Academic literature on the topic 'Chemical engineering – Mathematical models'

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Journal articles on the topic "Chemical engineering – Mathematical models"

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Kurpatenkov, A. V., V. M. Polyaev, and A. L. Sintsov. "Mathematical models of transpiration cooling." Journal of Engineering Physics 53, no. 2 (August 1987): 914–19. http://dx.doi.org/10.1007/bf00872416.

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Orazbayev, B. B., K. N. Orazbayeva, and B. E. Utenova. "Development of mathematical models and modeling of chemical engineering systems under uncertainty." Theoretical Foundations of Chemical Engineering 48, no. 2 (March 2014): 138–47. http://dx.doi.org/10.1134/s0040579514020092.

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Maksimova, Nadezhda N. "INVESTIGATION OF MATHEMATICAL MODELS OF THE CHEMICAL REACTIONS KINETICS." Messenger AmSU, no. 97 (2022): 6–12. http://dx.doi.org/10.22250/20730268_2022_97_6.

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Tong, T. O., M. C. Kekana, M. Y. Shatalov, and S. P. Moshokoa. "Numerical Investigation of Brusselator Chemical Model by Residual Function Using Mathematica Software." Journal of Computational and Theoretical Nanoscience 17, no. 7 (July 1, 2020): 2947–54. http://dx.doi.org/10.1166/jctn.2020.9324.

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In recent years, mathematical models have been developed to illustrate some physical phenomena in science and engineering. One of those systems of nonlinear differential equations is Brusselator chemical model. A mathematical template of checking accuracy of from black-boxes has been developed and investigated. Brusselator model is used as case study as its analytical solution is non-existence. The algorithms investigated from Mathematica software includes Adams method, Backward differential formula (BDF) and Implicit Runge-Kutta method which works well on stiff systems. The graphical results are on interval of 0 ≤ t ≤ 30.
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Oliveri, Hadrien, and Alain Goriely. "Mathematical models of neuronal growth." Biomechanics and Modeling in Mechanobiology 21, no. 1 (January 7, 2022): 89–118. http://dx.doi.org/10.1007/s10237-021-01539-0.

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AbstractThe establishment of a functioning neuronal network is a crucial step in neural development. During this process, neurons extend neurites—axons and dendrites—to meet other neurons and interconnect. Therefore, these neurites need to migrate, grow, branch and find the correct path to their target by processing sensory cues from their environment. These processes rely on many coupled biophysical effects including elasticity, viscosity, growth, active forces, chemical signaling, adhesion and cellular transport. Mathematical models offer a direct way to test hypotheses and understand the underlying mechanisms responsible for neuron development. Here, we critically review the main models of neurite growth and morphogenesis from a mathematical viewpoint. We present different models for growth, guidance and morphogenesis, with a particular emphasis on mechanics and mechanisms, and on simple mathematical models that can be partially treated analytically.
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Dul'nev, G. N., and P. A. Korenev. "Synthesis of thermostating devices. II. Mathematical models." Journal of Engineering Physics 51, no. 4 (October 1986): 1243–49. http://dx.doi.org/10.1007/bf00870856.

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Prishchenko, Olga, Nadezhda Cheremskaya, Tetyana Chernogor, and Svetlana Bukhkalo. "INNOVATIVE METHODS OF TEACHING THE DISCIPLINE HIGHER MATHEMATICS TO STUDENTS STUDYING CHEMICAL TECHNOLOGY AND ENGINEERING." Bulletin of the National Technical University "KhPI". Series: Innovation researches in students’ scientific work, no. 1 (October 2, 2022): 30–37. http://dx.doi.org/10.20998/2220-4784.2022.01.05.

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The article discusses some innovative methods that can be used in practical classes in higher mathematics, teaching students of chemical specialties. The possibilities for the development of competencies in complex interuniversity projects are closely related to the issues of classifying all types of interrelationships of disciplines within the framework of courses according to curricula, as well as the choice of additional universal competencies. Mathematics for chemical process engineers is, first of all, a useful tool for solving many chemical and technological problems and tasks. The typical curriculum takes into account the modern needs of related and special disciplines in the mathematical education of students, and consists of four main sections: the foundations of algebra and analytical geometry, mathematical analysis, differential equations, probability theory and mathematical statistics. When writing the article, many years of experience in teaching students of chemical specialties by the department 'Higher Mathematics' of the National Technical University «KhPI» were used. The purpose of the scientific research of teachers and students presented in the article is to increase the competitiveness of Ukrainian technical education in the world market by developing and implementing innovative models and methods. When writing this article, the authors pursued three goals. First, to give the general course of mathematics for students of chemical and related specialties an appropriate professional orientation; secondly, to form in students of the first years of study ideas about the mathematical apparatus, information technologies and the mathematical modeling of modern chemistry and, thirdly, to instill in students the primary skills of building mathematical models of the simplest physical and mathematical processes when studying a mathematics course.
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Gumnitsky, Jaroslav, Lubov Venger, Vira Sabadash, Dmytro Symak, Anna Hyvlud, and Zoriana Gnativ. "Physical and Mathematical Models of Target Component Extraction from Rectlinear Capillaries." Chemistry & Chemical Technology 16, no. 1 (February 20, 2022): 112–17. http://dx.doi.org/10.23939/chcht16.01.112.

