A Nonfield Analytical Method for Solving Energy Transport Equations

2020 ◽  
Vol 142 (4) ◽  
Author(s):  
Vladimir Kulish
Keyword(s):  
Analytical Method ◽  
Energy Transport ◽  
Differential Operators ◽  
Transport Equations ◽  
Theoretical Justification ◽  
Closed Form Solutions ◽  
The Past ◽  
Elegant Method ◽  
Type Integral ◽  
Transport Problems

Abstract In 2000, Kulish and Lage proposed an elegant method, which allows one to obtain analytical (closed-form) solutions to various energy transport problems. The solutions thus obtained are in the form of the Volterra-type integral equations, which relate the local values of an intensive property (e.g., temperature, mass concentration, and velocity) and the corresponding energy flux (e.g., heat flux, mass flux, and shear stress). The method does not require one to solve for the entire domain, and hence, is a nonfield analytical method. Over the past 19 years, the method was shown to be extremely effective when applied to solving numerous energy transport problems. In spite of all these developments, no general theoretical justification of the method was proposed until now. The present work proposes a justification of the procedure behind the method and provides a generalized technique of splitting the differential operators in the energy transport equations.

scholarly journals A non-field analytical method for solving problems in aero-acoustics

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Vladimir Kulish ◽  
Jiří Nožička ◽  
Jakub Suchý
Keyword(s):  
Analytical Method ◽  
Acoustic Pressure ◽  
Integral Relation ◽  
Closed Form Solutions ◽  
The Past ◽  
Elegant Method ◽  
Laplace Transform Technique ◽  
The Laplace Transform ◽  
First Time ◽  
Information Transport

AbstractIn 2000, a non-field analytical method for solving various problems of energy and information transport has been developed by Kulish and Lage. Based on the Laplace transform technique, this elegant method yields closed-form solutions written in the form of integral equations, which relate local values of an intensive properties such as, for instance, velocity, mass concentration, temperature with the corresponding derivative, that is, shear stress, mass flux, temperature gradient. Over the past 20 years, applied to solving numerous problems of energy and information transport, the method—now known as the method of Kulish—proved to be very efficient. In this paper—for the first time—the method is applied to problems in aeroacoustic. As a result, an integral relation between the local values of the acoustic pressure and the corresponding velocity perturbation has been derived. The said relation is valid for axisymmetric cases of planar, cylindrical and spherical geometries.

scholarly journals Laplacian networks: bounding indicator function smoothness for neural networks robustness

2021 ◽  
Vol 10 ◽  
Author(s):  
Carlos Lassance ◽  
Vincent Gripon ◽  
Antonio Ortega
Keyword(s):  
Neural Networks ◽  
Deep Learning ◽  
Supervised Learning ◽  
Indicator Function ◽  
Training Data ◽  
Theoretical Justification ◽  
The Past ◽  
Noisy Examples

For the past few years, deep learning (DL) robustness (i.e. the ability to maintain the same decision when inputs are subject to perturbations) has become a question of paramount importance, in particular in settings where misclassification can have dramatic consequences. To address this question, authors have proposed different approaches, such as adding regularizers or training using noisy examples. In this paper we introduce a regularizer based on the Laplacian of similarity graphs obtained from the representation of training data at each layer of the DL architecture. This regularizer penalizes large changes (across consecutive layers in the architecture) in the distance between examples of different classes, and as such enforces smooth variations of the class boundaries. We provide theoretical justification for this regularizer and demonstrate its effectiveness to improve robustness on classical supervised learning vision datasets for various types of perturbations. We also show it can be combined with existing methods to increase overall robustness.

