scholarly journals Mathematical assessment of the depth of the passive method of induced polarization based on experimental data

2021 ◽  
Vol 2094 (5) ◽  
pp. 052007
Author(s):  
P V Belolipetskii ◽  
V S Potylitsyn ◽  
G Y Shajdurov ◽  
V V Romanov
Keyword(s):  
Mathematical Modeling ◽  
Experimental Data ◽  
Induced Polarization ◽  
Field Observations ◽  
Passive Method ◽  
Proposed Model ◽  
Numerical Assessment ◽  
Exploration Drilling ◽  
Polarization Coefficient ◽  
The Mathematical Model

Abstract The article discusses a numerical model for assessing the depth for the passive method of induced polarization based on previously obtained experimental data at the Samson field (Republic of Khakassia). The model is based on the mathematical model of Komarov, who derived equations for the anomalous polarizability of a sphere observed on the Earth’s day surface, the proposed model for estimating the depth of the anomaly depends on the size of the proposed field and the induced polarization coefficient observed on the surface. In the course of the numerical assessment, it was shown that there is a convergence of data from field observations, exploration drilling and mathematical modeling.

Methods of Mathematical Modeling of the Leaching Process of Cobalt-Containing Solutions

2021 ◽  
Vol 316 ◽  
pp. 661-666
Author(s):  
Nataliya V. Mokrova
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Chemical Kinetics ◽  
Group Method ◽  
Data Handling ◽  
Multistage Processes ◽  
Leaching Process ◽  
Proposed Model ◽  
Simulation Results ◽  
The Mathematical Model

Current cobalt processing practices are described. This article discusses the advantages of the group argument accounting method for mathematical modeling of the leaching process of cobalt solutions. Identification of the mathematical model of the cascade of reactors of cobalt-producing is presented. Group method of data handling is allowing: to eliminate the need to calculate quantities of chemical kinetics; to get the opportunity to take into account the results of mixed experiments; to exclude the influence of random interference on the simulation results. The proposed model confirms the capabilities of the group method of data handling for describing multistage processes.

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

MATHEMATICAL MODELING OF IN-VIVO TUMOR-IMMUNE INTERACTIONS FOR THE CANCER IMMUNOTHERAPY USING MATURED DENDRITIC CELLS

2018 ◽  
Vol 26 (01) ◽  
pp. 167-188 ◽  
Author(s):  
ABAZAR ARABAMERI ◽  
DAVUD ASEMANI ◽  
JAMSHID HAJATI
Keyword(s):  
Mathematical Modeling ◽  
Experimental Data ◽  
Genetic Algorithm ◽  
T Cells ◽  
Compartment Model ◽  
Helper T Cells ◽  
Effector Cells ◽  
Proposed Model ◽  
Immunological Mechanisms

To develop an anticancer drug, the mathematical models are nowadays indispensable because of complex immunological mechanisms defying with high experimentation costs as well as a large number of parameters. Based on immunological theories and vision of experimentation data, a simple and sufficient compartment model is designed that can accurately interpret and predict the effects of dendritic cell (DC)-based immunotherapy in accordance with experimentation data. The model includes effector cells, regulatory T cells, helper T cells, and DCs. A new key feature is the inclusion of immunotherapy with DCs matured with different materials. All the parameters of the model have been optimally obtained by fitting the experimental data using genetic algorithm. The proposed model has been used to predict a near-optimal pattern that minimizes tumor size after vaccination. This pattern has been validated by carrying out the associated in-vivo experimentation. The model recommends maturation materials and doses that activate a small amount of Treg in the early days and a large Th1/Treg ratio in the next days. The performance of the model compared with the previous study was shown to be superior, both qualitatively and quantitatively.

scholarly journals The Mathematical Modeling of Ca And Fe Distribution In Peat Layers

2015 ◽  
Vol 2 ◽  
pp. 40
Author(s):  
Ērika Teirumnieka ◽  
Ilmārs Kangro ◽  
Edmunds Teirumnieks ◽  
Harijs Kalis ◽  
Aigars Gedroics
Keyword(s):  
Mathematical Modeling ◽  
Experimental Data ◽  
Mathematical Model ◽  
Trace Elements ◽  
Mathematical Models ◽  
Organic Material ◽  
Low Concentrations ◽  
The Mathematical Model ◽  
Research Show

Bogs have been formed by an accumulation of peat - a light brown-to-black organic material, built up from partial decomposition of mosses and other bryophytes, sedges, grasses, shrubs, or trees under waterlogged conditions. The total peatlands area in Latvia covers 698 918 ha or 10.7% of the entire territory. Knowledge’s of peat metals content are important for any kind of peat using. Experimental determination of metals in peat is very long and expensive work. Using experimental data mathematical model for calculation of concentrations of metals in different points for different layers can help to very easy and fast to find approximately concentration of metals or trace elements. The results of the research show that concentrations of trace elements in peat are generally low. Concentrations differ between the superficial, middle and bottom peat layers, but the significance decreases depending on the type of mire. The mathematical model for calculation of concentration of metals in different points for different 3 layers in peat blocks is developed. As an example, mathematical models for calculation of Ca and Fe concentrations have been analyzed.

Drying of Sisal Fiber: Three-Dimensional Mathematical Modeling and Simulation

2020 ◽  
Vol 399 ◽  
pp. 202-207
Author(s):  
Jaqueline Félix de Brito Diniz ◽  
Gicélia Moreira ◽  
José Jefferson da Silva Nascimento ◽  
Rodolfo Pereira de Farias ◽  
Hortência Luma Fernandes Magalhães ◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Experimental Data ◽  
Mass Transfer ◽  
Moisture Content ◽  
Three Dimensional ◽  
Sisal Fiber ◽  
Average Moisture Content ◽  
Proposed Model ◽  
Volume Method ◽  
Good Agreement

This work presents a theoretical drying study of sisal fiber. Fibers with moisture content of around 11.2% were dried in an oven in the temperature 90°C. A transient and three-dimensional mathematical modeling to predict heat and mass transfer in a bed of fiber was proposed and numerically solved by using the finite-volume method. Results of the average moisture content and surface temperature were compared with experimental data to verify the consistence of the proposed model, and good agreement was verified.

