Academic literature on the topic 'Mathematical modeling of injection'

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Journal articles on the topic "Mathematical modeling of injection"

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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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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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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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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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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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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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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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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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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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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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Dissertations / Theses on the topic "Mathematical modeling of injection"

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Watson, Cody. "Modeling of pressure transients in fuel injection lines." Thesis, Georgia Institute of Technology, 1999. http://hdl.handle.net/1853/16869.

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Chen, Xu. "MATHEMATICAL MODELING OF THE IN-MOLD COATING PROCESS FOR INJECTION MOLDED THERMOPLASTIC PARTS." The Ohio State University, 2003. http://rave.ohiolink.edu/etdc/view?acc_num=osu1044377220.

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Gerry, Neil Leslie. "Mathematical modelling of the reaction and flow of polyurethane foams." Thesis, University of Exeter, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.293996.

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Anand, G. "Phenomenological and mathematical modeling of a high pressure steam driven jet injector /." The Ohio State University, 1993. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487842372897594.

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Penny, Melissa. "Mathematical modelling of dye-sensitised solar cells." Queensland University of Technology, 2006. http://eprints.qut.edu.au/16270/.

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This thesis presents a mathematical model of the nanoporous anode within a dyesensitised solar cell (DSC). The main purpose of this work is to investigate interfacial charge transfer and charge transport within the porous anode of the DSC under both illuminated and non-illuminated conditions. Within the porous anode we consider many of the charge transfer reactions associated with the electrolyte species, adsorbed dye molecules and semiconductor electrons at the semiconductor-dye- electrolyte interface. Each reaction at this interface is modelled explicitly via an electrochemical equation, res
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Foroozesh, Jalah. "Mathematical modelling and numerical simulation of carbonated water injection for enhanced oil recovery and CO2 storage." Thesis, Heriot-Watt University, 2015. http://hdl.handle.net/10399/3236.

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Numerical simulation of carbonated water injection (CWI) as an EOR and CO2 storage technique is studied in this thesis. When carbonated water (CO2 saturated water) contacts oil during injection into oil reservoirs, because of higher solubility of CO2 in hydrocarbons compared to water, CO2 will migrate from water into oil phase. Therefore, oil mobility, and in turn oil recovery, will increase. In addition, CO2 can also be stored securely in reservoir during CWI. The compositional simulation approach should be used for simulation of CWI in order to capture the mechanisms and the changes of compo
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Li, Liping. "Mathematical modeling of fluid flow and mixing in metallurgical reactors with bottom gas injections." Thesis, Massachusetts Institute of Technology, 1996. http://hdl.handle.net/1721.1/10685.

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Penny, Melissa. "Mathematical modelling of dye-sensitised solar cells." Thesis, Queensland University of Technology, 2006. https://eprints.qut.edu.au/16270/1/Melissa_Penny_Thesis.pdf.

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This thesis presents a mathematical model of the nanoporous anode within a dyesensitised solar cell (DSC). The main purpose of this work is to investigate interfacial charge transfer and charge transport within the porous anode of the DSC under both illuminated and non-illuminated conditions. Within the porous anode we consider many of the charge transfer reactions associated with the electrolyte species, adsorbed dye molecules and semiconductor electrons at the semiconductor-dye- electrolyte interface. Each reaction at this interface is modelled explicitly via an electrochemical equation, res
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Hutton-Smith, Laurence. "Modelling the pharmacokinetics and pharmacodynamics of macromolecules for the treatment of wet AMD." Thesis, University of Oxford, 2018. http://ora.ox.ac.uk/objects/uuid:5c6d908f-ebf1-4006-8666-862a17c3f799.

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Wet age related macular degeneration (wet AMD) is a highly debilitating retinal disease, the third leading cause of blindness in the world and one the most expensive ocular conditions to care for. Wet AMD is characterised by the proliferation of neovasculature through the retinal posterior and theorised to be, at least in part, induced and driven by excess vascular endothelial growth factor (VEGF). Many current treatments for wet AMD utilise anti-VEGF macromolecules that bind to VEGF. The retina, however, remains a largely inaccessible, and delicate, anatomical region. Due to difficulties in c
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Veng, Mengkoung. "Self-mixing interferometry for absolute distance measurement : modelling and experimental demonstration of intrinsic limitations." Thesis, Toulouse, INPT, 2020. http://www.theses.fr/2020INPT0077.

