Academic literature on the topic 'Mathematical model of a vacuum'

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Journal articles on the topic "Mathematical model of a vacuum"

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Du, Guizhen, Xianshan Dong, Xinglong Huang, Wei Su, and Peng Zhang. "Reliability Evaluation Based on Mathematical Degradation Model for Vacuum Packaged MEMS Sensor." Micromachines 13, no. 10 (2022): 1713. http://dx.doi.org/10.3390/mi13101713.

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Vacuum packaging is used extensively in MEMS sensors for improving performance. However, the vacuum in the MEMS chamber gradually degenerates over time, which adversely affects the long-term performance of the MEMS sensor. A mathematical model for vacuum degradation is presented in this article for evaluating the degradation of vacuum packaged MEMS sensors, and a temperature-accelerated test of MEMS gyroscope with different vacuums is performed. A mathematical degradation model is developed to fit the parameters of the degradation of Q-factor over time at three different temperatures. The resu
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Dostal, M., and K. Petera. "Vacuum cooling of liquids: mathematical model." Journal of Food Engineering 61, no. 4 (2004): 533–39. http://dx.doi.org/10.1016/s0260-8774(03)00223-1.

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Sadig Mehdiyev, Mahiyaddin. "An empirical model expressing the dependence of the boiling temperature on pressure." NATURE AND SCIENCE 03, no. 04 (2020): 26–28. http://dx.doi.org/10.36719/2707-1146/04/26-28.

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Large sp empiric rules, "When atmospheric pressure drops by half, the boiling point drops by about 15 " has been replaced by a mathematical formula. The proposed mathematical formula is correct for the interval 1≤ <760 mm.Hg. Key words: distillation, vacuum, temperature, empirical, formula
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Laskin, A. A., R. R. Yakupov, A. A. Raykov, T. N. Mustafin, S. I. Salikeev, and A. V. Burmistrov. "Mathematical Model of Screw Vacuum Pump Working Process." Proceedings of Higher Educational Institutions. Маchine Building, no. 8 (749) (August 2022): 65–73. http://dx.doi.org/10.18698/0536-1044-2022-8-65-73.

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The screw vacuum pump combines high performance, low ultimate pressure and ability to create an oil-free vacuum. The calculation of the pump characteristics can be performed using mathematical modeling. The article considers main stages of creating a mathematical model: constructing the geometry of the rotors, calculating the dependence of the working cavity volume and the area of the suction and discharge windows on the angle of rotor rotation, determining the main directions of gas flows, calculating the dependence of pressure and temperature on the angle of rotor rotation. The thermodynamic
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Hous̆ka, M., S̆ Podloucký, R. Z̆itný, et al. "Mathematical model of the vacuum cooling of liquids." Journal of Food Engineering 29, no. 3-4 (1996): 339–48. http://dx.doi.org/10.1016/0260-8774(96)00003-9.

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Raykov, A., S. Salikeev, A. Burmistrov, and M. Fomina. "Non‐contact vacuum pumps." Vakuum in Forschung und Praxis 35, no. 4 (2023): 34–37. http://dx.doi.org/10.1002/vipr.202300804.

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SummaryAn overview of the main methods for mathematical modeling of the working process of non‐contact vacuum pumps is given. The specifics and the main stages of mathematical model development for screw, scroll, claw and Roots vacuum pumps are considered. The results of mathematical modeling of pump characteristics are presented and compared with experimental data. The mathematical modeling technique presented here can be recommended for analyzing the influence of pump geometry and operating conditions on the pump characteristics of non‐contact oil‐free vacuum pumps.
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Aygun, Safarova Agamirza, and İslamzade Nigar. "THE PROBLEM OF İDENTİFİCATİON OF A VACUUM DİSTİLLATİON COLUMN." Annali d'Italia 66 (April 29, 2025): 98–101. https://doi.org/10.5281/zenodo.15303151.

