New Approach of Solving Congruence Equation System

2020 ◽  
pp. 16-24
Author(s):  
Andrey G. Ivanov ◽  
Nikolai T. Stoianov
Keyword(s):  
Equation System ◽  
New Approach ◽  
Congruence Equation

A New Approach to the Simulation of Thermal Systems

2005 ◽  
Vol 128 (3) ◽  
pp. 161-167 ◽  
Author(s):  
Nedim Sözbir
Keyword(s):  
Linear System ◽  
Linear Equations ◽  
Taylor Series Expansion ◽  
Equation System ◽  
Thermal System ◽  
Thermal Systems ◽  
Suggested Approach ◽  
New Approach ◽  
Linear System Of Equations ◽  
System Equations

In this paper, thermal systems are simulated and analyzed with a new approach. Thermal system design equations can be obtained as a nonlinear algebraic equation system and then this nonlinear equation system is converted to a well-defined or non-well-defined linear equation system. The transformation of the nonlinear system equations to linear system equations is realized by using the first-order Taylor series expansion; after that, the linear system of equations of our thermal system is obtained. These linear equations are then solved by our new suggested approach. This new algorithm and conventional solution methods are applied for designing some thermal systems, such as the heat exchangers combination and the gas turbine plant using design calculations. Obtained conventional and new approach results for those samples of thermal systems are compared and interpreted.

scholarly journals NEW APPROACH ON THE GENERAL SHAPE EQUATION OF AXISYMMETRIC VESICLES

1999 ◽  
Vol 13 (01) ◽  
pp. 13-18 ◽  
Author(s):  
ZHAN-NING HU
Keyword(s):  
Differential Equation ◽  
Equation System ◽  
Variable Coefficients ◽  
General Shape ◽  
General Constraint ◽  
New Approach ◽  
Shape Equation ◽  
Equilibrium Shapes ◽  
Linear Differential ◽  
Lipid Bilayer Vesicles

The general Helfrich shape equation determined by minimizing the curvature free energy describes the equilibrium shapes of the axisymmetric lipid bilayer vesicles in different conditions. It is a nonlinear differential equation with variable coefficients. In this letter, by analyzing the unique property of the solution, we change this shape equation into a system of the two differential equations. One of them is a linear differential equation. This equation system contains all of the known rigorous solutions of the general shape equation. And the more general constraint conditions are found for the solution of the general shape equation.

The Equilibrium Network: A New Approach for Simulation and Visualization of Aqueous Electrolyte Systems

2007 ◽  
Vol 2 (3) ◽  
Author(s):  
Paul Schausberger ◽  
Karl Schoeggl ◽  
Vicki Chen ◽  
Anton Friedl
Keyword(s):  
Aqueous Electrolyte ◽  
Equilibrium Constants ◽  
Simulation Method ◽  
Equation System ◽  
Mass Action ◽  
Simultaneous Solution ◽  
New Approach ◽  
Standard Data ◽  
Activity Coefficient Model ◽  
Flexible Application

A new simulation method for investigating mixed aqueous electrolyte systems at thermodynamic equilibrium is presented. Based on the commercial simulation package IPSEpro, a graphical procedure for assembling equilibrium systems followed by simultaneous solution of the underlying equation system was developed. At graphical setup, species and reactions objects are connected by the information of activity and stoichiometry in a network-like manner. Consequently, the resulting equations of mass action, the electro-neutrality and balance conditions are solved incorporating the Pitzer activity coefficient model and equilibrium constants from thermodynamic standard data. The method developed allows fast and flexible application of the complex thermodynamic principles to engineering tasks. The modeling approach and all basic models for graphical input and simultaneous solution of coupled equilibrium conditions are explained. For demonstration of the simulation method, example simulations for the systems of H2SO4-H2O, CaSO4-H2SO4-H2O and NaCl-CaSO4-CO2-H2O are described and evaluated successfully.

scholarly journals Algorithms for forming the coefficient matrix of a system of differential equations Chapman-Kolmogorov models of non-stationary service systems

2021 ◽  
Vol 2131 (3) ◽  
pp. 032012
Author(s):  
V P Bubnov ◽  
Sh Kh Sultonov
Keyword(s):  
Recursive Algorithm ◽  
Equation System ◽  
Coefficient Matrix ◽  
Service Systems ◽  
Optimal Structure ◽  
Sequential Algorithm ◽  
New Approach ◽  
Building Models ◽  
Software Implementations ◽  
Theoretical Foundations

