• Title/Summary/Keyword: Mathematical theory

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Kinetic Model of Steam-Methane Reforming Reactions over Ni-Based Catalyst (니켈기반 촉매를 사용한 메탄가스-수증기 개질반응의 모사)

  • Lee, HongJin;Kim, Woohyun;Lee, Kyubock;Yoon, Wang Lai
    • Korean Chemical Engineering Research
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    • v.56 no.6
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    • pp.914-920
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    • 2018
  • The intrinsic kinetic parameters of steam-methane reforming reactions over commercial nickel-based catalyst were determined. The reaction rate equations were derived from the reaction mechanism-based Langmuir-Hinshelwood chemisorption theory. As the experimental variables for the kinetic study, the reaction temperature ranged from 630 to $750^{\circ}C$ and the steam-to-carbon ratio also varied from 2.7 to 3.5. Based on the experimental data, the efficient optimization algorithm was used to determine the intrinsic kinetic parameters due to the high-dimensional objective function. It is confirmed that the parameter estimation results showed good agreement with the experimental values. Thus, this proposed mathematical reaction model can be used as the basic information to design a catalytic reactor and to optimize operating conditions.

Earthquake response of nanocomposite concrete pipes conveying and immersing in fluid using numerical methods

  • Maleki, Mostafa;Bidgoli, Mahmood Rabani;Kolahchi, Reza
    • Computers and Concrete
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    • v.24 no.2
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    • pp.125-135
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    • 2019
  • Concrete pipelines are the most efficient and safe means for gas and oil transportation over a long distance. The use of nano materials and nono-engineering can be considered for enhancing concrete pipelines properties. the tests show that SiO2 nanoparticles can improve the mechanical behavior of concrete. Moreover, severe hazard for pipelines is seismic ground motion. Over the years, scientists have attempted to understand pipe behavior against earthquake most frequently via numerical modeling and simulation. Therefore, in this paper, the dynamic response of underwater nanocomposite submerged pipeline conveying fluid is studied. The structure is subjected to the dynamic loads caused by earthquake and the governing equations of the system are derived using mathematical model via Classic shell theory and Hamilton's principle. Navier-Stokes equation is employed to calculate the force due to the fluid in the pipe. As well, the effect of external fluid is modeled with an external force. Mori-Tanaka approach is used to estimate the equivalent material properties of the nanocomposite. 1978 Tabas earthquake in Iran is considered for modelling seismic load. The dynamic displacement of the structure is extracted using differential quadrature method (DQM) and Newmark method. The effects of different parameters such as SiO2 nanoparticles volume percent, boundary conditions, thickness to radius ratios, length to radius ratios, internal and external fluid pressure and earthquake intensity are discussed on the seismic response of the structure. From results obtained in this paper, it can be found that the dynamic response of the pipe is increased in the presence of internal and external fluid. Furthermore, the use of SiO2 nanoparticles in concrete pipeline reduces the displacement of the structure during an earthquake.

Physical and numerical modelling of the inherent variability of shear strength in soil mechanics

  • Chenari, Reza Jamshidi;Fatahi, Behzad;Ghoreishi, Malahat;Taleb, Ali
    • Geomechanics and Engineering
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    • v.17 no.1
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    • pp.31-45
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    • 2019
  • In this study the spatial variability of soils is substantiated physically and numerically by using random field theory. Heterogeneous samples are fabricated by combining nine homogeneous soil clusters that are assumed to be elements of an adopted random field. Homogeneous soils are prepared by mixing different percentages of kaolin and bentonite at water contents equivalent to their respective liquid limits. Comprehensive characteristic laboratory tests were carried out before embarking on direct shear experiments to deduce the basic correlations and properties of nine homogeneous soil clusters that serve to reconstitute the heterogeneous samples. The tests consist of Atterberg limits, and Oedometric and unconfined compression tests. The undrained shear strength of nine soil clusters were measured by the unconfined compression test data, and then correlations were made between the water content and the strength and stiffness of soil samples with different consistency limits. The direct shear strength of heterogeneous samples of different stochastic properties was then evaluated by physical and numerical modelling using FISH code programming in finite difference software of $FLAC^{3D}$. The results of the experimental and stochastic numerical analyses were then compared. The deviation of numerical simulations from direct shear load-displacement profiles taken from different sources were discussed, potential sources of error was introduced and elaborated. This study was primarily to explain the mathematical and physical procedures of sample preparation in stochastic soil mechanics. It can be extended to different problems and applications in geotechnical engineering discipline to take in to account the variability of strength and deformation parameters.

A hidden Markov model for predicting global stock market index (은닉 마르코프 모델을 이용한 국가별 주가지수 예측)

  • Kang, Hajin;Hwang, Beom Seuk
    • The Korean Journal of Applied Statistics
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    • v.34 no.3
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    • pp.461-475
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    • 2021
  • Hidden Markov model (HMM) is a statistical model in which the system consists of two elements, hidden states and observable results. HMM has been actively used in various fields, especially for time series data in the financial sector, since it has a variety of mathematical structures. Based on the HMM theory, this research is intended to apply the domestic KOSPI200 stock index as well as the prediction of global stock indexes such as NIKKEI225, HSI, S&P500 and FTSE100. In addition, we would like to compare and examine the differences in results between the HMM and support vector regression (SVR), which is frequently used to predict the stock price, due to recent developments in the artificial intelligence sector.