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La Self-Mixing Interférométrie (SMI) a été étudiée de manière approfondie au cours des cinq dernières décennies dans diverses applications. Les capteurs selon la technique SMI ont la diode laser comme la source de lumière, l'interféromètre et le détecteur. La lumière de la diode laser se propage vers une cible éloignée où elle est partiellement réfléchie ou rétrodiffusée avant d'être réinjectée dans la cavité active du laser. Lorsque la diode laser subit le retour optique externe, la lumière réfléchie imprimée avec des informations provenant de la cible éloignée ou du milieu de cavité externe
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Books on the topic "Mathematical modeling of injection"

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Cheng, Gary C. CFD modeling of turbulent flows around the SSME main injector assembly using porosity formulation: Final report. SECA, Inc., 1992.

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Shilyaev, Mihail, Elena Hromova, Aleksandr Bogomolov, A. Pavlenko, and V. Butov. Modeling of hydrodynamics and heat and mass transfer in dispersed media. INFRA-M Academic Publishing LLC., 2022. http://dx.doi.org/10.12737/1865376.

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The monograph presents methods for calculating the dehydration of wet granular materials in industrial centrifuges, filter presses and vacuum filters under the influence of gravitational forces, as well as by purging the granular layer with dry air with elevated temperature; physical and mathematical models of gas absorption and the theory of capturing submicron dust by condensation in foam, centrifugal bubbling apparatus and hollow nozzle scrubbers, packing columns and tubular absorbers; physical and mathematical models of dry adsorption of gases in packing columns and flues by injecting a di
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Palacios, Antonio. Mathematical Modeling. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-04729-9.

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Heinz, Stefan. Mathematical Modeling. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-20311-4.

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Eck, Christof, Harald Garcke, and Peter Knabner. Mathematical Modeling. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-55161-6.

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Uvarova, Ludmila A., and Anatolii V. Latyshev, eds. Mathematical Modeling. Springer US, 2001. http://dx.doi.org/10.1007/978-1-4757-3397-6.

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Phi Delta Kappa. Educational Foundation., ed. Mathematical modeling. Phi Delta Kappa Educational Foundation, 1995.

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Meerschaert, Mark M. Mathematical modeling. 2nd ed. Academic Press, 1999.

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Meerschaert, Mark M. Mathematical modeling. 3rd ed. Elsevier Academic Press, 2007.

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Zhou, Huamin, ed. Computer Modeling for Injection Molding. John Wiley & Sons, Inc., 2013. http://dx.doi.org/10.1002/9781118444887.

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Book chapters on the topic "Mathematical modeling of injection"

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Zhou, Huamin, Zixiang Hu, and Dequn Li. "Mathematical Models for the Filling and Packing Simulation." In Computer Modeling for Injection Molding. John Wiley & Sons, Inc., 2013. http://dx.doi.org/10.1002/9781118444887.ch3.

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Aguilar-Gastelum, F., and O. Cazarez-Candia. "Mathematical Modeling of Steam Injection in Vertical Wells." In Selected Topics of Computational and Experimental Fluid Mechanics. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-11487-3_24.

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Yaylali, Emine, and Sahincan Ucler. "Taxonomy of Mathematical Modeling Studies for Hepatitis C Among Injection Drug Users." In Lecture Notes in Management and Industrial Engineering. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-76724-2_35.

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Sitters, C. W. M., and J. F. Dijksman. "On the Mathematical Modelling of the Injection Moulding Process." In Integration of Fundamental Polymer Science and Technology. Springer Netherlands, 1986. http://dx.doi.org/10.1007/978-94-009-4185-4_53.

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Musakaev, Nail, Stanislav Borodin, Sergey Rodionov, and Evgeniy Schesnyak. "Mathematical Modeling of the Hot Steam-Water Mixture Flow in an Injection Well." In Advances in Intelligent Systems and Computing. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-19501-4_34.