Material Behavior of 2D Steel Lattices with Different Unit-Cell Patterns

2021 ◽  
Vol 1046 ◽  
pp. 15-21
Author(s):  
Paiboon Limpitipanich ◽  
Pana Suttakul ◽  
Yuttana Mona ◽  
Thongchai Fongsamootr
Keyword(s):  
Elastic Modulus ◽  
Experimental Studies ◽  
Base Material ◽  
Unit Cell ◽  
Material Behavior ◽  
Closed Form Solutions ◽  
The Past ◽  
Weight Density ◽  
Unit Cells ◽  
Cell Patterns

Over the past years, two-dimensional lattices have attracted the attention of several researchers because they are lightweight compared with their full-solid counterparts, which can be used in various engineering applications. Nevertheless, since lattices are manufactured by reducing the base material, their stiffnesses then become lower. This study presents the weight efficiency of the lattices defined by relations between the elastic modulus and the weight density of the lattices. In this study, the mechanical behavior of 2D lattices is described by the in-plane elastic modulus. Experimental studies on the elastic modulus of the 2D lattices made of steel are performed. Three lattices having different unit cells, including square, body-centered, and triangular unit cells, are considered. The elastic modulus of each lattice is investigated by tensile testing. All specimens of the lattices are made of steel and manufactured by waterjet cutting. The experimental results of the elastic modulus of the lattices with the considered unit-cell patterns are validated with those obtained from finite element simulations. The results obtained in this study are also compared with the closed-form solutions founded in the literature. Moreover, the unit-cell pattern yielding the best elastic modulus for the lattice is discussed through weight efficiency.

Electron beam energy transport: problems and prospects

1985 ◽  
Vol 25 (4-6) ◽  
pp. 807-815
Author(s):  
E.A. Abramyan ◽  
B.A. Altercop ◽  
G.D. Kuleshov
Keyword(s):  
Electron Beam ◽  
Beam Energy ◽  
Energy Transport ◽  
Electron Beam Energy ◽  
Transport Problems

scholarly journals What can engineers learn from the past? A potential role for history in engineering education.

2013 ◽  
Vol 2 (2) ◽  
pp. 43-54 ◽  
Author(s):  
Andrea Gaynor ◽  
Greg Crebbin
Keyword(s):  
Problem Solving ◽  
Engineering Students ◽  
Potential Role ◽  
Energy Transport ◽  
Engineering Problem ◽  
Historical Narratives ◽  
Engineering Practice ◽  
The Past ◽  
Technical Solutions ◽  
Ecologically Sustainable

At present, in many societies, engineers play a significant role in solving problems of energy, transport, accommodation and production; but similar problems have been solved through technical and non-technical means for thousands of years. Numerous historical examples therefore exist, in which the ends of different approaches to problem-solving are apparent: some tending to produce socially and/or ecologically sustainable outcomes, and some less positive. Historians do not simply narrate the past, they explain and interpret changes and continuities by paying attention to larger issues of, for example, class, gender, polity and economy. Such historical narratives, we argue, may have a useful role to play in efforts to shift the perspective of engineering students away from a narrow focus on complex technical solutions, towards the broader context in which their problem-solving will take place. This ability to assess the relationships between engineering problem-solving and the broader social and environmental context is critical to the development of a more sustainable and socially-just engineering practice.

Random Collocation Method (RCM)

2010 ◽  
Author(s):  
Hiroshi Isshiki
Keyword(s):  
Numerical Method ◽  
Collocation Method ◽  
Analytical Method ◽  
Traditional Method ◽  
Analytical Approach ◽  
Numerical Procedure ◽  
Computational Method ◽  
Weak Point ◽  
The Past ◽  
Innovative Idea

Recently, young people’s concern on theory is becoming very poor. If there is a numerical procedure that is friendlier with theory, the distance between theory and calculation would be decreased much, and the interaction between them would become more active. When the geometry of the domain is simple, the traditional analytical method using function expansion is very convenient in many numerical problems. In many problems, it has given very useful solutions for various problems. However, its effectiveness is usually limited to simple geometries of the domain. In the past, a fusion of the analytical approach and computational one has not been pursued sufficiently. If it becomes possible, it may give a different paradigm for obtaining the numerical solution. In the present paper, an innovative idea named Random Collocation Method (RCM) is discussed on how to overcome the weak point of the traditional method by combining it with computational method. It is the purpose of the present paper to develop the simplest numerical method and to make the distance between the theory and numerical method as small as possible.

