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1

Lipatov, D. V., S. A. Skladchikov, N. P. Savenkova, V. V. Novoderezkin, and Ph I. Vysikailo. "Mathematical modeling of fluid movement inside the eyeball during intravitreal injection." Russian Ophthalmological Journal 15, no. 2 (2022): 37–41. http://dx.doi.org/10.21516/2072-0076-2022-15-2-37-41.

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Intravitreal injections show an avalanche-like growth the world over. Purposes: 1) create a mathematical model of the eyeball and fluid movement inside the eye, assuming the simplified structure of the vitreous body (without tanks); 2) estimate the time span when the drug substance remains in the cavity of the vitreous body until it is completely washed out, depending on the injection site; 3) observe and evaluate the path of drug movement in the vitreous body cavity; 4) evaluate the variation of time when the drug is located in the vitreous body cavity, depending on the presence or absence of
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2

Mavridis, H., A. N. Hrymak, and J. Vlachopoulos. "Mathematical modeling of injection mold filling: A review." Advances in Polymer Technology 6, no. 4 (1986): 457–66. http://dx.doi.org/10.1002/adv.1986.060060404.

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3

Akin, Serhat. "Mathematical Modeling of Steam Assisted Gravity Drainage." SPE Reservoir Evaluation & Engineering 8, no. 05 (2005): 372–76. http://dx.doi.org/10.2118/86963-pa.

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Summary A mathematical model for gravity drainage in heavy-oil reservoirs and tar sands during steam injection in linear geometry is proposed. The mathematical model is based on the experimental observations that the steam-zone shape is an inverted triangle with the vertex fixed at the bottom production well. Both temperature and asphaltene content dependence on the viscosity of the drained heavy oil are considered. The developed model has been validated with experimental data presented in the literature. The heavy-oil production rate conforms well to previously published data covering a wide
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4

Tilliander, A., T. L. I. Jonsson, and P. G. Jönsson. "Fundamental Mathematical Modeling of Gas Injection in AOD Converters." ISIJ International 44, no. 2 (2004): 326–33. http://dx.doi.org/10.2355/isijinternational.44.326.

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5

Lagutkin, M. G., and S. V. Isaev. "Mathematical modeling of gas injection in a vortical ejector." Chemical and Petroleum Engineering 47, no. 7-8 (2011): 507–12. http://dx.doi.org/10.1007/s10556-011-9501-3.

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6

Huang, Mingzhan, and Xinyu Song. "Modeling and qualitative analysis of diabetes therapies with state feedback control." International Journal of Biomathematics 07, no. 04 (2014): 1450035. http://dx.doi.org/10.1142/s1793524514500351.

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For the therapies of diabetes mellitus, a novel mathematical model with two state impulses: impulsive injection of insulin and impulsive injection of glucagon, is proposed. To avoid hypoglycemia and hyperglycemia, the injections of insulin and glucagon are determined by closely monitoring the plasma glucose level of the patients. By using differential equation geometry theory, the existence of periodic solution and the attraction region of the system have been obtained, which ensures that injections in such an automated way can keep the blood glucose concentration under control. The simulation
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7

Wudneh, Ketema Moges. "MODELING INFECTIOUS DISEASE: DETERMINISTIC AND STOCHASTIC SACR MODELS." International Journal of Current Research and Modern Education (IJCRME) 5, no. 1 (2020): 27–34. https://doi.org/10.5281/zenodo.3906814.

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Infectious diseases have been a great concern in human community. The transmission of hepatitis C occurs primarily through injecting drug user and it is mainly associated with the sharing of contaminated syringes or needles, although evidence for risk of hepatitis C infection through sharing of other injecting equipment is increasing. To measured seroprevalence of hepatitis virus (HCV) infection among injection drug users (IDU) using deterministic and stochastic models and investigate how the model parameters depend on the population size. The mathematical model quantiles the transmission of H
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8

Khudjaev, M., and A. Rakhimov. "Gas flow modeling in wells." Journal of Physics: Conference Series 2131, no. 5 (2021): 052075. http://dx.doi.org/10.1088/1742-6596/2131/5/052075.

