scholarly journals Comparative Analysis of Methods for Mathematical Modeling of Specific Electrical Conductivity of Plasma in the Channel of an Electric Discharge in Water

2021 ◽  
Vol 57 (4) ◽  
pp. 24-34
Author(s):  
V.M. Kosenkov ◽  
Keyword(s):  
Mathematical Modeling ◽  
Experimental Data ◽  
Mathematical Model ◽  
Electrical Conductivity ◽  
Comparative Analysis ◽  
Electric Discharge ◽  
Specific Electrical Conductivity ◽  
Empirical Function ◽  
Electric Discharge In Water

In the present work, a comparative analysis of three methods for determining the specific electrical conductivity of the plasma formed in the channel of an electric discharge in water is carried out for its mathematical modeling. The parameters of the empirical function are determined, at which the results of mathematical modeling are consistent with the experimental data. The necessity of using empirical functions in calculating the specific electrical conductivity of plasma has been substantiated. The obtained ratios made it possible to significantly increase the adequacy of the previously developed mathematical model of the physical discharge processes in water and to expand the range of parameters in which it can be used.

MATHEMATICAL MODELING OF IMMUNE-INFLAMMATORY REACTION IN ACUTE PNEUMONIA

1995 ◽  
Vol 03 (02) ◽  
pp. 429-439 ◽  
Author(s):  
S. G. RUDNEV ◽  
A. A. ROMANYUKHA
Keyword(s):  
Mathematical Modeling ◽  
Experimental Data ◽  
Mathematical Model ◽  
Immune Response ◽  
Sensitivity Analysis ◽  
Inflammatory Reaction ◽  
Humoral Immune ◽  
Disease Characteristics ◽  
Acute Pneumonia ◽  
Lung Resistance

Using ordinary differential equations, we propose a mathematical model describing an “averaged” dynamics of variables involved in which some parameters are shown to be important characteristics of lung resistance. The model consists of modified D.A. Lauffenburger’s mathematical model for inflammatory reaction in lungs, and the model of humoral immune response (G. I. Marchuk). Coefficients are identified against clinical and experimental data. We attempt to elucidate some disease characteristics in terms of sensitivity analysis of model solutions with respect to parameters variations.

Mathematical Modeling of Capillary Pumping Within Micron Sized Channels

2013 ◽  
Author(s):  
Yuelei Yang ◽  
Dan Zhang
Keyword(s):  
Mathematical Modeling ◽  
Experimental Data ◽  
Mathematical Model ◽  
Capillary Pressure ◽  
Heat Engine ◽  
Velocity Profiles ◽  
Vof Method ◽  
Numerical Results ◽  
Micro Heat Engine ◽  
Volume Of Fluids

This paper introduces a mathematical model which can be used to simulate the capillary pumping process of a micro heat engine. The micro heat engine has micron sized channels where the capillary pumping occurs. The classic Volume of Fluids (VOF) method is applied to obtain the velocity profiles of the fluids and to track the motions of the liquid-gas interfaces. The numerical results based this model have been compared with the experimental data and the initial retard of the pumping has been found and this phenomenon can be explained by the initial capillary pressure build-ups across the liquid-gas interfaces.

Mathematical Modeling and Experimental Study on Electrochemical Deburring of Miniature Holes

2013 ◽  
Vol 721 ◽  
pp. 382-386 ◽  
Author(s):  
Ze Fei Wei ◽  
Xing Hua Zheng ◽  
Zi Yuan Yu
Keyword(s):  
Mathematical Modeling ◽  
Experimental Data ◽  
Mathematical Model ◽  
Finite Element Analysis ◽  
Experimental Study ◽  
Finite Element ◽  
Electrochemical Machining ◽  
Current Density Distribution ◽  
Element Analysis ◽  
The Finite Element Analysis

The paper mainly focused on burr removal of the miniature hole drilled on aluminum plate by electrochemical machining. A mathematical model for the electrochemical deburring of miniature holes (M-ECD) was established based on the finite element analysis to the current density distribution. Both theoretical analysis and experimental study were held on the effects of many factors to the deburring results. The results proved that predictions based on our mathematical model were agreed with the experimental data comparatively.

scholarly journals Mathematical Modelling of Electric and Magnetic Fields of Main Pipelines Cathodic Protection in Electrically Anisotropic Media

2021 ◽  
Vol 225 ◽  
pp. 04002
Author(s):  
Vladimir Krizsky ◽  
Pavel Aleksandrov ◽  
Alexey Kovalskii ◽  
Sergey Viktorov
Keyword(s):  
Mathematical Model ◽  
Electrical Conductivity ◽  
Magnetic Fields ◽  
Electrochemical Corrosion ◽  
Azimuth Angle ◽  
Specific Electrical Conductivity ◽  
Main Pipeline ◽  
Main Pipelines ◽  
Electric And Magnetic Fields ◽  
Angle Of Rotation