scholarly journals Effect of Application of E-Government on the Staff Performance in the Greater Amman Municipality A Field Study

2016 ◽  
Vol 3 (2) ◽  
pp. 19 ◽  
Author(s):  
Suzan Darwazeh ◽  
Diana Khrisat ◽  
Sherien Al Dajah
Keyword(s):  
Service Quality ◽  
Job Performance ◽  
Field Study ◽  
Analytical Method ◽  
Cost Reduction ◽  
Performance Level ◽  
Task Completion ◽  
Administrative Staff ◽  
The Past ◽  
Staff Performance

<p>This study aims to identify effect of application of e-government with its dimensions (cost reduction, HR efficiency, transparency, and service quality) on the job performance with its dimensions (task completion, job loyalty and staff compliance) in the Greater Amman Municipality. The study uses the descriptive analytical method (theoretical and field), and (245) questionnaires were distributed to all administrative staff in the Municipality. The study shows a number of results; the most important of which are that there is an evident effect of application of e-government on the staff performance, compliance of employees with regulations and instructions, and the transactions are characterized by accuracy and quality unlike the situation in the past. The study recommends that it is necessary to increase incentives so that staff's loyalty gets greater, and that it is important to make ongoing improvement to maintain the present distinct performance level.</p>

An Augmented State Formulation for Modeling and Analysis of Multibody Distributed Dynamic Systems

2014 ◽  
Vol 81 (5) ◽  
Author(s):  
K. Noh ◽  
B. Yang
Keyword(s):  
Distributed Systems ◽  
Transfer Function ◽  
Dynamic Systems ◽  
Analytical Method ◽  
Dynamic Problems ◽  
Modeling And Analysis ◽  
Closed Form Solutions ◽  
Time Domains ◽  
Augmented State ◽  
Distributed Transfer Function

Multibody distributed dynamic systems are seen in many engineering applications. Developed in this investigation is a new analytical method for a class of branched multibody distributed systems, which is called the augmented distributed transfer function (DTFM). This method adopts an augmented state formulation to describe the interactions among multiple distributed and lumped bodies, which resolves the problems with conventional transfer function methods in modeling and analysis of multibody distributed systems. As can be seen, the augmented DTFM, without the need for orthogonal system eigenfunctions, produces exact and closed-form solutions of various dynamic problems, in both frequency and time domains.

scholarly journals Optical Observations of Radio Jets

1980 ◽  
Vol 5 ◽  
pp. 671-675
Author(s):  
Wil van Breugel ◽  
George Miley ◽  
Harvey R. Butcher
Keyword(s):  
Energy Transport ◽  
Optical Observations ◽  
Radio Sources ◽  
Optical Counterpart ◽  
Radio Structure ◽  
The Past ◽  
Radio Jets ◽  
Extended Radio ◽  
Considerable Body ◽  
Good Agreement

Over the past several years a considerable body of evidence has accumulated, suggesting that extended radio sources are powered quasi-continuously from the nuclei of their parent galaxies. This view is supported by the recent discovery that several radio galaxies have narrow radio jets which connect their active nuclei with the large radio lobes and which often extend for several tens of kiloparsecs. Because of their presumed association with the energy transport outward from the active nuclei, radio jets are at present being intensively studied with high-resolution radio techniques.The closest galaxy known to have a radio jet is the giant elliptical M87 (e.g., Wilkinson 1974), and in this case there is a well-known optical counterpart (e.g., Curtis 1918; de Vaucouleurs, Angione and Fraser 1968), This optical jet is highly polarized (Baade 1956), implying that at least part of the emission is non-thermal. This and the good agreement between the optical and radio structure suggests that these features are closely related.

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