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Pires, A., and B. Loza. "Mathematical Modeling of Partially Miscible Water Alternating Gas Injection Using Geometric Thermodynamic Variables." In Integral Methods in Science and Engineering. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-34099-4_20.

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Lahane, Subhash, P. W. Deshmukh, and M. R. Nandgaonkar. "Mathematical Modeling of Injection and Spray Characteristics of a Diesel Engine: A Review." In Energy, Environment, and Sustainability. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-8618-4_3.

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Ma, Yanping, Yeona Kang, Angelica Davenport, Jennifer Mawunyo Aduamah, Kathryn Link, and Katharine Gurski. "Extended-Release Pre-exposure Prophylaxis and Drug-Resistant HIV." In Mathematical Modeling for Women’s Health. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-58516-6_2.

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AbstractThe pharmacologic tail of long-acting cabotegravir (CAB-LA), an injectable pre-exposure prophylaxis (PrEP), allows for months-long intervals between injections, but it may facilitate the emergence of drug-resistant human immunodeficiency virus (HIV) strains during the acute infection stage. In this chapter, we present a within-host, mechanistic ordinary differential equation model of the HIV latency and infection cycle in CD4$${ }^+$$ + T-cells to investigate the impact of CAB-LA on drug-resistant mutations in both humans and macaques. We develop a pharmacokinetic/pharmacodynamic model for CAB-LA to correlate the inhibitory drug response with the drug concentration in plasma. After validating our model against experimental results, we conduct in silico trials. First, we separately administer CAB-LA to the in silico macaque and human patients before and after exposure to simian-human immunodeficiency virus (SHIV)/HIV, to observe SHIV and HIV infectivity dynamics, respectively. Although the model does not incorporate a mechanism for CAB-LA-induced HIV mutations, we analyze the outcomes when mutations occur naturally. Our findings suggest that CAB-LA may enhance the growth of drug-resistant strains over the wild-type strains during the acute stage. The in silico trials demonstrate that the effectiveness of CAB-LA against mutations and the fitness of the drug-resistant strain to infect T-cells determine the course of the mutated strain.
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Varfolomeev, Sergey, Viktor Bykov, and Svetlana Tsybenova. "Kinetic modelling of processes in the cholinergic synapse. Mechanisms of functioning and control methods." In ORGANOPHOSPHORUS NEUROTOXINS. Publishing Center RIOR, 2020. http://dx.doi.org/10.29039/22_127-139.

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The kinetic model describing the dynamics of synaptic “discharge” taking into account the kinetics of the injection of the neurotransmitter into the synaptic cleft, the pH-dependence of catalytic activity of the enzyme and diffusion withdrawal of protons is proposed and studied. In the framework of the kinetic model, the functioning of the cholinergic synapse is considered. The results of mathematical modeling of changes in the level of acetylcholine, induced pH impulse, the influence of the frequency of impulse transfer and inhibition of acetylcholinesterase are presented. Physico-chemical explanation for a number of important physiological phenomena, such as neuromuscular paralysis, the molecular mechanism of neurological memory, actions of nerve poisons and toxins and Alzheimer’s disease is given.
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Varfolomeev, Sergey, Viktor Bykov, and Svetlana Tsybenova. "Kinetic modelling of processes in the cholinergic synapse. Mechanisms of functioning and control methods." In Organophosphorous Neurotoxins. Publishing Center RIOR, 2020. http://dx.doi.org/10.29039/chapter_5e4132b600e1c6.27895580.

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The kinetic model describing the dynamics of synaptic “discharge” taking into account the kinetics of the injection of the neurotransmitter into the synaptic cleft, the pH-dependence of catalytic activity of the enzyme and diffusion withdrawal of protons is proposed and studied. In the framework of the kinetic model, the functioning of the cholinergic synapse is considered. The results of mathematical modeling of changes in the level of acetylcholine, induced pH impulse, the influence of the frequency of impulse transfer and inhibition of acetylcholinesterase are presented. Physico-chemical explanation for a number of important physiological phenomena, such as neuromuscular paralysis, the molecular mechanism of neurological memory, actions of nerve poisons and toxins and Alzheimer’s disease is given.
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Conference papers on the topic "Mathematical modeling of injection"

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Idrisov, Kamil M., Maria S. Shipaeva, Rustam A. Ziniukov, and Vladislav A. Sudakov. "DEVELOPMENT OF METHODOLOGY FOR OPTIMAL CYCLIC INJECTION TECHNIQUES BASED ON MATHEMATICAL MODELING." In 24th SGEM International Multidisciplinary Scientific GeoConference 24. STEF92 Technology, 2024. https://doi.org/10.5593/sgem2024/1.1/s06.72.