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Development of scientific bases of the automated control system allowing to increase economic efficiency of operation modes of vacuum block of oil refineries, which is one of the main technological processes of the fuel and energy complex, is an urgent problem of great national economic importanceIn the presented paper the main technological parameters characterizing the vacuum column have been determined. A deterministic linear mathematical model capable of adequately reflecting the current technological state of the main apparatuses of the vacuum block of the technological complex of primary
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Zhang, Shi Wei, Zhuo Wang, and Zhi Jun Zhang. "Study on Evacuating Process of Vacuum Glazing." Applied Mechanics and Materials 71-78 (July 2011): 1204–8. http://dx.doi.org/10.4028/www.scientific.net/amm.71-78.1204.

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Vacuum glazing is a very choice in building energy efficiency. Therefore, it is necessary to study on evacuating process of vacuum glazing. Based on fundamental pumping equation of vacuum technique and simplified the existing pumping system for vacuum glazing, a mathematical model, which is described evacuating process of vacuum glazing, is established. An exact mathematical solution is obtained by solving the model. According to the solution, an example from a practical evacuating system is solved and analyzed, and two conclusions are summed up as follows: First, the evacuating time needed fo
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Zhang, Fan, Yu, Zhang, Lv, and Xu. "Study on the Mathematical Model of Vacuum Breaker Valve for Large Air Mass Conditions." Water 11, no. 7 (2019): 1358. http://dx.doi.org/10.3390/w11071358.

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The mathematical model of vacuum breaker valve is significant to the protection scheme. The more accurate the vacuum breaker valve model, the more reliable the calculation results. In this study, the application conditions of the air valve model are analyzed according to the assumptions used in the derivation, and the contradictions between these assumptions are proposed. Then, according to the different working characteristics between the vacuum breaker valve on the siphon outlet pipe and the air valve, the vacuum breaker valve model is deduced based on the modified assumptions. In the deriva
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Lesnyak, I. Y., A. V. Panichkin, and V. A. Urbansky. "MATHEMATICAL MODELING OF THE PROCESS OF DRYING WHEAT GRAIN UNDER ACOUSTIC-VACUUM EXPOSURE." DYNAMICS OF SYSTEMS, MECHANISMS AND MACHINES 11, no. 1 (2023): 10–15. http://dx.doi.org/10.25206/2310-9793-2023-11-1-10-15.

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To investigate the process of drying wheat grain under conditions of combined acousticvacuum exposure, a mathematical model of the process under consideration was developed based on differential equations. Preliminary numerical experiments were carried out using the developed mathematical model. The results of mathematical modeling were obtained in the form of dependencies of changes in mass, temperature and humidity of wheat grain both under separate acoustic and vacuum exposure, and under combined acoustic-vacuum exposure. The drying rate of wheat grain was determined, which is 0.01 g/min un
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Dissertations / Theses on the topic "Mathematical model of a vacuum"

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Heron, Dale Robert. "Mathematical models of superconductivity." Thesis, University of Oxford, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.296893.

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Keita, Sana. "Eulerian Droplet Models: Mathematical Analysis, Improvement and Applications." Thesis, Université d'Ottawa / University of Ottawa, 2018. http://hdl.handle.net/10393/37907.

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The Eulerian description of dispersed two-phase flows results in a system of partial differential equations describing characteristics of the flow, namely volume fraction, density and velocity of the two phases, around any point in space over time. When pressure forces are neglected or a same pressure is considered for both phases, the resulting system is weakly hyperbolic and solutions may exhibit vacuum states (regions void of the dispersed phase) or localized unbounded singularities (delta shocks) that are not physically desirable. Therefore, it is crucial to find a physical way for pr
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Beh, Christopher Chun Keong. "Vacuum swing adsorption process for oxygen enrichment : a study into the dynamics, modelling and control." Monash University, Dept. of Chemical Engineering, 2003. http://arrow.monash.edu.au/hdl/1959.1/9533.