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Abstract The topic of research is gas flow modeling in wells. The subject of the study is to determine the dynamic parameters of gas in a gas well, taking into account changes in the ambient temperature and gravity. Mathematical and numerical modeling of gas flow in a gas well is performed; a numerical algorithm to determine gas pressure in a gas well is built. This algorithm allows studying the state of production and injection wells with varying conditions at the wellhead and at the lower end of the well. Research methods are based on the energy equations of the transported gas; the mass con
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9

Jia, Xinfeng, Jiawei Li, Riyi Lin, and Zhangxin Chen. "Mathematical modeling of dynamic mass transfer in cyclic solvent injection." Journal of Petroleum Science and Engineering 184 (January 2020): 106573. http://dx.doi.org/10.1016/j.petrol.2019.106573.

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10

Malkin, Alexander Ya, Victor V. Kuznetsov, Ingo Kleba, and Walter Michaeli. "Modeling of structural reaction injection molding process. I. Mathematical model." Polymer Engineering & Science 41, no. 5 (2001): 850–57. http://dx.doi.org/10.1002/pen.10782.

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11

Stavljanin, Miloljub. "Mathematical modeling and identification of the mathematical model parameters of diesel fuel injection systems." Vojnotehnicki glasnik 65, no. 2 (2017): 421–41. http://dx.doi.org/10.5937/vojtehg65-10772.

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12

Kolev, Spas D. "Mathematical modelling of flow-injection systems." Analytica Chimica Acta 308, no. 1-3 (1995): 36–66. http://dx.doi.org/10.1016/0003-2670(94)00574-6.

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13

Varshneya, Meera, Xueyan Mei, and Eric A. Sobie. "Prediction of arrhythmia susceptibility through mathematical modeling and machine learning." Proceedings of the National Academy of Sciences 118, no. 37 (2021): e2104019118. http://dx.doi.org/10.1073/pnas.2104019118.

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At present, the QT interval on the electrocardiographic (ECG) waveform is the most common metric for assessing an individual’s susceptibility to ventricular arrhythmias, with a long QT, or, at the cellular level, a long action potential duration (APD) considered high risk. However, the limitations of this simple approach have long been recognized. Here, we sought to improve prediction of arrhythmia susceptibility by combining mechanistic mathematical modeling with machine learning (ML). Simulations with a model of the ventricular myocyte were performed to develop a large heterogenous populatio
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14

Niziaiev, Kostiantyn, and Vadym Khotiun. "Criterion assessment of the efficiency of injection equipment during the injection of powdered ferroalloys." Scientific journal of the Ternopil national technical university 107, no. 3 (2022): 60–66. http://dx.doi.org/10.33108/visnyk_tntu2022.03.060.

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The purpose of the work is determining the efficiency of injection equipment with the injection of ferroalloys of different fractional composition, density and flow deep into the iron-carbon melt, taking into account the parameters of injection equipment (length and diameter of the pipeline and pressure in the powder-feeder). The analytical review of the literature is performed, which confirmed the advantage of powder injection in a teeming ladle compared to traditional technologies of deoxidation and alloying. Based on known mathematical models adapted to specific technological conditions, ma
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15

Lipatov, D. V., S. A. Skladchikov, N. P. Savenkova, and V. V. Novoderezkin. "Mathematical modeling of fluid movement inside the eyeball during intravitreal injection." Modern technologies in ophtalmology, no. 3 (July 15, 2021): 106–9. http://dx.doi.org/10.25276/2312-4911-2021-3-106-109.

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Background. The avalanche-like growth of intravitreal injections in the world has significantly increased interest in the hemodynamics of the processes that occur in the eye when a drug is injected into the vitreous cavity. Every year, the number of intravitreally used drugs and promising areas in which they can be used is growing. This also applies to the creation of new combined medicines and the development of drugs with a long-term therapeutic effect. Aims. Create mathematical model of eyeball to evaluate the movement of the drug substance in it; to estimate the time of the drug's presence
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16

Khasanov, M. K., S. L. Borodin, and M. V. Stolpovsky. "Mathematical Modeling of Water Vapor Injection into a Saturated Porous Medium." Lobachevskii Journal of Mathematics 45, no. 5 (2024): 2049–57. http://dx.doi.org/10.1134/s1995080224602236.

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17

Tion Puay, How, and Takashi Hosoda. "Mathematical Modeling of the Injection of Grout into a Horizontal Slot." International Journal of Geomechanics 16, no. 4 (2016): 06015011. http://dx.doi.org/10.1061/(asce)gm.1943-5622.0000566.