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The study aims to identify the optimal operating conditions of wells to increase oil recovery without incurring additional costs for Enhanced Oil Recovery (EOR). The study analyzes various scenarios based on different properties of geological formations and wells. This work was carried out using three-dimensional hydrodynamic modeling. These models represent a simplified hydrodynamic model of a real object, which was created for the purpose of analyzing the processes being studied, but does not claim to be a complete description of the geological structure. At the same time, when constructing
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Al-Shaalan, T. M., and H. A. Nasr-El-Din. "Mathematical Modeling of Sandstone Stimulation: A Critical Review of Available Models." In CORROSION 2000. NACE International, 2000. https://doi.org/10.5006/c2000-00443.

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Abstract This paper reviews previous work done on mathematical modeling of the chemical reactions between sandstone and mud acid, which is a mixture of HF and HCl acids. These models are lumped-parameter model, two-parameter model, four-parameter model, and detailed chemistry models. The models are compared with the experimental data at different flow rates. The lumped-parameter model simplifies the chemistry of the dissolution of sandstone minerals with mud acid. The two-parameter model predicts lab experiments at high flow rates only. Predictions based on the four-parameter model agreed with
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Stolnitz, Mikhail M., Alexey N. Bashkatov, Elina A. Genina, and Valery V. Tuchin. "Mathematical modeling of clearing liquid drop diffusion after intradermal injection." In SPIE Proceedings, edited by Valery V. Tuchin. SPIE, 2007. http://dx.doi.org/10.1117/12.741083.

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Schechter, D. S., and B. Guo. "Mathematical Modeling of Gravity Drainage After Gas Injection into Fractured Reservoirs." In Permian Basin Oil and Gas Recovery Conference. Society of Petroleum Engineers, 1996. http://dx.doi.org/10.2118/35170-ms.

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Tiwari, Ashish, and R. H. Talwekar. "Mathematical Modeling of Non-Linearity due to Charge Injection Effect in CMOS Imagers." In 2021 International Conference on Advances in Electrical, Computing, Communication and Sustainable Technologies (ICAECT). IEEE, 2021. http://dx.doi.org/10.1109/icaect49130.2021.9392570.

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Han, L., and J. Choi. "Two Dimensional Modeling of Laser Cladding With Droplet Injection." In ASME 2003 Heat Transfer Summer Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/ht2003-47295.

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Directed Metal/Material Deposition (DMD) process is one of additive manufacturing processes based on laser cladding process. A full understanding of laser cladding process is a must to make the DMD process consistent and robust. A two dimensional mathematical model of laser cladding was developed to understand the influence of fluid flow to the mixing, dilution, and deposition dimension, incorporating melting, solidification, and evaporation phenomena. The fluid flow in the melt pool driven by thermal capillary convection and energy balance at liquid-vapor and solid-liquid interface was invest
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Sariang, Lanosha, and Subhash C. Arya. "Mathematical Modeling of Carrier Injection based PIN junction Optical Phase Shifter using Evolutionary Algorithm." In 2019 2nd International Conference on Innovations in Electronics, Signal Processing and Communication (IESC). IEEE, 2019. http://dx.doi.org/10.1109/iespc.2019.8902403.

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Lobiak, Oleksii, Glib Vatulia, Mykhailo Pavliuchenkov, Dmytro Petrenko, and Olena Voskobiinyk. "Using mathematical modeling for stabilization of soil foundations of buildings with the injection technique." In RELIABILITY AND DURABILITY OF RAILWAY TRANSPORT ENGINEERING STRUCTURE AND BUILDINGS. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0120110.