Abstract The paper considers a new approach to building models of nonstationary service systems based on: the formation of all possible states of a nonstationary service system with a finite number of applications and rules of transition between them; the formation of the coefficient matrix of Chapman-Kolmogorov differential equation system; the numbering procedure for all states. A critical analysis is made of the algorithms for the formation of the coefficient matrix and the numbering procedure for all states: sequential, recursive and recursive with grouping. Its comparison with the recursive algorithm is given, as well as the optimal structure for storing the list of states for the sequential algorithm. Recommendations for the practical application of software implementations of the considered algorithms are discussed. Theoretical foundations for building and calculating models of nonstationary service systems have been developed. It is compared to the recursive algorithm. The optimal structure for storing the list of states for a sequential algorithm is given.

scholarly journals A process-oriented approach to computing multi-field problems in porous media

2004 ◽  
Vol 6 (3) ◽  
pp. 225-244 ◽  
Author(s):  
Olaf Kolditz ◽  
Sebastian Bauer
Keyword(s):  
Porous Media ◽  
Physical Process ◽  
High Spatial Resolution ◽  
Object Oriented ◽  
Equation System ◽  
Field Variable ◽  
Numerical Code ◽  
New Approach ◽  
Process Systems ◽  
Object Oriented Methods

Object-oriented methods are becoming more and more important in order to meet the challenges in scientific computing, such as the treatment of coupled multi-field problems with high spatial resolution. This paper introduces an object-oriented concept for modelling multi-process systems in porous media. The basic idea is the direct representation of a physical process by an object of the numerical code. Because a physical process can be represented by a field variable and an equation system, the process object contains the equation system for the field variable as well as all methods needed for building and solving the equation system. The process object is thus self-configuring and well encapsulated, which are the main advantages of this new approach and thus allows for an easy extension to more complex applications with a higher number of processes. The design and implementation of the object-oriented concept for the presented process objects is described in detail and illustrated by a set of application examples.

The O–C diagrams of minor planets − a new approach to modelling the rotation

1999 ◽  
Vol 173 ◽  
pp. 185-188
Author(s):  
Gy. Szabó ◽  
K. Sárneczky ◽  
L.L. Kiss
Keyword(s):  
Error Analysis ◽  
Time Dependence ◽  
Theoretical Work ◽  
Minor Planet ◽  
Minor Planets ◽  
New Approach ◽  
Preliminary Results ◽  
Ccd Observations

AbstractA widely used tool in studying quasi-monoperiodic processes is the O–C diagram. This paper deals with the application of this diagram in minor planet studies. The main difference between our approach and the classical O–C diagram is that we transform the epoch (=time) dependence into the geocentric longitude domain. We outline a rotation modelling using this modified O–C and illustrate the abilities with detailed error analysis. The primary assumption, that the monotonity and the shape of this diagram is (almost) independent of the geometry of the asteroids is discussed and tested. The monotonity enables an unambiguous distinction between the prograde and retrograde rotation, thus the four-fold (or in some cases the two-fold) ambiguities can be avoided. This turned out to be the main advantage of the O–C examination. As an extension to the theoretical work, we present some preliminary results on 1727 Mette based on new CCD observations.

A New Approach to the Demonstration of Oxidase-Localization Using Tannic Acid Or Catechin

1973 ◽  
Vol 31 ◽  
pp. 698-699
Author(s):  
V. Mizuhira ◽  
Y. Futaesaku
Keyword(s):  
Cross Section ◽  
Tannic Acid ◽  
Elastic Fiber ◽  
The Other ◽  
New Approach ◽  
Tissue Block ◽  
Active Reaction ◽  
The Cross

Previously we reported that tannic acid is a very effective fixative for proteins including polypeptides. Especially, in the cross section of microtubules, thirteen submits in A-tubule and eleven in B-tubule could be observed very clearly. An elastic fiber could be demonstrated very clearly, as an electron opaque, homogeneous fiber. However, tannic acid did not penetrate into the deep portion of the tissue-block. So we tried Catechin. This shows almost the same chemical natures as that of proteins, as tannic acid. Moreover, we thought that catechin should have two active-reaction sites, one is phenol,and the other is catechole. Catechole site should react with osmium, to make Os- black. Phenol-site should react with peroxidase existing perhydroxide.