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18

Fyodorov, Konstantin M., Aleksandr P. Shevelev, Aleksandr Ya Gil’manov, Aleksey A. Izotov, and Aleksandr V. Kobyashev. "A NEW APPROACH FOR MODELING THE DEVELOPMENT OF INJECTION-INDUCED HYDRAULIC FRACTURES." Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, no. 91 (2024): 125–40. http://dx.doi.org/10.17223/19988621/91/11.

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A new approach for modeling the development of injection-induced hydraulic fractures is proposed in this paper. The fracture is assumed to be elliptical in the crosssection. The initial fracture length is determined by the mass conservation law and Darcy's law. A quasi-stationary mathematical model of injection-induced hydraulic fracture growth is based on the specification of two characteristic areas of the fracture: in the first, the dispersed particles settle down near the boundaries of the developed fracture; in the second, the fracture expands with the retarded motion of the suspension fr
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19

Zhang, Jie, Hai Wei Ye, Kang Wen Li, Gang Wang, and Feng Li. "Numerical Simulation of Mold Filling Process for Wax Pattern of the Impeller in Investment Casting." Applied Mechanics and Materials 80-81 (July 2011): 965–68. http://dx.doi.org/10.4028/www.scientific.net/amm.80-81.965.

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This paper try to analyze the rheological behavior during the wax injection, and build a mathematical model to simulate the wax injection process. By using Moldflow, simulate a wax pattern with different ingate configurations to optimize the injection modeling product design. This study helps to improve the model design quality, shorten the development cycles, lower down the overall cost and enhanced competition in market.
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20

Wilczyński, Krzysztof, Krzysztof J. Wilczyński, and Kamila Buziak. "Modeling and Experimental Studies on Polymer Melting and Flow in Injection Molding." Polymers 14, no. 10 (2022): 2106. http://dx.doi.org/10.3390/polym14102106.

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Injection molding, in addition to extrusion, is the most important technology in the polymer processing industry. When modeling injection molding, the global approach is necessary to take into account the solid polymer transport, polymer melting and the polymer melt flow. The model of polymer melting is fundamental for the development of such a global injection molding model. In the paper, the state-of-the-art of modeling and experimentation of the flow and melting in injection molding machines has been presented and discussed. It has been concluded that the existing mathematical models have n
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21

Chistyakov, A. Yu, G. B. Gorelik, and O. N. Mozolev. "Modeling the processes of fuel supply during the operation of marine diesel engine using water-fuel emulsion." Transactions of the Krylov State Research Centre S-I, no. 1 (2021): 152–54. http://dx.doi.org/10.24937/2542-2324-2021-1-s-i-152-154.

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The article presents the results of the mathematical modeling of marine diesel’s fuel supply processes during the screw characteristic while using diesel fuel and water-fuel emulsion with 30% water content as alternative fuel. As a result of the research, the features of the fuel supply processes and the effect of alternative fuel on the serial fuel equipment injection characteristics during operation in nominal and partial modes were identified. Considering the quality of fuel equipment operation the following features were taken into account, they are: changing fuel supply characteristics; f
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22

Polovinka, E. M. "MODELING OF FUEL INJECTION PROCESSES OF RT-FLEX ENGINES ACCUMULATOR COMMON RAIL FUEL INJECTION SYSTEM." Ship power plants 39, no. 1 (2019): 115–28. http://dx.doi.org/10.31653/smf39.2019.115-128.

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The summary: the article presents hydrodynamic processes modeling results of RT-flex engines common rail fuel injection accumulator system. The analysis of the structural elements of the system is given; their functions and their combined action algorithm are considered. A mathematical model of fuel injection processes has been developed and their computer model created. The calculation procedure has been worked out; the example of calculation has been completed. The analysis of processes in the main elements and sections of the system has been performed.
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23

Bunev, V. A., A. A. Korzhavin, A. P. Senachin, and P. K. Senachin. "Fuel ignition delay in hydrogen diesel." Journal of Physics: Conference Series 2233, no. 1 (2022): 012008. http://dx.doi.org/10.1088/1742-6596/2233/1/012008.

