There is considered the calculation of the average value of the overall heat-transfer coefficient for counterflow between parallel plates or in concentric tubes when the flows are laminar and the thermal entry lengths for one or both streams extend over a significant part of the exchanger length. It is shown that if this length is at least less than the total length for one of the fluids, the average value of the overall coefficient can be calculated with adequate accuracy from the average values of the individual coefficients by means of the usual definition of the overall coefficient. When both thermal entry lengths exceed the exchanger length, then a special calculation is needed to obtain suitable average overall values. This result is given in graphical form and supported by more exact results from the literature and as obtained here.

Reflection of a longitudinal travelling wave from the notch in a rod

2007 ◽  
Vol 5 ◽  
pp. 212-220 ◽  
Author(s):  
M.A. Ilgamov ◽  
A.G. Khakimov
Keyword(s):  
Inverse Problem ◽  
Longitudinal Wave ◽  
Travelling Wave ◽  
Observation Point ◽  
Reflected Waves ◽  
Reflected Wave ◽  
Using Data

This article investigates the reflection of a longitudinal wave from the transverse notch and its movement along an infinite rod. The dependence is obtained between the reflected wave and parameters of the notch. The statement of the inverse problem allows defining the coordinate of the notch and the parameter that contains its depth and length using data on both the incident and reflected waves at the observation point.

scholarly journals Platform for Integrating and Testing Tools which Transform Natural Language Queries into SPARQL Queries

2019 ◽  
Vol 17 (2) ◽  
pp. 138-152
Author(s):  
I. S. Postanogov ◽  
I. A. Turova
Keyword(s):  
Natural Language ◽  
Data Flow ◽  
Data Access ◽  
Building Blocks ◽  
Third Party ◽  
Flow Diagram ◽  
Graphical Form ◽  
Testing Tools ◽  
Party Transformation ◽  
The Individual

In the paper we discuss how to support the process of creating tools which transform natural language (NL) queries into SPARQL queries (hereinafter referred to as a transformation tool). In the introduction, we describe the relevance of the task of understanding natural language queries by information systems, as well as the advantages of using ontologies as a means of representing knowledge for solving this problem. This ontology-based data access approach can be also used in systems which provide natural language interface to databases. Based on the analysis of problems related to the integration and testing of existing transformation tools, as well as to support the creation and testing own transformation modules, the concept of a software platform that simplifies these tasks is proposed. The platform architecture satisfies the requirements for ease of connecting third party transformation tools, reusing individual modules, as well as integrating the resulting transformation tools into other systems, including testing systems. The building blocks of the created transformation systems are the individual transformation modules packaged in Docker containers. Program access to each module is carried out using gRPC. Modules loaded into the platform can be built into the transformation pipeline automatically or manually using the built-in third party SciVi data flow diagram editor. Compatibility of individual modules is controlled by automatic analysis of application programming interfaces. The resulting pipeline is combined according to specified data flow into a single multi-container application that can be integrated into other systems, as well as tested on extendable test suites. The expected and actual results of the query transformation are available for viewing in graphical form in the visualization tool developed earlier.

Teleseismic response of a uniform dipping crust (part I of a series on crustal equalization of seismic arrays)

1966 ◽  
Vol 56 (4) ◽  
pp. 841-859
Author(s):  
Julius Kane
Keyword(s):  
Time Delays ◽  
The Other ◽  
Local Geometry ◽  
Signal Distortion ◽  
Seismic Arrays ◽  
Plane Parallel ◽  
Crustal Structures ◽  
Parallel Configuration ◽  
The Individual ◽  
Elastic Layers

abstract Most seismic theory is confined to a consideration of crustal structures that can be abstracted as plane parallel elastic layers. For such configurations, the response of each element of a seismic array will be similar to any other except for a time delay. Signal enhancement of an array located on such an idealized structure can be accomplished by suitable time delays of the individual traces followed by superposition. On the other hand, if the crustal structure is anything but a plane parallel configuration, the signals received by the individual elements will not be identical to one another, but will include distortion effects characteristic of the local geometry. As a result, the records of seismic arrays located on realistic crustal configurations will have to be equalized to some standard reference if optimum signal processing is to be achieved. In this paper we introduce a ray procedure for the calculation of theoretical seismograms for the teleseismic response of an array of stations located above a uniform dipping crust (wedge-shaped). In terms of this mathematical model, we demonstrate the signal distortion effects of the geometry and discuss equalization techniques that will permit a superior recovery of the desired signal.

Pseudo-Peakon, Periodic Peakons and Compactons on a Shallow Water Model with Coriolis Effect

2021 ◽  
Vol 31 (08) ◽  
pp. 2150144
Author(s):  
Zhenshu Wen ◽  
Guanrong Chen ◽  
Jibin Li
Keyword(s):  
Solitary Wave ◽  
Shallow Water ◽  
Traveling Wave ◽  
Solitary Wave Solution ◽  
Wave Theory ◽  
Water Model ◽  
Wave System ◽  
Coriolis Effect ◽  
Bounded Solutions ◽  
Shallow Water Model

For a shallow water model with Coriolis effect, by applying the methodologies of dynamical systems and singular traveling wave theory developed by Li and Chen [2007] to its traveling wave system, under different parameter conditions, all possible bounded solutions (solitary wave solution, pseudo-peakon and periodic peakons as well as compactons) are obtained. Some exact explicit parametric representations are presented.