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Robertson, Scott James. "Hawking radiation in dispersive media." Thesis, University of St Andrews, 2011. http://hdl.handle.net/10023/1900.

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Hawking radiation, despite its presence in theoretical physics for over thirty years, remains elusive and undetected. It also suffers, in its original context of gravitational black holes, from conceptual difficulties. Of particular note is the trans-Planckian problem, which is concerned with the apparent origin of the radiation in absurdly high frequencies. In order to gain better theoretical understanding and, it is hoped, experimental verification of Hawking radiation, much study is being devoted to systems which model the spacetime geometry of black holes, and which, by analogy, are also t
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Archalous, Jakub. "Zvýšení sací schopnosti hasičské stříkačky." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2011. http://www.nusl.cz/ntk/nusl-229696.

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This diploma thesis deals with reducing the time of sucking water into the rotating impeller of the centrifugal pump as used in firesport. The suction is carried out by the ejector, which is powered by combustion engine exhaust gases. A mathematical model was created, which shows the flow in the ejector. It was also used as a basis for the creation of a new ejector, which has an increased airflow when getting closer to atmospheric pressure.
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Rabe, Richardt Coenraad. "A model for the vacuum pyrolysis of biomass." Thesis, Stellenbosch : University of Stellenbosch, 2005. http://hdl.handle.net/10019.1/1675.

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Thesis (MScEng (Process Engineering))--University of Stellenbosch, 2005.<br>Biomass is a significant renewable energy source and much research is currently being done to enable the production of biofuels and chemicals from biomass. This study looks at vacuum pyrolysis, a technology which has the potential to turn biomass, amongst other waste materials, into commercially valuable commodities. Vacuum pyrolysis is the thermal degradation of a feedstock in the absence of oxygen and under low pressure, to produce a bio-oil and char as main products, together with water and non-condensable gases. B
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Carrington, James Michael. "Vacuum stability of the standard model and BSM extensions." Thesis, University of Edinburgh, 2013. http://hdl.handle.net/1842/8851.

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The Standard Model scalar potential contains a minimum at the Electroweak scale, responsible for the masses of the weak gauge bosons through the Higgs mechanism. However, if the Electroweak minimum is only a local minimum, and there exists a global minimum at a higher energy in the Higgs potential, then in a su ciently old universe we would expect the vacuum expectation value to be at the global minimum. The absence of a global minimum at higher energy is related to the condition that the Higgs self coupling is greater than or equal to zero for all energies. For any model that fails this, we e
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Jones, Jennifer Grace. "A mathematical model of emphysema." Thesis, University of Bristol, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.269229.

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Dayal, Prabhu 1947. "NAPL remediation by vacuum-enhanced recovery: Laboratory and model evaluations." Diss., The University of Arizona, 1996. http://hdl.handle.net/10150/282100.

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This dissertation presents an innovative methodology in the form of two papers for the feasibility assessment and optimization of Vacuum Enhanced Recovery (VER) to remediate non aqueous phase liquids (NAPLs) in the vadose zone. The first paper demonstrates the use of a pilot-scale two-dimensional laboratory soil cell and an automated dual-energy gamma ray attenuation system for the feasibility assessment of VER to remediate free-product NAPL spills. The investigations were conducted in a 1.5 x 1 x 0.08 meter cell filled with heterogeneous soils for the simultaneous and continuous measurement o
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Song, Xiaolan. "Vacuum Assisted Resin Transfer Molding (VARTM): Model Development and Verification." Diss., Virginia Tech, 2003. http://hdl.handle.net/10919/27168.

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In this investigation, a comprehensive Vacuum Assisted Resin Transfer Molding (VARTM) process simulation model was developed and verified. The model incorporates resin flow through the preform, compaction and relaxation of the preform, and viscosity and cure kinetics of the resin. The computer model can be used to analyze the resin flow details, track the thickness change of the preform, predict the total infiltration time and final fiber volume fraction of the parts, and determine whether the resin could completely infiltrate and uniformly wet out the preform. Flow of resin through the prefo
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Books on the topic "Mathematical model of a vacuum"

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Boldyreva, L. B. A model of superfluid physical vacuum. Fond parapsikhologii im. L.L. Vasilʹeva, 1992.