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Abstract A new mathematical model is considered for modeling the induction period of fuel self-ignition in a hydrogen diesel engine with high-pressure injection equipment. Reconstruction of the macrokinetic equation and numerical modeling of the process of self-ignition of fuel in a hydrogen diesel engine are carried out.
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24

RASHKEVICH, H., V. YUSHCHENKO, E. MAKAROV, and A. DEMENCHUK. "ANALYSIS OF THE MATHEMATICAL MODEL OF "CHARGING" OXYGEN OF WATER-BEARING ROCKS IN THE PROCESS OF IN-SITU TREATMENT OF GROUNDWATER." Herald of Polotsk State University. Series F. Civil engineering. Applied sciences, no. 2 (October 31, 2023): 38–46. http://dx.doi.org/10.52928/2070-1683-2023-34-2-38-46.

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The article describes the method of in-situ groundwater treatment technology, the conditions for modeling the process
 of water injection into the water-bearing rock, the analysis of the obtained mathematical equations.
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25

Vajpayee, Srajan, Tanmay Rawat, and Vandan Bhalala. "Mathematical modeling of thermal enhanced oil recovery method." i-manager's Journal on Mechanical Engineering 13, no. 1 (2023): 9. http://dx.doi.org/10.26634/jme.13.1.19019.

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The demand for petroleum is increasing steadily, with the International Energy Agency (IEA) projecting that the world's petroleum expenditure will rise from 3564 Million Tonnes of Oil Equivalent (MTOE) in 2007 to as much as 5471 MTOE in 2015 and 6301 MTOE in 2030. More than two-thirds of the oil discovered around the world remains unrecovered; 40–70% of the original oil is still left in place after using conventional production techniques, namely, primary and secondary recovery techniques. This paper is based on the use of the Thermal Enhanced Oil Recovery (TEOR) method in a Sudanese oil field
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26

Osetrov, Oleksandr, and Rainer Haas. "Modeling Homogeneous, Stratified, and Diffusion Combustion in Hydrogen SI Engines Using the Wiebe Approach." Energies 18, no. 12 (2025): 3004. https://doi.org/10.3390/en18123004.

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The use of hydrogen as a fuel for piston engines enables environmentally friendly and efficient operation. However, several challenges arise in the combustion process, limiting the development of hydrogen engines. These challenges include abnormal combustion, the high burning velocity of hydrogen-enriched mixtures, increased nitrogen oxide emissions, and others. A rational organization of hydrogen combustion can partially or fully mitigate these issues through the use of advanced methods such as late direct injection, charge stratification, dual injection, jet-guided operation, and others. How
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27

Kolev, Spas D., and Erno Pungor. "Mathematical modeling of single-line flow-injection analysis systems without chemical reaction." Analytical Chemistry 60, no. 17 (1988): 1700–1709. http://dx.doi.org/10.1021/ac00168a014.

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28

Chien, Ring Ling. "Mathematical modeling of field-amplified sample injection in high-performance capillary electrophoresis." Analytical Chemistry 63, no. 24 (1991): 2866–69. http://dx.doi.org/10.1021/ac00024a012.

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29

Dubrov, A. V., F. Kh Mirzade, and V. D. Dubrov. "Mathematical modeling of thermal behavior for additive manufacturing with metal powder injection." Procedia Engineering 201 (2017): 478–88. http://dx.doi.org/10.1016/j.proeng.2017.09.618.

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30

Ramakrishnan, V., and P. S. T. Sai. "Mathematical modeling of pneumatic char injection in a direct reduction rotary kiln." Metallurgical and Materials Transactions B 30, no. 5 (1999): 969–77. http://dx.doi.org/10.1007/s11663-999-0102-x.

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31

Aleksandrova, I. V., A. A. Belolipetskiy, E. R. Koresheva, and S. M. Tolokonnikov. "Survivability of fuel layers with a different structure under conditions of the environmental effects: Physical concept and modeling results." Laser and Particle Beams 26, no. 4 (2008): 643–48. http://dx.doi.org/10.1017/s0263034608000621.

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AbstractThis report addresses the physical concept and the results of mathematical modeling of cryogenic layer degrading caused by its radiation heating during direct drive target injection into the reaction chamber. Special attention is paid to the influence of a solid layer structure on the roughening of the layer surface that is of critical importance for the development of target injection scenario.
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32

Yin, Yan Fang. "Modeling and Analysis of Process Parameters for Plastic Injection Molding of Base-Cover." Advanced Materials Research 602-604 (December 2012): 1930–33. http://dx.doi.org/10.4028/www.scientific.net/amr.602-604.1930.