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The extraction of the solid component from the rectilinear capillary has been investigated. The presence of two extraction zones (convective and molecular diffusion) was confirmed. The effect of the system vacuumizing on the extraction rate has been studied. The convection zone during vacuumizing was found to be increased due to the appearance of the vapor phase bubbles. The mass transfer coefficients for the convective zone have been determined. A mathematical model of the molecular diffusion stage is given, taking into account the nonlinear change in the component concentration in the liquid due to the displacement of the extraction boundary. The molecular diffusion coefficients in the capillary have been determined.
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Negiz, Antoine, Eric S. Lagergren, and Ali Cinar. "Mathematical Models of Cocurrent Spray Drying." Industrial & Engineering Chemistry Research 34, no. 10 (October 1995): 3289–302. http://dx.doi.org/10.1021/ie00037a015.

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Monakov, A. A., and A. A. Tarasenkov. "Comparative Analysis of Mathematical Models of Tracking Radio Altimeters." Journal of the Russian Universities. Radioelectronics 25, no. 4 (September 29, 2022): 72–80. http://dx.doi.org/10.32603/1993-8985-2022-25-4-72-80.

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Introduction. Tracking radio altimeters of low altitudes are widely used in civil aviation. These devises use periodic frequency modulated continuous wave (FMCW) signals, while altitude measurements are based on processing the beat signal processing. For this purpose, a closed automatic control loop is arranged to maintain the frequency of the beat signal at a fixed level by changing parameters of the transmitted signal (the frequency deviation or the modulation period). An alternative approach to arranging the tracking loop for altitude variations is based on the use of a phase locked loop (PLL), which adjusts the reference signal – a copy of the emitted signal – to obtain the maximum cross-correlation of the beat and reference signals. А comparative analysis of short-range radio altimeters with other currently known tracking radio altimeters for various types of frequency modulation of the transmitted signal seems to be a relevant research task.Aim. An analysis of the influence of the type of frequency modulation on the accuracy of altitude estimation in a PLL-based radar altimeter, as well as a comparative analysis of this altimeter with other known tracking altimeters.Materials and methods. Mathematical models of tracking radio altimeters are proposed, and a computer simulation of their performance is carried out for the case of altitude estimation over a smooth flat surface.Results. The conducted comparative analysis of tracking radio altimeters confirmed the effectiveness of the PLL when processing signals of different frequency modulation type (sawtooth, triangular, and harmonic FM). Altitude estimates produced by PLL-based radar altimeters are unbiased, with their standard deviation not exceeding 3 cm for the signalto-noise ratio of greater than 10 dB and under the scenario parameters adopted in the work. The conducted comparison with other tracking altimeters showed that estimation errors of this radar altimeter are an order of magnitude smaller.Conclusion. A PLL-based tracking radar altimeter can be used to estimate the height of the aircraft flight. The quality of altitude estimates produced by this device is higher than those produced by other known tracking radio altimeters. Further research and field tests will investigate the accuracy of altitude estimation when working over a rough surface.
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Dissertations / Theses on the topic "Chemical engineering – Mathematical models"

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Fourie, Johan George. "The mathematical modelling of heat transfer and fluid flow in cellular metallic foams." Thesis, Stellenbosch : Stellenbosch University, 2000. http://hdl.handle.net/10019.1/51994.

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Dissertation (PhD)--University of Stellenbosch, 2000.
ENGLISH ABSTRACT: A mathematical model is presented which conceptualises fluid flow and heat transfer in cellular metallic foams completely saturated with a fluid in motion. The model consists of a set of elliptic partial differential governing equations describing, firstly, a momentum balance in the fluid by the spatial distribution of its locally mean velocity, and secondly, an energy balance in the fluid and in the solid matrix of the metallic foam, by the spatial and temporal distribution of their locally mean temperatures. The separate energy balance descriptions for the fluid and the solid matrix extend the application of the model to conditions of thermal equilibrium and thermal non-equilibrium between the fluid and the solid matrix. A computational solution algorithm is presented which allows the universal application of the model to porous domains of arbitrary shape, with spatially and temporally variable heat loads in a variety of forms.
AFRIKAANSE OPSOMMING: 'n Wiskundige model word voorgestel wat vloei en warmteoordrag voorspel in sellulêre metaalsponse wat in geheel gevul is deur 'n bewegende vloeier. Die vloeier kan in gasof vloeistoffase verkeer. Die model bestaan uit 'n stel elliptiese parsiële differensiaalvergelykings wat in die eerste plek 'n momentum-ewewig in die vloeier beskryf in terme van 'n ruimtelike, lokaal-gemiddelde snelheidsveld, en wat tweedens 'n energie-ewewig in die vloeier en in die soliede matriks van die metaalspons beskryf in terme van ruimtelike en tydelike lokaal-gemiddelde temperatuur verspreidings. Die aparte energie-ewewig beskrywings vir die vloeier en vir die soliede matriks van die metaalspons brei die aanwending van die model uit na gevalle waar die vloeier en die soliede matriks in termiese ewewig of in termiese onewewig verkeer. 'n Numeriese oplossingsalgoritme word ook voorgestel vir die universele toepassing van die model op ruimtelik-arbitrêre metaalspons geometrië wat onderwerp word aan 'n aantal verskillende ruimtelik-en tydveranderlike termiese laste.
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Marks, Marguerite Colasurdo. "Incorporating Chemical Activity and Relative Humidity Effects in Regional Air Quality Modeling of Organic Aerosol Formation." PDXScholar, 2013. https://pdxscholar.library.pdx.edu/open_access_etds/1511.