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1924-, Fradkin E. S., та Shvart͡s︡man Sh M. 1948-, ред. Kvantovai͡a︡ ėlektrodinamika s nestabilʹnym vakuumom. "Nauka," Fizmatlit, 1991.

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Ripka, Georges. Quarks bound by chiral fields: The quark structure of the vacuum and of light mesons and baryons. Clarendon Press, 1997.

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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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W, Zucchini, ed. Model selection. Wiley, 1986.

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Prestel, Alexander, and Charles N. Delzell. Mathematical Logic and Model Theory. Springer London, 2011. http://dx.doi.org/10.1007/978-1-4471-2176-3.

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Bateman, J. E. Surface exafs: A mathematical model. Rutherford Appleton Laboratory, 2000.

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Williams, H. P. Model building in mathematical programming. 3rd ed. Wiley, 1990.

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Williams, H. P. Model building in mathematical programming. 5th ed. Wiley, 2013.

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Williams, H. P. Model solving in mathematical programming. J. Wiley, 1993.

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Book chapters on the topic "Mathematical model of a vacuum"

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Wakeman, Richard J. "Dewatering of Filter Cakes: Vacuum and Pressure Dewatering." In Mathematical Models and Design Methods in Solid-Liquid Separation. Springer Netherlands, 1985. http://dx.doi.org/10.1007/978-94-009-5091-7_12.

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Pletnev, L. V., N. I. Gamayunov, and V. M. Zamyatin. "Computer Simulation of Evaporation Process into the Vacuum." In Mathematical Models of Non-Linear Excitations, Transfer, Dynamics, and Control in Condensed Systems and Other Media. Springer US, 1999. http://dx.doi.org/10.1007/978-1-4615-4799-0_13.

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Zhou, Shichang, Xinming Cao, Chengrui Gao, and Yanyong Yang. "Performance Measurement and Mathematical Model Identification of the Hydraulic Servo Control System of a Vacuum Electric-Arc Furnace." In Systems Analysis and Simulation II. Springer US, 1988. http://dx.doi.org/10.1007/978-1-4613-8936-1_36.

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Fursaev, Dmitri, and Dmitri Vassilevich. "Vacuum Energy." In Theoretical and Mathematical Physics. Springer Netherlands, 2011. http://dx.doi.org/10.1007/978-94-007-0205-9_9.

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Glazek. "Finding Quarkonia in QCD Vacuum." In Recent Developments in Mathematical Physics. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-73104-4_16.

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Danilov, Vladimir, Roman Gaydukov, and Vadim Kretov. "Mathematical Model." In Heat and Mass Transfer. Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-15-0195-1_3.

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Qin, Tongran. "Mathematical Model." In Springer Theses. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-61331-4_2.

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Gross, Sven, and Arnold Reusken. "Mathematical model." In Springer Series in Computational Mathematics. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-19686-7_10.

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Gross, Sven, and Arnold Reusken. "Mathematical model." In Springer Series in Computational Mathematics. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-19686-7_12.

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Gross, Sven, and Arnold Reusken. "Mathematical model." In Springer Series in Computational Mathematics. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-19686-7_6.

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Conference papers on the topic "Mathematical model of a vacuum"

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Kharin, S. N., and T. Nauryz. "Mathematical Model of the Dynamics of Closure of Electrical Contacts in Vacuum." In 2024 IEEE 69th Holm Conference on Electrical Contacts (HOLM). IEEE, 2024. https://doi.org/10.1109/holm56222.2024.10768628.