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The quality of the plastic part depends on the material characteristics, the mold design, and the process parameters, one of which is more important. It involves many sub-design tasks that determine the cost and performance in the early conceptual mold layout design phase. Base-Cover was injection molded with acrylonitrile–butadiene–styrene (ABS)/polycarbonate (PC) [ABS/PC] alloy resin and its process parameters was analyzed by commercial Moldflow software. The optimum gate location and melt filling time were determined, and the optimum injection temperature was obtained by analyzing the shrin
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33

Anisimov, Victor, and Vasyl Muzychuk. "DETERMINATION OF RESIDUAL FUEL RESOURCE AUTOTRACTOR DIESEL EQUIPMENT BY MATHEMATICAL MODELING WITH METHOD APPLICATION SMALL DEVELOPMENTS." ENGINEERING, ENERGY, TRANSPORT AIC, no. 3(110) (October 30, 2020): 4–15. http://dx.doi.org/10.37128/2520-6168-2020-3-1.

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The reliability of automotive internal combustion engines is a function of the reliability of their mechanisms and systems. For many years, domestic and foreign engineers have tested many auto-tractor internal combustion engines and it has been proven that if mathematical models reliably describe physical phenomena, cycles or processes that take place in engines, then the theory of small deviations for theoretical research is much better than any experiment on control characteristics and many second parameters The theory of small deviations for fuel equipment of autotractor diesel engines is c
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34

Choi, J., L. Han, and Y. Hua. "Modeling and Experiments of Laser Cladding With Droplet Injection." Journal of Heat Transfer 127, no. 9 (2005): 978–86. http://dx.doi.org/10.1115/1.2005273.

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Laser aided Directed Material Deposition (DMD) is an additive manufacturing process based on laser cladding. A full understanding of laser cladding is essential in order to achieve a steady state and robust DMD process. A two dimensional mathematical model of laser cladding with droplet injection was developed to understand the influence of fluid flow on the mixing, dilution depth, and deposition dimension, while incorporating melting, solidification, and evaporation phenomena. The fluid flow in the melt pool that is driven by thermal capillary convection and an energy balance at the liquid–va
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35

Samaranayake, Lilantha, Carlos E. Ugalde-Loo, Oluwole D. Adeuyi, John Licari, and Janaka B. Ekanayake. "Multi-Terminal DC Grid with Wind Power Injection." Wind 2, no. 1 (2022): 17–36. http://dx.doi.org/10.3390/wind2010002.

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With the development of offshore wind generation, the interest in cross-country connections is also increasing, which requires models to study their complex static and dynamic behaviors. This paper presents the mathematical modeling of an offshore wind farm integrated into a cross-country HVDC network forming a multi-terminal high-voltage DC (MTDC) network. The voltage source converter models were added with the control of active power, reactive power, frequency, and DC link voltages at appropriate nodes in the MTDC, resembling a typical cross-country multi-terminal type of HVDC scenario. The
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36

Maherramova, S. D. "Improvement of efficiency of the process of extraction of condensate on gas-condensate deposits with various development modes." SOCAR Proceedings, no. 3 (September 30, 2021): 63–67. http://dx.doi.org/10.5510/ogp20210300530.

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On the basis of mathematical modeling, the possibilities of increasing the condensate recovery coefficient at gas-condensate deposits under different development regimes are investigated. It has been established that the final condensate recovery coefficient significantly increases compared to the depletion development regime by maintaining reservoir pressure using nitrogen, also carbon dioxide, and their results are comparable to the corresponding dry gas injection results. Keywords: permeability; porosity; pressure; condensate recovery factor; nitrogen injection.
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37

Valencia, Juan D., Juan M. Mejía, Matteo Icardi, and Richard Zabala. "Mathematical Modeling and Pilot Test Validation of Nanoparticles Injection in Heavy Hydrocarbon Reservoirs." Fluids 7, no. 4 (2022): 135. http://dx.doi.org/10.3390/fluids7040135.