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Atmospheric particulate matter is known to have significant effects on human health, visibility, and global climate. The magnitudes of these effects, however, depend in complex ways on chemical composition, relative humidity, temperature, phase state, and other parameters. Current regional air quality models such as CMAQ (Community Multiscale Air Quality model) ignore many of these considerations, and consider that the formation of secondary organic aerosol (SOA) can be calculated by assuming thermodynamic ideality in the organic particulate matter (OPM) phase as well as negligible uptake of water into the OPM phase. Theoretical predictions and model simulations considering non-ideality and water uptake show that the standard model assumptions can lead to large errors in predicted SOA mass, and that the magnitude of these errors is sensitive to the composition of the OPM phase. The SOA module in CMAQ v4.7.1 has been revised in this work to allow consideration of the effects of both non-ideality and water uptake. First, a reasonable specific surrogate structure was assigned to each of the lumped products assumed to be produced by reaction of the different precursor hydrocarbons considered in CMAQ (e.g., isoprene, benzene, and toluene). Second, the CMAQ code was modified to allow iterative calculation (at each point in space and time) of the gas/particle partitioning coefficient for each of the SOA-forming products and for water. Third, model simulations were performed for the Eastern US at a resolution of 36-km x 36-km for late summer 2006, under a range of relative humidity conditions. When compared with an appropriate base case, the modified code produced increases in SOA ranging from 0.17 to 0.51 micrograms per cubic meter. The average change was 0.30 micrograms per cubic meter, corresponding to a 37% increase in SOA formation. Incorporation of phase separation effects would likely lead to further increases in predicted SOA levels.
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Mwale, Adolph Ntaja. "A mathematical model for predicting classification performance in wet fine screens." Master's thesis, University of Cape Town, 2015. http://hdl.handle.net/11427/20122.

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Screening is a well-known classification process in the minerals processing industry. The process involves separation of fine particles from coarse particles based on size and is applicable to both dry and fine screening. Fine screening is normally carried out wet. Until recently, fine wet screening had been limited to relatively low throughput applications. Developments in the recent past have seen the evolution of fine screening to high capacity applications. It has found application in operations such as closed circuits with a mill in place of hydrocyclones. However, even though developments are increasing, there has been a process model developmental lag. A fine wet screen model that can be used for unit simulation purposes to predict screen performance outcomes or integration into other models to simulate and predict process performance is necessary. Most existing screen models are for dry and coarse screening applications. This thesis is aimed at developing a fine wet screen process model for predicting wet screening performance in the 45 - 150 μm range. Pilot plant testwork was conducted using a UG2-Chrome ore blend as feed.
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Knobel, Anthony N. "A mathematical model of a high sulphate wastewater, anaerobic treatment system." Master's thesis, University of Cape Town, 1999. http://hdl.handle.net/11427/19419.

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High sulphate wastewaters, originating from industrial activity or from the biological oxidation of sulphide ores (acid mine drainage), cannot be discharged into the environment untreated. Apart from the high sulphate levels, these waters may be very acidic and have high dissolved heavy metal concentrations. One promising treatment technology is biological sulphate reduction in anaerobic reactors. During anaerobic treatment, sulphate is reduced to sulphide and alkalinity is generated, raising the pH and precipitating many of the heavy metals. The process requires a carbon source as an electron donor. This may be simple organics such as ethanol or volatile fatty acids, which are directly utilized by the sulphate reducing bacteria, or complex organics such as sewage sludge which must first undergo solubilization and fermentation by a different microbial group. As an aid to the design and operation of this treatment process, a mathematical model describing an anaerobic digester treating high sulphate waste waters has been developed. Apart from sulphate reduction, the model includes those reactions which occur either prior to sulphate reduction, or in competition with it. These include hydrolysis of solid substrates, acidogenesis, beta oxidation of long chain fatty acids, acetogenesis and methanogenesis. By incorporating terms for these reactions, the model is able to simulate sulphate reduction using a wide range of carbon sources. A comprehensive literature survey of the kinetic parameters for the above reactions was undertaken. Apart from the Monod equation describing substrate uptake the kinetic expressions used in the model also includes terms for: unionized fatty acid inhibition; unionized or total sulphide inhibition; hydrogen inhibition and hydrogen product regulation where appropriate; pH inhibition; and dual substrate uptake where appropriate. Acid/base equilibrium chemistry has been included in order to predict the pH and unionized component concentrations (needed for calculating inhibition). The weak acids, H₂CO₃, H₂S, a number of SCFAs, NH₃, and their ions, as well as the strongly dissociating sulphates Na₂SO₄ and H₂SO₄ are included. An activity based model was used, with the activity coefficients calculated using Debye-Hilckle theory. The mass transfer rates of hydrogen, methane, carbon dioxide and hydrogen sulphide from the liquid to the vapour phase are also included. A final aspect of the model is the equations describing the reactor geometry. A number of different reactors may be simulated, including a dynamic batch, steady state CSTR and dynamic CSTR. By separating the hydraulic and solids residence times, high rate reactors such as UASB and packed bed reactors may also be simulated. The model has been used to successfully predict the dynamic and steady state behaviour of a number of different reactor types, utilizing both simple and complex carbon sources.
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Lo, Yu-Wen. "Mathematical models for the coextrusion and the calendering process in a converging section." Ohio : Ohio University, 1989. http://www.ohiolink.edu/etd/view.cgi?ohiou1182442464.