A mathematical model is constructed and computational experiments are performed to study the effect of anisotropy of the specific electrical conductivity of the soil on the distribution of electric and magnetic fields generated by cathodic electrochemical corrosion protection stations of the underground main pipeline (MP). The variation of electric and magnetic fields depending on the azimuth angle of rotation of the specific electrical conductivity tensor of the soil containing the pipeline is analysed.

scholarly journals Maneuvering qualities of vessels with a wheeled propulsion and steering

2021 ◽  
pp. 154-159
Author(s):  
Л.С. Грошева ◽  
В.И. Мерзляков ◽  
В.И. Плющаев
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Comparative Analysis ◽  
Steering System ◽  
Safe Operation ◽  
Different Types

На судах используются различные типы рулевых устройств – традиционные рули, активные рули, выдвижные колонки, азимутальные подруливающие устройства и пр. В России начали строить колесные суда без традиционного руля. Маневрирование осуществляется путем изменения соотношения частот вращения гребных колес, расположенных по бортам в корме судна - суда с колесным движительно-рулевым комплексом (КДРК). В статье на основе математической модели судна с КДРК проводится сравнительный анализ маневровых характеристик судов с различными видами рулевого устройства – с традиционным рулем, азимутальным подруливающим устройством и КДРК. Было выполнено математическое моделирование стандартных маневров, используемых при испытаниях судов, а именно маневр зигзаг, маневр циркуляция, активное и пассивное торможение. Полученные результаты позволяют утверждать, что суда с КДРК (без традиционного руля) обладают маневровыми характеристиками, обеспечивающими их эффективную и безопасную эксплуатацию. Various types of rudders are used on ships - traditional rudders, active rudders, retractable thrusters, azimuth thrusters, etc. In Russia, they began to build wheeled ships without a traditional rudder. Maneuvering is carried out by changing the ratio of the rotation frequencies of the paddle wheels located along the sides in the stern of the vessel-a vessel with a wheeled propulsion and steering system (WPSS). In the article, on the basis of a mathematical model of a vessel with a WPSS, a comparative analysis of the maneuvering characteristics of vessels with different types of steering gear (a traditional rudder, an azimuth thruster and a WPSS) is carried out. Mathematical modeling of standard maneuvres used in the test of the vessels was performed: the zigzag maneuver, the circulation maneuver, active and passive braking. The results allow us to state that vessels with a WPSS (without a traditional rudder) have maneuvering characteristics that ensure their efficient and safe operation.

scholarly journals Determination of Temperature of Components of Cotton-Raw Material in a Drum Dryer with a Constant

2021 ◽  
Vol 939 (1) ◽  
pp. 012052
Author(s):  
A Z Mamatov ◽  
A K Usmankulov ◽  
I Z Abbazov ◽  
U A Norboyev ◽  
E T Mukhametshina
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Comparative Analysis ◽  
Boundary Value Problem ◽  
Parabolic Type ◽  
Raw Material ◽  
Drying Process ◽  
Moisture State ◽  
Type Boundary

Abstract This article solves one parabolic-type boundary value problem for determining the heat-moisture state of raw cotton in drum dryers at a constant air temperature. Numerical results are obtained by the Bubnov – Galerkin method of the problem under consideration, a comparative analysis is carried out with experimental data. It is shown that the proposed mathematical model and its numerical algorithm adequately describe the drying process of raw cotton.

scholarly journals Construction of a mathematical model of the film absorber for sulfating two-component mixtures of organic substances

2021 ◽  
Vol 6 (6 (114)) ◽  
Author(s):  
Oleksandr Dzevochko ◽  
Mykhaylo Podustov ◽  
Alona Dzevochko ◽  
Vladimir Panasenko
Keyword(s):  
Mathematical Modeling ◽  
Experimental Data ◽  
Mathematical Model ◽  
Sulfur Trioxide ◽  
Coconut Oil ◽  
Molar Ratio ◽  
Organic Substances ◽  
Two Component ◽  
Gaseous Sulfur ◽  
The Mathematical Model

The processes that occur in film absorbers during the sulfation of two-component mixtures of organic substances are quite complex and require mathematical modeling. This paper reports the construction of a mathematical model that makes it possible to adequately describe the process of sulfation involving gaseous sulfur trioxide in the production of surfactants. Based on the model, it became possible to investigate this process for higher alcohols of fractions С12–С14 and monoethanolamides of higher fatty acids of coconut oil. The data are given on the comparison of mathematical modeling results based on the mathematical model built with known experimental data and results of alternative mathematical modeling for different ratios of the length of the reaction pipe to its diameter (l/d). It is shown that the error in comparing the experimental data was 4.8–9.6 % at l l/d=29; 1.1–8.7 % at l/d=70; 3.9–12.3 % at l/d=144. The error in comparing known results of alternative mathematical modeling was, respectively, 6.3–7.2 %, 0.1–6.5 %, 0–1.0 %. These results were obtained for the molar ratio in the range of 1.0–1.15 and the SO3 concentration in the stream of 4.0–6.0 %. Such findings suggest that the established dependences of the basic parameters for the sulfation process are adequate in terms of the absorber length and its radial direction. Therefore, the mathematical model built does hold within the considered ranges of input variables. Consequently, it could be used in the theoretical study of the process of sulfation of two-component mixtures of organic substances by gaseous sulfur trioxide in a film absorber with a downward flow of phases. The results obtained could be used in practice, in particular in the manufacture of high-quality products for the cosmetic industry.