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Heavy-oil mobility in reservoir rocks can be improved, using nanotechnology, by reducing the viscosity of the oil and improving the rock wettability to a water-wet condition. Previous pilot studies in Colombian heavy oil fields reported that nanoparticles dispersed in an oleic carrier fluid (diesel) increased oil production rates between 120–150% higher than before the interventions. However, to optimally deploy a massive nanofluid intervention campaign in heavy oil fields, it is valuable to implement simulation tools that can help to understand the role of operational parameters, to design th
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38

Davletbaev, A. Ya. "Mathematical Modeling of Solvent Injection/Electromagnetic Irradiation in the Vertical Well: Numerical Study." Proceedings of the Mavlyutov Institute of Mechanics 6 (2008): 45–50. http://dx.doi.org/10.21662/uim2008.1.006.

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In the work consider the results of numerical study of radio-frequency (RF) electromagnetic (EM) irradiation and solvent injection in the heavy oil formation. The mathematical model takes account the cross-flow heat and mass transfer effects of a multicomponent system in a porous medium under the RF EM irradiation. The analysis of the results of numerical calculations of the technology of heavy oil production is given.
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39

Tsypkin, G. G., C. Calore, and M. Marcolini. "Mathematical modeling of cold water injection into a depleted high-temperature geothermal reservoir." High Temperature 44, no. 3 (2006): 450–57. http://dx.doi.org/10.1007/s10740-006-0056-5.

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40

Cha, Ki Young, and Robert C. Borden. "Impact of injection system design on ISCO performance with permanganate — mathematical modeling results." Journal of Contaminant Hydrology 128, no. 1-4 (2012): 33–46. http://dx.doi.org/10.1016/j.jconhyd.2011.10.001.

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41

Eftekhari, Ali Akbar, Karl Heinz Wolf, Jan Rogut, and Hans Bruining. "Mathematical modeling of alternating injection of oxygen and steam in underground coal gasification." International Journal of Coal Geology 150-151 (October 2015): 154–65. http://dx.doi.org/10.1016/j.coal.2015.08.008.

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42

Guo, Tong-Lai, Man-Sheng Chu, Zheng-Gen Liu, Jue Tang, and Jun-Ichiro Yagi. "Mathematical Modeling and Exergy Analysis of Blast Furnace Operation With Natural Gas Injection." steel research international 84, no. 4 (2012): 333–43. http://dx.doi.org/10.1002/srin.201200172.

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43

Morgun, Alla, and Tian Zhengfen. "PREDICTION OF THE BEARING CAPACITY OF BORED INJECTION PILES USING THE BOUNDARY ELEMENT METHOD." Modern technology, materials and design in construction 36, no. 1 (2024): 81–85. http://dx.doi.org/10.31649/2311-1429-2024-1-81-85.

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The article discusses the method for predicting the bearing capacity of bored injection piles constructed using the "Soletanche" technology, employing the Boundary Element Method (BEM). Considering that bored injection piles compact the soil during their installation, the study of the stress-strain state (SSS) of such structures is highly relevant. The authors conducted mathematical modeling of the deformation process of a bored injection pile in loess clay, using solutions from an elastoplastic soil mechanics problem. The modeling was performed using an integral equation, which allows reducin
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44

do Nascimento Santos, Mariana Julie, Guilherme Luiz de Oliveira Neto, Ana Raquel Carmo de Lima, et al. "Resin Radial and Isothermal Infiltration in Fibrous Media: A New Mathematical Formulation." Defect and Diffusion Forum 400 (March 2020): 123–34. http://dx.doi.org/10.4028/www.scientific.net/ddf.400.123.

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The objective of this work is to describe the fluid flow in porous media including the sorption term of the fluid by the fibers. The study has been applied to the manufacture of fiber-reinforced polymer composites by resin transfer molding, giving emphasis to radial resin infiltration in a one-dimensional approach. The mass conservation equation and Darcy’s law are presented and the solution of the governing equation is obtained. The advanced mathematical modeling includes the effect of fluid sorption by the porous media. Predicted flow front results and resin pressure fields within the mold d
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45

Minkov, Leonid, Johann Dueck, Mohamed M. A. Hassan, Mahrous A. M. Ali, and Mohamed G. Farghaly. "Optimizing the separation characteristics of the waterinjection hydrocyclone using mathematical modelling." Mining of Mineral Deposits 15, no. 4 (2021): 114–21. http://dx.doi.org/10.33271/mining15.04.114.