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Psofogiannakis, George. "A mathematical model for a direct propane phosphoric acid fuel cell." Thesis, University of Ottawa (Canada), 2003. http://hdl.handle.net/10393/26424.

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In direct hydrocarbon fuel cells, a hydrocarbon fuel is oxidised in the anode electrode. This thesis presents a mathematical model to predict the performance of a unit cell that utilises propane as the fuel, oxygen as the oxidant, phosphoric acid as the electrolyte, and platinum as the catalyst, supported on porous carbon electrodes. The phenomena considered include the electrochemical reactions of propane oxidation and oxygen reduction on platinum, the diffusion of the gases in gas-filled electrode pores, the dissolution and diffusion of dissolved gases in liquid-filled electrode pores as well as ionic conduction of protons. The model was based on the multi-layered physical structure of a modern unit fuel cell. The model was first applied to a phosphoric acid fuel cell cathode electrode. Subsequently, the model was applied to a direct propane-oxygen cell. (Abstract shortened by UMI.)
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Moles, Joshua Stephen. "Chemical Reaction Network Control Systems for Agent-Based Foraging Tasks." PDXScholar, 2015. https://pdxscholar.library.pdx.edu/open_access_etds/2203.

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Chemical reaction networks are an unconventional computing medium that could benefit from the ability to form basic control systems. In this work, we demonstrate the functionality of a chemical control system by evaluating classic genetic algorithm problems: Koza's Santa Fe trail, Jefferson's John Muir trail, and three Santa Fe trail segments. Both Jefferson and Koza found that memory, such as a recurrent neural network or memories in a genetic program, are required to solve the task. Our approach presents the first instance of a chemical system acting as a control system. We propose a delay line connected with an artificial neural network in a chemical reaction network to determine the artificial ant's moves. We first search for the minimal required delay line size connected to a feed forward neural network in a chemical system. Our experiments show a delay line of length four is sufficient. Next, we used these findings to implement a chemical reaction network with a length four delay line and an artificial neural network. We use genetic algorithms to find an optimal set of weights for the artificial neural network. This chemical system is capable of consuming 100% of the food on a subset and greater than 44% of the food on Koza's Santa Fe trail. We also show the first implementation of a simulated chemical memory in two different models that can reliably capture and store information over time. The ability to store data over time gives rise to basic control systems that can perform more complex tasks. The integration of a memory storage unit and a control system in a chemistry has applications in biomedicine, like smart drug delivery. We show that we can successfully store the information over time and use it to act as a memory for a control system navigating an agent through a maze.
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KOPAYGORODSKY, EUGENE M. "MATHEMATICAL MODEL OF ULTRA-RAPID PSA." University of Cincinnati / OhioLINK, 2001. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1002135981.

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Wong, Meng Angela. "Development of a mathematical model for blowdown of vessels containing multi-component hydrocarbon mixtures." Thesis, University College London (University of London), 1998. http://discovery.ucl.ac.uk/1317912/.

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This thesis describes the development of a mathematical model, BLOWSIM, for simulating vapour space blowdown of an isolated vessel containing single (vapour) or two-phase (vapour and liquid) hydrocarbon mixtures based on three Cubic Equations of State (CEOS). These include Soaves Redlich-Kwong (SRK), Peng- Robinson (PR) and the recently developed Twu-Coon-Cunningham (TCC) CEOS. The performances of the above equations are first evaluated by comparing their predictions for a range of important thermophysical properties (including vapour/liquid equilibrium data, speed of sound and fluid densities) with experimental data for single and multi-component hydrocarbon systems. These data are reported as a function of reduced pressures and temperatures in the ranges 0.00053 - 43.41 and 0.33 - 2.09 respectively. Typical systems tested include pure alkanes as well as mixtures containing methane, ethane, propane, H₂S, CO₂, N₂ and trace amounts of heavy hydrocarbons. The above is then followed by applications of all three equations in the blowdown model and comparing the results with those obtained from a number of experiments relating to the blowdown of the various hydrocarbon systems from a maximum pressure of 120 atm and ambient temperature. Typical output include the variations of fluid pressure, temperature (both liquid and vapour), discharge rate as well as the wetted and unwetted wall temperatures with time. Another major part of the study includes investigating the effects of different assumptions relating to the estimation of the liquid/wall heat transfer coefficient, the thermodynamic trajectory of the fluid in the vessel as well as the fluid phase at the orifice on blowdown predictions. We find that in general all three CEOS provide a similar level of accuracy with TCC CEOS providing the best performance in terms of predicting vapour speed of sound at Pr > 3. However, the equation gives rise to relatively large errors in predicting liquid speed of sound at Tr \leq 0.6. Typical accuracy of the blowdown model in terms of predicting fluid and wall temperatures during depressurisation are ±7 and 5K respectively.
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kahwaji, janho michel E. "FORMULATION AND USE OF A PERVAPORATION MATHEMATICAL MODEL." Cleveland State University / OhioLINK, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=csu1432111781.