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Danov, Stanislav N., and Ashwani K. Gupta. "Understanding of Diesel Engine Combustion Process via Mathematical Modeling: Part 2 — Results." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/cie-4431.

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Abstract In the companion Part 1 of this two part series paper a mathematical model of combustion process in a diesel engine was presented having both premixed and diffusion flame. The combustion of fuel vaporized during the self-ignition delay period is modeled according to the conditions of premixed flame. A kinetic differential equation has been created for modeling this kind of combustion. The combustion of fuel during the injection process is modeled according to the theory of diffusion flames. This process is strongly influenced by processes of fuel injection, vaporization and diffusion.
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Liu, Hong, Dexing Zhu, Yang Gao, and Fan Peng. "Mathematical Modeling of Droplet Injection Process of Indirect Piezoelectric 3D Printhead for Casting Sand Mold." In Proceedings of the 2018 International Conference on Mathematics, Modeling, Simulation and Statistics Application (MMSSA 2018). Atlantis Press, 2019. http://dx.doi.org/10.2991/mmssa-18.2019.15.

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Reports on the topic "Mathematical modeling of injection"

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Lohne, Arild, Arne Stavland, Siv Marie Åsen, Olav Aursjø, and Aksel Hiorth. Recommended polymer workflow: Interpretation and parameter identification. University of Stavanger, 2021. http://dx.doi.org/10.31265/usps.202.

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Injecting a polymer solution into a porous medium significantly increases the modeling complexity, compared to model a polymer bulk solution. Even if the polymer solution is injected at a constant rate into the porous medium, the polymers experience different flow regimes in each pore and pore throat. The main challenge is to assign a macroscopic porous media “viscosity” to the fluid which can be used in Darcy law to get the correct relationship between the injection rate and pressure drop. One can achieve this by simply tabulating experimental results (e.g., injection rate vs pressure drop).
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G., Anand. Phenomenological and mathematical modeling of a high pressure steam driven jet injector. Part 2. Office of Scientific and Technical Information (OSTI), 1993. http://dx.doi.org/10.2172/80758.

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Equihua, M., and O. Perez-Maqueo. Mathematical Modeling and Conservation. American Museum of Natural History, 2010. http://dx.doi.org/10.5531/cbc.ncep.0154.

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Formal models are indispensable tools in natural resource management and in conservation biology. Explicit modeling can be a helpful tool for studying these systems, communicating across disciplines, and integrating varying viewpoints of numerous stakeholders. This module demonstrates how to explicitly construct models as alternative representations to help interpret and understand nature. Through a synthesis and two exercises, it describes the general context of scientific modeling (i.e., use and types of models), and allows students to practice building a model by evaluating the relationship
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Mitler, Henri E. Mathematical modeling of enclosure fires. National Institute of Standards and Technology, 1991. http://dx.doi.org/10.6028/nist.ir.90-4294.

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Rajagopal, K., M. Massoudi, and J. Ekmann. Mathematical modeling of fluid-solid mixtures. Office of Scientific and Technical Information (OSTI), 1990. http://dx.doi.org/10.2172/7230272.

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Quiang, Ji. Mathematical modeling plasma transport in tokamaks. Office of Scientific and Technical Information (OSTI), 1997. http://dx.doi.org/10.2172/565310.

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Mitler, Henri E., and John A. Rockett. How accurate is mathematical fire modeling? National Bureau of Standards, 1986. http://dx.doi.org/10.6028/nbs.ir.86-3459.

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Jin, D., R. G. Stachowiak, I. V. Samarasekera, and J. K. Brimacombe. Mathematical modeling of deformation during hot rolling. Office of Scientific and Technical Information (OSTI), 1994. http://dx.doi.org/10.2172/34420.

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Lerman, Kristina, Maja Mataric, and Aram Galstyan. Mathematical Modeling of Large Multi-Agent Systems. Defense Technical Information Center, 2005. http://dx.doi.org/10.21236/ada439172.

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Rehm, Ronald G., and Randall J. McDermott. Mathematical modeling of wildland-urban interface fires. National Institute of Standards and Technology, 2011. http://dx.doi.org/10.6028/nist.ir.7803.

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