Research on the Rice Leaf Morphological Formation and its Visualization

2011 ◽  
Vol 201-203 ◽  
pp. 2504-2508
Author(s):  
Hong Wei Liu ◽  
Yan Yang Liang ◽  
Hui Zhang
Keyword(s):  
Experimental Data ◽  
Growth Process ◽  
Leaf Morphology ◽  
Leaf Growth ◽  
Morphological Characteristics ◽  
Biological Parameters ◽  
Rice Leaf ◽  
Proposed Model ◽  
Simulation Results ◽  
The Mathematical Model

This paper firstly summarizes the morphological characteristics of rice leaf through observation of the rice leaf growth process. And then the mathematical model of the rice leaf growing is established based on experimental data. In this model, the vectorization of rice leaf morphology and growth process is realized by only several explicit biological parameters. The visualization of the rice leaf growth process is realized in computer by technique of computer graphics and the combination of VC++ and OpenGL. The simulation results show that the proposed model can simulate the growth process of the rice leaf very well on the computer easily with less parameter.

scholarly journals Methodology for predicting oily mixture properties in the mathematical modeling of molecular distillation

2017 ◽  
Vol 68 (2) ◽  
pp. 193 ◽  
Author(s):  
M. F. Gayol ◽  
M. C. Pramparo ◽  
S. M. Miró Erdmann
Keyword(s):  
Mathematical Modeling ◽  
Experimental Data ◽  
Mathematical Model ◽  
Molecular Distillation ◽  
Computer Code ◽  
Deodorizer Distillate ◽  
System Of Differential Equations ◽  
Prediction Of Properties ◽  
Implicit Finite Difference ◽  
The Mathematical Model

A methodology for predicting the thermodynamic and transport properties of a multi-component oily mixture, in which the different mixture components are grouped into a small number of pseudo components is shown. This prediction of properties is used in the mathematical modeling of molecular distillation, which consists of a system of differential equations in partial derivatives, according to the principles of the Transport Phenomena and is solved by an implicit finite difference method using a computer code. The mathematical model was validated with experimental data, specifically the molecular distillation of a deodorizer distillate (DD) of sunflower oil. The results obtained were satisfactory, with errors less than 10% with respect to the experimental data in a temperature range in which it is possible to apply the proposed method.

scholarly journals Impact Force Magnitude Analysis of an Impact Pendulum Suspended in a Vibrating Structure

2012 ◽  
Vol 19 (6) ◽  
pp. 1359-1372 ◽  
Author(s):  
R.R. Aguiar ◽  
H.I. Weber
Keyword(s):  
Mathematical Modeling ◽  
Experimental Data ◽  
Mathematical Model ◽  
Impact Force ◽  
Experimental Measurements ◽  
Force Magnitude ◽  
Force Profile ◽  
The Rich ◽  
The Impact ◽  
The Mathematical Model

The purpose of this work is the experimental investigation and the mathematical modeling of the impact force behavior in a vibro-impact system, where an impact pendulum is mounted on a cart that moves with a prescribed displacement. The dynamics of the system will be evaluated considering different excitation frequencies and changing the impact gap. Experimental data are used to validate the mathematical model. The mathematical model allows a detailed nonlinear analysis, showing the rich response of the system, which includes dynamical jumps, bifurcations and chaos. In impact systems, discrepancies between numerical results and experimental measurements are common due to the difficulty in describing all factors that influence the resulting impact force profile. The use of wires to suspend the impacting body has the purpose to limit these uncertainties.

THE DEVELOPMENT OF THE MATHEMATICAL MODEL OF PREDICTING THE INDICATORS OF ACCREDITATION OF TECHNICAL UNIVERSITIES IN THE RUSSIAN FEDERATION

2017 ◽  
pp. 27-38
Author(s):  
Olga Mikhaylovna Tikhonova ◽  
Alexander Fedorovich Rezchikov ◽  
Vladimir Andreevich Ivashchenko ◽  
Vadim Alekseevich Kushnikov
Keyword(s):  
Mathematical Model ◽  
System Dynamics ◽  
Regression Model ◽  
Oriented Graph ◽  
Real Data ◽  
Educational Process ◽  
Proposed Model ◽  
Linear Differential ◽  
The University ◽  
The Mathematical Model

The paper presents the system of predicting the indicators of accreditation of technical universities based on J. Forrester mechanism of system dynamics. According to analysis of cause-and-effect relationships between selected variables of the system (indicators of accreditation of the university) there was built the oriented graph. The complex of mathematical models developed to control the quality of training engineers in Russian higher educational institutions is based on this graph. The article presents an algorithm for constructing a model using one of the simulated variables as an example. The model is a system of non-linear differential equations, the modelling characteristics of the educational process being determined according to the solution of this system. The proposed algorithm for calculating these indicators is based on the system dynamics model and the regression model. The mathematical model is constructed on the basis of the model of system dynamics, which is further tested for compliance with real data using the regression model. The regression model is built on the available statistical data accumulated during the period of the university's work. The proposed approach is aimed at solving complex problems of managing the educational process in universities. The structure of the proposed model repeats the structure of cause-effect relationships in the system, and also provides the person responsible for managing quality control with the ability to quickly and adequately assess the performance of the system.

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