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Books on the topic "Chemical engineering – Mathematical models"

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Hjortsø, Martin A. Linear mathematical models in chemical engineering. Singapore: World Scientific, 2010.

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Mathematical modeling: A chemical engineer's perspective. San Diego: Academic Press, 1999.

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Boi︠a︡dzhiev, Khristo. Theoretical chemical engineering: Modeling and simulation. Heidelberg: Springer, 2010.

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Blake, Rawlings James, ed. Modeling and analysis principles for chemical and biological engineers. Madison, Wis: Nob Hill Pub., 2013.

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Hua gong shu xue mo xing fang fa: Mathematical modeling in chemical engineering. Beijing Shi: Gao deng jiao yu chu ban she, 2008.

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N, Dorokhov I., Markov E. P, and Zhavoronkov N. M, eds. Primenenie metoda nechetkikh mnozhestv. Moskva: "Nauka", 1986.

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Rice, Richard G. Solutions manual to accompany Applied mathematics and modeling for chemical engineers. New York: Wiley, 1996.

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Do, Duong D., ed. Applied mathematics and modeling for chemical engineers. New York: Wiley, 1995.

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Computational flow modeling for chemical reactor engineering. San Diego, Calif: Academic, 2002.

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V, Dilʹman V., ed. Methods of modeling equations and analogies in chemical engineering. Boca Raton, Fl: CRC Press, 1994.

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Book chapters on the topic "Chemical engineering – Mathematical models"

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Wacker, Hj, T. Kronberger, A. Ortner, and L. Peer. "Mathematical Models in Chemical Engineering." In Operations Research Proceedings, 570–77. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-642-77254-2_66.

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Wacker, Hj, T. Kronberger, A. Ortner, and L. Peer. "Mathematical Models in Chemical Engineering." In Proceedings of the Fifth European Conference on Mathematics in Industry, 65–74. Wiesbaden: Vieweg+Teubner Verlag, 1991. http://dx.doi.org/10.1007/978-3-663-01312-9_7.

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Gajewski, Herbert, and Klaus Zacharias. "A mathematical model of emulsion polymerization." In Scientific Computing in Chemical Engineering, 60–67. Berlin, Heidelberg: Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-80149-5_7.

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Shrivastava, Naveen, Rajkumar Chadge, Sanjeev Bankar, and Anil Bamnote. "Methanol and Water Crossover in a Passive Direct Methanol Fuel Cell: Mathematical Model." In Recent Advances in Chemical Engineering, 269–76. Singapore: Springer Singapore, 2016. http://dx.doi.org/10.1007/978-981-10-1633-2_29.

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Keviczky, L., M. Hilger, and J. Kolostori. "Dynamic Models of the Chemical Composition of Ground Materials." In Mathematics and Control Engineering of Grinding Technology, 105–22. Dordrecht: Springer Netherlands, 1989. http://dx.doi.org/10.1007/978-94-009-2249-5_7.

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Ferrareso Lona, Liliane Maria. "The Recipe to Build a Mathematical Model." In A Step by Step Approach to the Modeling of Chemical Engineering Processes, 5–11. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-66047-9_2.

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Zentner, M. G., and Gintaras V. Reklaitis. "An Interval-Based Mathematical Model for the Scheduling of Resource-Constrained Batch Chemical Processes." In Batch Processing Systems Engineering, 779–807. Berlin, Heidelberg: Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-60972-5_30.

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Palacios, Antonio. "Discrete Models." In Mathematical Engineering, 43–84. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-04729-9_3.

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Palacios, Antonio. "Delay Models." In Mathematical Engineering, 325–61. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-04729-9_7.

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Palacios, Antonio. "Continuous Models." In Mathematical Engineering, 85–178. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-04729-9_4.

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Conference papers on the topic "Chemical engineering – Mathematical models"

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Elkholy, A., F. H. Fahmy, and A. Abu Elela. "A new technique for photovoltaic module performance mathematical model." In 2010 International Conference on Chemistry and Chemical Engineering (ICCCE). IEEE, 2010. http://dx.doi.org/10.1109/iccceng.2010.5560349.

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Trawiński, Tomasz. "Mathematical model of multiactuator for HDD head positioning system." In 2ND INTERNATIONAL CONFERENCE ON CHEMISTRY, CHEMICAL PROCESS AND ENGINEERING (IC3PE). Author(s), 2018. http://dx.doi.org/10.1063/1.5066537.

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Mizonov, Vadim E., and Henri Berthiaux. "Application of Markov chains theory in chemical engineering." In INTERNATIONAL SCIENTIFIC-TECHNICAL SYMPOSIUM (ISTS) «IMPROVING ENERGY AND RESOURCE-EFFICIENT AND ENVIRONMENTAL SAFETY OF PROCESSES AND DEVICES IN CHEMICAL AND RELATED INDUSTRIES». The Kosygin State University of Russia, 2021. http://dx.doi.org/10.37816/eeste-2021-p-65-69.