Processing Immunoperoxidase Labeled Cell Monolayers and Cryostat Sesctions For Electron Microscopy

1985 ◽  
Vol 43 ◽  
pp. 714-715
Author(s):  
K. Chien ◽  
R. Van de Velde ◽  
I.P. Shintaku ◽  
A.F. Sassoon
Keyword(s):  
Cell Monolayer ◽  
Cell Types ◽  
Surface Antigens ◽  
Immunoperoxidase Method ◽  
Reaction Step ◽  
Hot Plate ◽  
Air Drying ◽  
New Approach ◽  
Cell Monolayers ◽  
Glass Slides

Immunoelectron microscopy of neoplastic lymphoma cells is valuable for precise localization of surface antigens and identification of cell types. We have developed a new approach in which the immunohistochemical staining can be evaluated prior to embedding for EM and desired area subsequently selected for ultrathin sectioning.A freshly prepared lymphoma cell suspension is spun onto polylysine hydrobromide- coated glass slides by cytocentrifugation and immediately fixed without air drying in polylysine paraformaldehyde (PLP) fixative. After rinsing in PBS, slides are stained by a 3-step immunoperoxidase method. Cell monolayer is then fixed in buffered 3% glutaraldehyde prior to DAB reaction. After the DAB reaction step, wet monolayers can be examined under LM for presence of brown reaction product and selected monolayers then processed by routine methods for EM and embedded with the Chien Re-embedding Mold. After the polymerization, the epoxy blocks are easily separated from the glass slides by heatingon a 100°C hot plate for 20 seconds.

TEM study of a biofilm on copper corrosion

1996 ◽  
Vol 54 ◽  
pp. 220-221
Author(s):  
W. A. Chiou ◽  
N. Kohyama ◽  
B. Little ◽  
P. Wagner ◽  
M. Meshii
Keyword(s):  
Marine Bacterium ◽  
Culture Medium ◽  
Copper Alloys ◽  
Pure Copper ◽  
Localized Corrosion ◽  
Natural Seawater ◽  
Copper Corrosion ◽  
New Approach ◽  
The Past ◽  
Copper Tolerant

The corrosion of copper and copper alloys in a marine environment is of great concern because of their widespread use in heat exchangers and steam condensers in which natural seawater is the coolant. It has become increasingly evident that microorganisms play an important role in the corrosion of a number of metals and alloys under a variety of environments. For the past 15 years the use of SEM has proven to be useful in studying biofilms and spatial relationships between bacteria and localized corrosion of metals. Little information, however, has been obtained using TEM capitalizing on its higher spacial resolution and the transmission observation of interfaces. The research presented herein is the first step of this new approach in studying the corrosion with biological influence in pure copper.Commercially produced copper (Cu, 99%) foils of approximately 120 μm thick exposed to a copper-tolerant marine bacterium, Oceanospirillum, and an abiotic culture medium were subsampled (1 cm × 1 cm) for this study along with unexposed control samples.

High resolution at low voltage: A new approach

1989 ◽  
Vol 47 ◽  
pp. 76-77
Author(s):  
Arthur V. Jones
Keyword(s):  
Low Voltage ◽  
Emission Sources ◽  
New Approach ◽  
Design Concepts ◽  
Probe Diameter ◽  
Low Voltage Operation ◽  
Sufficient Intensity ◽  
Electron Microscopes ◽  
Scanning Electron Microscopes ◽  
Immersion Type

With the introduction of field-emission sources and “immersion-type” objective lenses, the resolution obtainable with modern scanning electron microscopes is approaching that obtainable in STEM and TEM-but only with specific types of specimens. Bulk specimens still suffer from the restrictions imposed by internal scattering and the need to be conducting. Advances in coating techniques have largely overcome these problems but for a sizeable body of specimens, the restrictions imposed by coating are unacceptable.For such specimens, low voltage operation, with its low beam penetration and freedom from charging artifacts, is the method of choice.Unfortunately the technical dificulties in producing an electron beam sufficiently small and of sufficient intensity are considerably greater at low beam energies — so much so that a radical reevaluation of convential design concepts is needed.The probe diameter is usually given by

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