scholarly journals Experimental studies of the method of mutual load of induction motors

2020 ◽  
pp. 44-49
Author(s):  
V. V. Kharlamov ◽  
◽  
D. I. Popov ◽  
P. S. Sokolov ◽  
L. E. Serkova ◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Experimental Data ◽  
Mathematical Model ◽  
Induction Motors ◽  
Experimental Studies ◽  
Electromechanical System ◽  
Experimental Equipment ◽  
Frequency Converters ◽  
Parameter Values ◽  
The Mathematical Model

The article presents the results of comparison of experimental studies and mathematical modeling of the stand for testing induction motors by the method of mutual load. A detailed description of the composition of the experimental equipment, which is based on a pair of frequency converters and connected to them a pair of engines of the АИС71В4 type with a nominal power of 0,75 kW, the shafts of which are rigidly connected by a coupling. The mathematical model of the electromechanical system used in the calculations is presented, and its main assumptions are listed. A table of parameter values and graphs obtained from calculated and experimental data are presented. The analysis of the obtained data shows the possibility of using the considered mathematical model with the existing assumptions in the design of electrical complexes intended for testing induction motors by the method of mutual load

scholarly journals Mathematical Modelling of Electric Discharge Machining of Al (6351)-SiC-B4C Hybrid Composite

2020 ◽  
Vol 8 (4S4) ◽  
pp. 163-166
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Surface Roughness ◽  
Mathematical Modelling ◽  
Electric Discharge ◽  
Electrode Wear ◽  
Electric Discharge Machining ◽  
Pulse On Time ◽  
The Mathematical Model ◽  
Time Pulse

The Electric Discharge Machining (EDM) has emerged as one of the major machining method for the machining of hard-to- machine materials and composites. This paper aims at creating a mathematical model for the machining of the Al(6351)-SiC-B4C composites based on the experimental data and compare the same to identify the level of errors between the mathematical model and the experimental results. This paper was aimed as an attempt to develop a mathematical model for the output parameters viz. Electrode Wear ratio and Surface roughness based on the input parameters viz. current, pulse-on-time, pulse duty-factor and gap voltage.

Analytical description of sodium halogenides melts specific electric conductivity and its calculation for sodium astatide melt

2019 ◽  
Vol 60 (12) ◽  
pp. 125-132
Author(s):  
Ivan K. Garkushin ◽  
◽  
Olga V. Lavrenteva ◽  
Karina R. Gilmanova ◽  
Yana A. Andreeva ◽  
...  
Keyword(s):  
Electrical Conductivity ◽  
Comparative Analysis ◽  
Ionic Radius ◽  
Specific Conductivity ◽  
Analytical Description ◽  
Specific Electrical Conductivity ◽  
Specific Electric Conductivity ◽  
Straight Line ◽  
Direct Equation ◽  
The Individual

The paper presents analytical and graphical dependences of the individual haloganides melts specific electrical conductivity æ of the sodium NaHal series (Hal – F, Cl, Br, I) on the halogen order number Z, ionic radius r of haloganide-ion Hal–, halogen ionic potential 1/r, reduced ionic radius r/Z, difference of electronegativity (∆χ = χ(Hal) – χ(Na)): æ = f(Z); æ = f(r); æ = f(1/r); æ = f(r/Z); æ = f(∆χ) for the temperature higher melting temperatures on 5, 10, 50, 75, 100, 150 и 200°. M.Kh. Karapetyans сomparative methods were applied for the description. The minimum standard deviation and maximum correlation coefficient corresponds to the equation æ–1 = a + bexp1/r, according to which the numerical values of æ(NaAt) are calculated for real temperatures. The temperature dependence æ of the NaAt melt is described by the equation æ = 0.0508+0.0023Т. A comparative analysis of the relationship between the specific electrical conductivity of NaHal melts at a temperature of Tm + n (n = 10 ... 200° higher the melting temperature) and æ at (Tm + 5°). A comparative analysis is represented by straightforward dependencies. It was shown that the specific electrical conductivity of the NaAt melt is related to the electrical conductivity of LiAt by the direct equation æ(NaAt) = 0.035+0.607æ(LiAt). The straight line equationalso relates æ of the NaHal melt (Hal – F, Br, I, At) to the specific conductivity of the NaCl melt. Between the numerical values of the specific electrical conductivity of the sodium astatide (NaAt) melt calculated by different methods, consistent data were obtained.

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