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Wang, L., J. Chen, Z. Zhang, X. Wang, H. Wang, and Y. Xie. "Model of multi-components vacuum arcs and its application in vacuum interrupters and vacuum ion sources." In 2024 IEEE International Conference on Plasma Science (ICOPS). IEEE, 2024. http://dx.doi.org/10.1109/icops58192.2024.10627416.

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Londer, Ya I., and K. N. Ulyanov. "Mathematical Model of the Vacuum Arc in an External Axial Magnetic Field." In 2006 International Symposium on Discharges and Electrical Insulation in Vacuum. IEEE, 2006. http://dx.doi.org/10.1109/deiv.2006.357292.

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Inkin, Timur, and I. Shtennikov. "A MATHEMATICAL MODEL FOR PREDICTING THE RATE OF FORMATION OF A CONDENSATION COATING DURING THERMAL EVAPORATION IN VACUUM." In CAD/EDA/SIMULATION IN MODERN ELECTRONICS 2019. Bryansk State Technical University, 2019. http://dx.doi.org/10.30987/conferencearticle_5e0282122d2f44.32093157.

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A mathematical model of the rate of formation of a metal coating on the inner surface of hollow products by thermal evaporation in vacuum from a coaxially located rod evaporator is obtained. An experimental verification of the results of theoretical studies.
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S R, Nagendiran, Arun Subramanian, J. Suresh kumar, and Ramalingam Sivanantham. "Designing of Automotive Vacuum Pumps - Development of Mathematical Model for Critical Parameters and Optimization using Artificial Neural Networks." In SAE 2012 World Congress & Exhibition. SAE International, 2012. http://dx.doi.org/10.4271/2012-01-0779.

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Ilyuschenko, A., V. Okovity, S. Kundas, and V. Gurevich. "Simulation and Experimental Studies of Particles Interaction with Plasma Jet in Vacuum Plasma Spraying Processes." In ITSC 2000, edited by Christopher C. Berndt. ASM International, 2000. http://dx.doi.org/10.31399/asm.cp.itsc2000p0229.

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Abstract Mathematical and computer models of movement and heating of particles in low pressure conditions are developed. The mathematical models are based on the molecular-kinetics theory of gases. A program complex for computer realization of models is developed. It contains a built-in data base of temperature dependent properties of substances, system of processing and graphic visualization of simulation results. For verification of the developed models, computer simulation and experimental measurements of Al2O3 particle temperature and velocity are conducted. These materials were sprayed wi
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Gamba, Mirko, Hakan Ertu¨rk, Ofodike A. Ezekoye, and John R. Howell. "Modeling of a Radiative RTP-Type Furnace Through an Inverse Design: Mathematical Model and Experimental Results." In ASME 2002 International Mechanical Engineering Congress and Exposition. ASMEDC, 2002. http://dx.doi.org/10.1115/imece2002-33844.

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The present study considers the inverse thermal design of an existing radiatively heated chamber for rapid thermal processing (RTP) of semiconductor wafers and compares the numerical results from the inverse mathematical model with experimental measurements directly taken on the physical system. The purpose of this study is to calculate with an inverse approach the power input of the chamber heating elements in order to achieve specific temperature and heat flux distributions on the design surface (wafer). Once a reasonable solution is found, the experimental confirmation takes place. The stud
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Gopalan, R., A. M. Al-Jumaily, and P. Leece. "An Investigation Into the Drying of Distribution Transformers Using the Hot Air Vacuum Method." In ASME 2000 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/imece2000-1328.

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Abstract A hot air vacuum method with considerable difference in design and constructional features as compared with the conventional process of a normal convection oven has been built and operated for drying transformers up to 1000 kVA, 33 kV. Moisture-equilibrium charts for kraft paper were used for designing the drying system. A high temperature air circulation fan placed inside the vacuum chamber simplified the construction and using air ducts directed at the transformer inside the autoclave improved the heat transfer capability and reduced the heating time for the transformer. A dry vacuu
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Zhao, Yunyun, Yanping Zhang, Shuhong Huang, Jianlan Li, and Yueqin Li. "Energy Saving and Optimization Research on the Condensation-Steam System of a Supercritical Thermal Power Plant." In ASME 2011 Power Conference collocated with JSME ICOPE 2011. ASMEDC, 2011. http://dx.doi.org/10.1115/power2011-55424.