Influence of multiple reflections on the transmissioncoefficients of uniaxial plane-parallel plates

2021 ◽  
Author(s):  
German Caro ◽  
Veiras F. E. ◽  
Eduardo Acosta ◽  
Liliana Perez
Keyword(s):  
Parallel Plates ◽  
Multiple Reflections ◽  
Plane Parallel

scholarly journals On the Diagnosis of Unidirectional Acoustic Waves as Applied to the Measurement of Atmospheric Parameters by the API Method in the SURA Experiment

Atmosphere ◽  
2020 ◽  
Vol 11 (9) ◽  
pp. 924
Author(s):  
Sergey Leble ◽  
Sergey Vereshchagin ◽  
Nataliya V. Bakhmetieva ◽  
Gennadiy I. Grigoriev
Keyword(s):  
Acoustic Waves ◽  
Wave Theory ◽  
Resonant Scattering ◽  
Projection Operators ◽  
Evolution System ◽  
Neutral Atmosphere ◽  
Radio Waves ◽  
Reflected Waves ◽  
Density Perturbations ◽  
Wave Identification

The problem of wave identification is formulated as applied to the results of measurements of the temperature and the density of the neutral atmosphere in the range height 90–120 km by the artificial periodic irregularities (APIs) technique. The technique is based on the resonant scattering of radio waves by artificial periodic irregularities of the ionospheric plasma emerging in the field of a standing wave arising from the interference of the incident and reflected waves from the ionosphere. APIs were created using SURA heating facility (named as SURA experiment). The acoustic wave theory is reformulated on the base of data which can be observed in the given experimental setup. The basic system of equations is reduced so that it accounts only upward and downward directed waves, ignoring entropy mode. The algorithm of wave identification based on usage of dynamic projection operators for such a reduced case is proposed and explicit form of projection operators is derived. Its application to finite number dataset via Discrete Fourier Transform (DFT) is described and results of its application to the DFT-transformed set of experimental observation of the temperature and density perturbations are presented. The result yields hybrid amplitudes, that allow us to calculate energy of the directed waves that enter the observed superposition. The problem of entropy mode detection is discussed, the corresponding projecting operators for the full evolution system are built and a way to apply the method to quantification of it is proposed.

Correction possibilities of a component consisting of three cemented plane-parallel plates

1999 ◽  
Vol 66 (2) ◽  
pp. 146 ◽  
Author(s):  
G. I. Gresukh ◽  
S. A. Stepanov ◽  
E. G. Ezhov
Keyword(s):  
Parallel Plates ◽  
Plane Parallel

Wave Scattering From Multiple Horizontal Plates as a Breakwater

2009 ◽  
Author(s):  
Guoyu Wang ◽  
Yongxue Wang
Keyword(s):  
Water Depth ◽  
Plate Thickness ◽  
Wave Theory ◽  
Linear Potential ◽  
Antisymmetric Part ◽  
Transmission Coefficients ◽  
Present Solution ◽  
Relative Water ◽  
Constant Coefficients ◽  
Finite Water Depth

The multiple horizontal plates breakwater is proposed in this article, which mainly consists of several horizontal plates. The regular wave test results demonstrate that it has good performance of dissipating waves. Based on the linear potential wave theory, the scattering of waves normally incident on the multiple horizontal plates in a channel of finite water depth is investigated. The velocity potential is split to the symmetric and antisymmetric part, and the method of eigenfunction expansions is used to obtain the unknown constant coefficients determined from the matching conditions. The thickness of the plates is considered in the theoretical analysis. The present solution is compared with the existing theoretical, numerical and experimental results with good agreements. The parameters such as the relative water depth, relative plate width, relative plate thickness and number of plates, those identified with the performance of the breakwater are investigated and discussed. The variation of reflection and transmission coefficients alone with the above mentioned parameters are also presented.

scholarly journals Design and implementation of a prototype Human Protein Index.

1982 ◽  
Vol 28 (4) ◽  
pp. 861-866 ◽  
Author(s):  
J Taylor ◽  
N L Anderson ◽  
A E Scandora ◽  
K E Willard ◽  
N G Anderson
Keyword(s):  
Cellular Localization ◽  
Graphical Form ◽  
Two Dimensional ◽  
Reference Pattern ◽  
Two Dimensional Electrophoresis ◽  
Additional Information ◽  
Design And Implementation ◽  
Analysis System ◽  
The Individual ◽  
Dimensional Electrophoresis

Abstract This paper describes information-handling aspects of the TYCHO I analysis system (Clin, Chem. 27: 1807--1820, 1981), which analyzes two-dimensional electrophoresis gels, matches the individual protein spots with those in a reference pattern, and stores various information--including spot measurements, identifications, treatment profiles, set memberships, and comments--in a computerized database. This and additional information such as amino acid composition and cellular localization is then accessible from an interactive program that includes a pictorial user interface and presents much of the data in graphical form. Use of the TYCHO I system is illustrated by examples drawn from analyses of gel patterns from human leukocytes.

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