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Va´squez, Ricardo S., Antonio J. Bula, and Javier E. Camargo. "Chemical Equilibrium of Butane Combustion in a Perfectly Stirred Reactor: Thermodynamic – Mathematical Model." In ASME 2002 International Mechanical Engineering Congress and Exposition. ASMEDC, 2002. http://dx.doi.org/10.1115/imece2002-32991.

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Based on classic thermo chemistry, energy balance and the introduction of chemical equilibrium, a mathematical and thermodynamic model was developed for the combustion of butane in a perfectly stirred reactor (PSR). In order to obtain this model, it was necessary to take into account certain variables that have a strong effect on combustion such as adiabatic flame temperature, equivalence ratio, equilibrium composition, reactor pressure and the incoming temperature of the reactants (ITR). By using the mathematical model it was possible to obtain graphic solutions for adiabatic flame temperature, equilibrium composition of the different species vs equivalence ratio, composition changes as a function of pressure ratio and the ITR. The mathematical model gave reasonable results, showing values that match with those obtained using complex models. This shows that it is possible to achieve a very simple model for butane combustion by using the basic principles, and what is more important, the results present a high degree of accuracy.
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M.J., Pryce, Cheneler D., Martin A., and Aiouache F. "Mathematical Model Analysis for Mass and Rates of Woodchip IR Drying." In 6th World Congress on Mechanical, Chemical, and Material Engineering. Avestia Publishing, 2020. http://dx.doi.org/10.11159/htff20.177.

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Wan Ab Naim, Wan Naimah, Mohd Jamil Mohamed Mokhtarudin, Azam Ahmad Bakir, Putri Nur Alia Nasuha Mohd Nor, and Nik Abdullah Nik Mohamed. "Study of Oxygen Deprivation on Cardiomyocyte using Electro-chemical Coupled Mathematical Model." In 2020 IEEE-EMBS Conference on Biomedical Engineering and Sciences (IECBES). IEEE, 2021. http://dx.doi.org/10.1109/iecbes48179.2021.9398825.

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Fahmy, Faten H. "An optimum operation and mathematical model of tidal energy system at red sea area." In 2010 International Conference on Chemistry and Chemical Engineering (ICCCE). IEEE, 2010. http://dx.doi.org/10.1109/iccceng.2010.5560384.

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Kien, Le Anh. "Empirical and mathematical model of rapid expansion of supercritical solution (RESS) process of acetaminophen." In INTERNATIONAL CONFERENCE ON CHEMICAL ENGINEERING, FOOD AND BIOTECHNOLOGY (ICCFB2017): Proceedings of the 3rd International Conference on Chemical Engineering, Food and Biotechnology. Author(s), 2017. http://dx.doi.org/10.1063/1.5000218.

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Jaluria, Yogesh. "Experimental Validation of Computer Models for Food and Polymer Extrusion." In ASME 2003 International Mechanical Engineering Congress and Exposition. ASMEDC, 2003. http://dx.doi.org/10.1115/imece2003-41814.

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The accuracy and validity of the mathematical and numerical modeling of extruders for polymers and for food are considered in terms of experimental results obtained on typical full-size single and twin-screw extruders. The fluid is treated as non-Newtonian and with strong temperature-dependent properties. The chemical conversion of food during extrusion is also considered. The numerical modeling is employed for steady-state transport, for a range of operating conditions. Following grid-independence studies, the results obtained are first considered in terms of the expected physical behavior of the process, yielding good agreement with observations presented in the literature. The results are then compared with detailed and qualitative experimental results available from previous investigations to evaluate their accuracy. Good agreement with experimental data is obtained, lending strong support to the mathematical and numerical models.
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Kamel, John K., and Samuel Paolucci. "On the Numerical Scheme to Solve a Realistic Chemical Vapor Infiltration Reactor Model." In ASME 2007 International Mechanical Engineering Congress and Exposition. ASMEDC, 2007. http://dx.doi.org/10.1115/imece2007-43710.

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We describe the general mathematical model as well as the numerical integration procedure arising in modeling a realistic chemical vapor infiltration process. The numerical solution of the model ultimately leads to the solution of a large system of stiff differential algebraic equations. An operator splitting algorithm is employed to overcome the stiffness associated with chemical reactions, whereas a projection method is employed to overcome the difficulty arising from having to solve a large coupled system for the velocity and pressure fields. The resulting mathematical model and the numerical integration scheme are used to explore temperature, velocity, and concentration fields inside a chemical vapor infiltration reactor used in the manufacturing of aircraft brakes.
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Reports on the topic "Chemical engineering – Mathematical models"

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Lai, C. H. Mathematical models of thermal and chemical transport in geologic media. Office of Scientific and Technical Information (OSTI), December 1985. http://dx.doi.org/10.2172/5709552.

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Rumynin, V. G., V. A. Mironenko, L. N. Sindalovsky, A. V. Boronina, P. K. Konosavsky, and S. P. Pozdniakov. Evaluation of conceptual, mathematical and physical-and-chemical models for describing subsurface radionuclide transport at the Lake Karachai Waste Disposal Site. Office of Scientific and Technical Information (OSTI), June 1998. http://dx.doi.org/10.2172/6513.

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Markova, Oksana M., Serhiy O. Semerikov, Andrii M. Striuk, Hanna M. Shalatska, Pavlo P. Nechypurenko, and Vitaliy V. Tron. Implementation of cloud service models in training of future information technology specialists. [б. в.], September 2019. http://dx.doi.org/10.31812/123456789/3270.