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Purpose. Although the hydrocyclone separator has many advantages, it still has some limitations which decrease its separation efficiency in many mineral processing applications because of fine particles which are miss separated to the coarse product in the underflow. Water injection in the conical part of the cyclone was recently implemented to solve this problem. The water injection mechanism and the way in which the injected water affects the separation are still not clear and need to be more investigated. Methods. New design of water injection hydrocyclone was tried using a modified conical
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46

Carpenter, Chris. "Fracture-Matrix Modeling Technique Unlocks CO2 Enhanced Shale Gas Recovery." Journal of Petroleum Technology 74, no. 01 (2022): 56–59. http://dx.doi.org/10.2118/0122-0056-jpt.

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This article, written by JPT Technology Editor Chris Carpenter, contains highlights of paper SPE 202222, “Fracture-Matrix Modeling of CO2 Enhanced Shale Gas Recovery in Compressible Shale,” by Dhruvit Satishchandra Berawala, SPE, Equinor, and Pål Østebø Andersen, University of Stavanger. The paper has not been peer reviewed. With technology available at the time of writing, only 3–10% of gas from tight shale is recovered economically through natural depletion, demonstrating a significant potential for enhanced shale gas recovery (ESGR). Experimental studies have demonstrated that shale kerogen/
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Petrov, Nikolay P., Svetlana N. Petrova, and Natalya V. Korzhavina. "Mathematical modeling of the filtration flows movement in contaminated wells." E3S Web of Conferences 537 (2024): 06007. http://dx.doi.org/10.1051/e3sconf/202453706007.

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Within the framework of this article, examples of solving specific problems related to the flow of fluid to a well in basin conditions and the flow of groundwater in limited layers, affecting environmental pollution, are considered. The purpose of the work is to study the use of complex potentials in the study of well performance in limited areas, to describe the performance of wells in systems of production and injection wells. The research hypothesis is that under conditions of natural migration and accepted limitations, streamlines and equipotentials can play the role of impermeable boundar
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48

Akbarzadeh, Alireza, and Mohammad Sadeghi. "Optimization of Shrinkage in Plastic Injection Molding Process Using Statistical Methods and SA Algorithm." Applied Mechanics and Materials 110-116 (October 2011): 4227–33. http://dx.doi.org/10.4028/www.scientific.net/amm.110-116.4227.

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— Dimensional changes because of shrinkage is one of the most important problems in production of plastic part using injection molding. In this study, effect of injection molding parameters on the shrinkage in polypropylene (PP) and polystyrene (PS) has been investigated. The relationship between input and output of the process is investigated using regression analysis and ANOVA method. To do this, existing data is used. The selected input parameters are melting temperature, injection pressure, packing pressure and packing time. Effect of these parameters on the shrinkage of above mentioned ma
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Gomez, Justin, Nathanael Holmes, Austin Hansen, et al. "Mathematical modeling of therapeutic neural stem cell migration in mouse brain with and without brain tumors." Mathematical Biosciences and Engineering 19, no. 3 (2022): 2592–615. http://dx.doi.org/10.3934/mbe.2022119.

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<abstract><p>Neural stem cells (NSCs) offer a potential solution to treating brain tumors. This is because NSCs can circumvent the blood-brain barrier and migrate to areas of damage in the central nervous system, including tumors, stroke, and wound injuries. However, for successful clinical application of NSC treatment, a sufficient number of viable cells must reach the diseased or damaged area(s) in the brain, and evidence suggests that it may be affected by the paths the NSCs take through the brain, as well as the locations of tumors. To study the NSC migration in brain, we devel
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Musakaev, N. G., S. L. Borodin, and D. S. Belskikh. "MATHEMATICAL MODELING OF HEATED GAS DISSOCIATION PROCESS INTO THE RESERVOIR SATURATED WITH METHANE AND ITS HYDRATE." Oil and Gas Studies, no. 4 (August 30, 2018): 68–74. http://dx.doi.org/10.31660/0445-0108-2018-4-68-74.

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The article presents the mathematical modeling of heated gas dissociation process into the reservoir saturated with methane and its hydrate. We studied how different factors has affected the dissociation process. The article shows that the gas hydrate dissociation in porous medium originates on a frontal border during the injection of heated gas.
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