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The efficiency and reliability of thermal power plant directly depends on conditions of the condensation-steam system. The key of energy-saving and optimal operation in condensation-steam system is to adjust the circulating cooling water flow with different operation conditions to get the optimal vacuum. This paper presents the optimal mathematical model of circulating water flow of a 600MW supercritical thermal power plant using Matlab/Simulink. And this model has comprehensively considered the coupling influence of many parameters on the optimal vacuum, including circulating cooling water te
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Ku, Jentung, Triem Hoang, and Tamara O’Connell. "Mathematical Modeling of a Miniature Loop Heat Pipe With Two Evaporators and Two Condensers." In ASME 2009 Heat Transfer Summer Conference collocated with the InterPACK09 and 3rd Energy Sustainability Conferences. ASMEDC, 2009. http://dx.doi.org/10.1115/ht2009-88243.

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A loop heat pipe (LHP) analytical model that simulates the steady state and transient thermal behaviors of LHPs with multiple evaporators and multiple condensers has recently been developed. It can be used as a stand-alone computer code or as a subroutine to general spacecraft thermal analyzers. Multi-evaporator and multi-condenser LHPs are more complex in their operation when compared to single-evaporator LHPs because of the thermal and fluid interactions among the evaporators, compensation chambers, and condensers. This analytical model has been used to simulate the thermal performance of a
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Reports on the topic "Mathematical model of a vacuum"

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Pokorny, Richard, and Pavel R. Hrma. Mathematical Model of Cold Cap?Preliminary One-Dimensional Model Development. Office of Scientific and Technical Information (OSTI), 2011. http://dx.doi.org/10.2172/1012879.

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Buchanan, C. R., and M. H. Sherman. A mathematical model for infiltration heat recovery. Office of Scientific and Technical Information (OSTI), 2000. http://dx.doi.org/10.2172/767547.

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Danos, Michael, Daniel Gogny, and Daniel Iracane. Model for the non-perturbative QCD vacuum. National Institute of Standards and Technology, 1991. http://dx.doi.org/10.6028/nist.ir.4555.

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Preto, F. A mathematical model for fluidized bed coal combustion. Natural Resources Canada/ESS/Scientific and Technical Publishing Services, 1985. http://dx.doi.org/10.4095/302616.

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Matt, S. M., and Long N. Dinh. Corrosion growth model for previously vacuum-baked LiH. Office of Scientific and Technical Information (OSTI), 2019. http://dx.doi.org/10.2172/1530677.

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McWilliams, Jennifer, and Melanie Jung. Development of a Mathematical Air-Leakage Model from MeasuredData. Office of Scientific and Technical Information (OSTI), 2006. http://dx.doi.org/10.2172/883786.

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Srivastava, Prem P. Light-Front Quantized Chiral Model and its Vacuum Structure. Office of Scientific and Technical Information (OSTI), 1998. http://dx.doi.org/10.2172/10194.

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Augustine, David B. Vacuum Analysis of Texas Foil Model 6 Serial 7. Office of Scientific and Technical Information (OSTI), 2009. http://dx.doi.org/10.2172/1556947.

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Schneider, Michael L., and Richard E. Price. Temperature Analysis: Howard A. Hanson Reservoir, Washington. Mathematical Model Investigation. Defense Technical Information Center, 1988. http://dx.doi.org/10.21236/ada200228.

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Smith, F. G. III. Mathematical model of the Savannah River Site waste tank farm. Office of Scientific and Technical Information (OSTI), 1991. http://dx.doi.org/10.2172/5788555.

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