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Leading research directions are defined on the basis of self-analysis of the study results on the use of cloud technologies in training by employees of joint research laboratory “Сloud technologies in education” of Kryvyi Rih National University and Institute of Information Technology and Learning Aids of the NAES of Ukraine in 2009-2018: cloud learning technologies, cloud technologies of blended learning, cloud-oriented learning environments, cloud-oriented methodological systems of training, the provision of cloud-based educational services. The ways of implementation SaaS, PaaS, IaaS cloud services models which are appropriate to use in the process of studying the academic disciplines of the cycles of mathematical, natural science and professional and practical training of future specialists in information technology are shown, based on the example of software engineering, computer science and computer engineering. The most significant advantages of using cloud technologies in training of future information technology specialists are definite, namely, the possibility of using modern parallel programming tools as the basis of cloud technologies. Conclusions are drawn; the direction of further research is indicated: designing a cloud-oriented learning environment for future specialists in computer engineering, identifying trends in the development of cloud technologies in the professional training and retraining of information technology specialists, developing a methodology for building the research competencies of future software engineering specialists by using cloud technologies.
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Tucker-Blackmon, Angelicque. Engagement in Engineering Pathways “E-PATH” An Initiative to Retain Non-Traditional Students in Engineering Year Three Summative External Evaluation Report. Innovative Learning Center, LLC, July 2020. http://dx.doi.org/10.52012/tyob9090.

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The summative external evaluation report described the program's impact on faculty and students participating in recitation sessions and active teaching professional development sessions over two years. Student persistence and retention in engineering courses continue to be a challenge in undergraduate education, especially for students underrepresented in engineering disciplines. The program's goal was to use peer-facilitated instruction in core engineering courses known to have high attrition rates to retain underrepresented students, especially women, in engineering to diversify and broaden engineering participation. Knowledge generated around using peer-facilitated instruction at two-year colleges can improve underrepresented students' success and participation in engineering across a broad range of institutions. Students in the program participated in peer-facilitated recitation sessions linked to fundamental engineering courses, such as engineering analysis, statics, and dynamics. These courses have the highest failure rate among women and underrepresented minority students. As a mixed-methods evaluation study, student engagement was measured as students' comfort with asking questions, collaboration with peers, and applying mathematics concepts. SPSS was used to analyze pre-and post-surveys for statistical significance. Qualitative data were collected through classroom observations and focus group sessions with recitation leaders. Semi-structured interviews were conducted with faculty members and students to understand their experiences in the program. Findings revealed that women students had marginalization and intimidation perceptions primarily from courses with significantly more men than women. However, they shared numerous strategies that could support them towards success through the engineering pathway. Women and underrepresented students perceived that they did not have a network of peers and faculty as role models to identify within engineering disciplines. The recitation sessions had a positive social impact on Hispanic women. As opportunities to collaborate increased, Hispanic womens' social engagement was expected to increase. This social engagement level has already been predicted to increase women students' persistence and retention in engineering and result in them not leaving the engineering pathway. An analysis of quantitative survey data from students in the three engineering courses revealed a significant effect of race and ethnicity for comfort in asking questions in class, collaborating with peers outside the classroom, and applying mathematical concepts. Further examination of this effect for comfort with asking questions in class revealed that comfort asking questions was driven by one or two extreme post-test scores of Asian students. A follow-up ANOVA for this item revealed that Asian women reported feeling excluded in the classroom. However, it was difficult to determine whether these differences are stable given the small sample size for students identifying as Asian. Furthermore, gender differences were significant for comfort in communicating with professors and peers. Overall, women reported less comfort communicating with their professors than men. Results from student metrics will inform faculty professional development efforts to increase faculty support and maximize student engagement, persistence, and retention in engineering courses at community colleges. Summative results from this project could inform the national STEM community about recitation support to further improve undergraduate engineering learning and educational research.
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Semerikov, Serhiy, Illia Teplytskyi, Yuliia Yechkalo, Oksana Markova, Vladimir Soloviev, and Arnold Kiv. Computer Simulation of Neural Networks Using Spreadsheets: Dr. Anderson, Welcome Back. [б. в.], June 2019. http://dx.doi.org/10.31812/123456789/3178.

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The authors of the given article continue the series presented by the 2018 paper “Computer Simulation of Neural Networks Using Spreadsheets: The Dawn of the Age of Camelot”. This time, they consider mathematical informatics as the basis of higher engineering education fundamentalization. Mathematical informatics deals with smart simulation, information security, long-term data storage and big data management, artificial intelligence systems, etc. The authors suggest studying basic principles of mathematical informatics by applying cloud-oriented means of various levels including those traditionally considered supplementary – spreadsheets. The article considers ways of building neural network models in cloud-oriented spreadsheets, Google Sheets. The model is based on the problem of classifying multi-dimensional data provided in “The Use of Multiple Measurements in Taxonomic Problems” by R. A. Fisher. Edgar Anderson’s role in collecting and preparing the data in the 1920s-1930s is discussed as well as some peculiarities of data selection. There are presented data on the method of multi-dimensional data presentation in the form of an ideograph developed by Anderson and considered one of the first efficient ways of data visualization.
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Modlo, Yevhenii O., Serhiy O. Semerikov, Stanislav L. Bondarevskyi, Stanislav T. Tolmachev, Oksana M. Markova, and Pavlo P. Nechypurenko. Methods of using mobile Internet devices in the formation of the general scientific component of bachelor in electromechanics competency in modeling of technical objects. [б. в.], February 2020. http://dx.doi.org/10.31812/123456789/3677.

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An analysis of the experience of professional training bachelors of electromechanics in Ukraine and abroad made it possible to determine that one of the leading trends in its modernization is the synergistic integration of various engineering branches (mechanical, electrical, electronic engineering and automation) in mechatronics for the purpose of design, manufacture, operation and maintenance electromechanical equipment. Teaching mechatronics provides for the meaningful integration of various disciplines of professional and practical training bachelors of electromechanics based on the concept of modeling and technological integration of various organizational forms and teaching methods based on the concept of mobility. Within this approach, the leading learning tools of bachelors of electromechanics are mobile Internet devices (MID) – a multimedia mobile devices that provide wireless access to information and communication Internet services for collecting, organizing, storing, processing, transmitting, presenting all kinds of messages and data. The authors reveals the main possibilities of using MID in learning to ensure equal access to education, personalized learning, instant feedback and evaluating learning outcomes, mobile learning, productive use of time spent in classrooms, creating mobile learning communities, support situated learning, development of continuous seamless learning, ensuring the gap between formal and informal learning, minimize educational disruption in conflict and disaster areas, assist learners with disabilities, improve the quality of the communication and the management of institution, and maximize the cost-efficiency. Bachelor of electromechanics competency in modeling of technical objects is a personal and vocational ability, which includes a system of knowledge, skills, experience in learning and research activities on modeling mechatronic systems and a positive value attitude towards it; bachelor of electromechanics should be ready and able to use methods and software/hardware modeling tools for processes analyzes, systems synthesis, evaluating their reliability and effectiveness for solving practical problems in professional field. The competency structure of the bachelor of electromechanics in the modeling of technical objects is reflected in three groups of competencies: general scientific, general professional and specialized professional. The implementation of the technique of using MID in learning bachelors of electromechanics in modeling of technical objects is the appropriate methodic of using, the component of which is partial methods for using MID in the formation of the general scientific component of the bachelor of electromechanics competency in modeling of technical objects, are disclosed by example academic disciplines “Higher mathematics”, “Computers and programming”, “Engineering mechanics”, “Electrical machines”. The leading tools of formation of the general scientific component of bachelor in electromechanics competency in modeling of technical objects are augmented reality mobile tools (to visualize the objects’ structure and modeling results), mobile computer mathematical systems (universal tools used at all stages of modeling learning), cloud based spreadsheets (as modeling tools) and text editors (to make the program description of model), mobile computer-aided design systems (to create and view the physical properties of models of technical objects) and mobile communication tools (to organize a joint activity in modeling).
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Lieth, J. Heiner, Michael Raviv, and David W. Burger. Effects of root zone temperature, oxygen concentration, and moisture content on actual vs. potential growth of greenhouse crops. United States Department of Agriculture, January 2006. http://dx.doi.org/10.32747/2006.7586547.bard.

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Soilless crop production in protected cultivation requires optimization of many environmental and plant variables. Variables of the root zone (rhizosphere) have always been difficult to characterize but have been studied extensively. In soilless production the opportunity exists to optimize these variables in relation to crop production. The project objectives were to model the relationship between biomass production and the rhizosphere variables: temperature, dissolved oxygen concentration and water availability by characterizing potential growth and how this translates to actual growth. As part of this we sought to improve of our understanding of root growth and rhizosphere processes by generating data on the effect of rhizosphere water status, temperature and dissolved oxygen on root growth, modeling potential and actual growth and by developing and calibrating models for various physical and chemical properties in soilless production systems. In particular we sought to use calorimetry to identify potential growth of the plants in relation to these rhizosphere variables. While we did experimental work on various crops, our main model system for the mathematical modeling work was greenhouse cut-flower rose production in soil-less cultivation. In support of this, our objective was the development of a Rose crop model. Specific to this project we sought to create submodels for the rhizosphere processes, integrate these into the rose crop simulation model which we had begun developing prior to the start of this project. We also sought to verify and validate any such models and where feasible create tools that growers could be used for production management. We made significant progress with regard to the use of microcalorimetry. At both locations (Israel and US) we demonstrated that specific growth rate for root and flower stem biomass production were sensitive to dissolved oxygen. Our work also identified that it is possible to identify optimal potential growth scenarios and that for greenhouse-grown rose the optimal root zone temperature for potential growth is around 17 C (substantially lower than is common in commercial greenhouses) while flower production growth potential was indifferent to a range as wide as 17-26C in the root zone. We had several set-backs that highlighted to us the fact that work needs to be done to identify when microcalorimetric research relates to instantaneous plant responses to the environment and when it relates to plant acclimation. One outcome of this research has been our determination that irrigation technology in soilless production systems needs to explicitly include optimization of oxygen in the root zone. Simply structuring the root zone to be “well aerated” is not the most optimal approach, but rather a minimum level. Our future work will focus on implementing direct control over dissolved oxygen in the root zone of soilless production systems.
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