Icevaning control of an Arctic offshore vessel and its experimental validation

  • Kim, Young-Shik;Kim, Jinwhan
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.13 no.1
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    • pp.208-222
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    • 2021
  • Managing with the presence of sea ice is the primary challenge in the operation of floating platforms in the Arctic region. It is widely accepted that offshore structures operating in Arctic conditions need station-keeping methods as well as ice management by icebreakers. Dynamic Positioning (DP) is one of the station-keeping methods that can provide mobility and flexibility in marine operations. The presence of sea ice generates complex external forces and moments acting on the vessel, which need to be counteracted by the DP system. In this paper, an icevaning control algorithm is proposed that enables Arctic offshore vessels to perform DP operations. The proposed icevaning control enables each vessel to be oriented toward the direction of the mean environmental force induced by ice drifting so as to improve the operational safety and reduce the overall thruster power consumption by having minimum external disturbances naturally. A mathematical model of an Arctic offshore vessel is summarized for the development of the new icevaning control algorithm. To determine the icevaning action of the Arctic offshore vessel without any measurements and estimation of ice conditions including ice drift, task and null space are defined in the vessel model, and the control law is formulated in the task space. A backstepping technique is utilized to handle the nonlinearity of the Arctic offshore vessel's dynamic model, and the Lyapunov stability theory is applied to guarantee the stability of the proposed icevaning control algorithm. Experiments are conducted in the ice tank of the Korea Research Institute of Ships and Ocean Engineering to demonstrate the feasibility of the proposed approach.

Modeling of Boiler Steam System in a Thermal Power Plant Based on Generalized Regression Neural Network (GRNN 알고리즘을 이용한 화력발전소 보일러 증기계통의 모델링에 관한 연구)

  • Lee, Soon-Young;Lee, Jung-Hoon
    • Journal of IKEEE
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    • v.26 no.3
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    • pp.349-354
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    • 2022
  • In thermal power plants, boiler models have been used widely in evaluating logic configurations, performing system tuning and applying control theory, etc. Furthermore, proper plant models are needed to design the accurate controllers. Sometimes, mathematical models can not exactly describe a power plant due to time varying, nonlinearity, uncertainties and complexity of the thermal power plants. In this case, a neural network can be a useful method to estimate such systems. In this paper, the models of boiler steam system in a thermal power plant are developed by using a generalized regression neural network(GRNN). The models of the superheater, reheater, attemperator and drum are designed by using GRNN and the models are trained and validate with the real data obtained in 540[MW] power plant. The validation results showed that proposed models agree with actual outputs of the drum boiler well.

Added Mass of Submerged Bodies Obtained by Forced Oscillation Tests and Numerical Calculations of Potential Flow (수중운동체의 강제동요시험 및 포텐셜 계산에 의한 부가질량 추정)

  • Kim, Dong Jin;Lee, Gyeong Joong;Kwon, Chang Seop;Kim, Yeon Gyu;Park, Jin-Yeong;Jun, Bong-Huan
    • Journal of the Society of Naval Architects of Korea
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    • v.59 no.4
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    • pp.214-224
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    • 2022
  • It is necessary to estimate manoeuvring characteristics of submerged bodies at the design stage in order to ensure the safe operations. In this study, added mass coefficients in the mathematical model of submerged bodies are estimated by captive model tests and numerical calculations. Two kinds of models, MARIN 'BB2'submarine model and AUV (Autonomous unmanned vehicle) model are utilized in the forced oscillation tests. Compared to BB2 submarine, AUV with cylindrical type hull form shows relatively small added masses in roll, pitch, and yaw directions. Next, numerical calculations based on potential theory are performed under the assumption that viscous effects on inertia forces are negligible. Added masses obtained by numerical calculations are in good agreements with forced oscillation test results. And if slow manoeuvres of submerged bodies are presumed, some of velocity coupled terms can be approximated by combinations of added mass coefficients.

Weight as Knowledge to be taught according to Didactic Transposition Theory (가르칠 지식으로서 무게에 대한 분석: 교수학적 변환 이론을 중심으로)

  • Choi, Jisun
    • Education of Primary School Mathematics
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    • v.25 no.4
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    • pp.377-394
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    • 2022
  • Criticism has been raised that the way of teaching weights in the 3rd and 4th graders of elementary school is different between the 2015 revised math curriculum and the 2015 revised science curriculum, causing confusion among elementary school teachers and students. This study tried to confirm the social recognition that should be considered in the process of didactic transformation which means transformation from knowledge to used into knowledge to taught and to compare the variations of didactic transformations differently according to didactic intentions. The research analyzes and synthesizes the root of the meaning of weight, weight in the international standard system of units SI, weight implemented in Korean mathematics curriculum and textbooks, Singaporean mathematics curriculum and textbooks, USA mathematics curriculum and textbooks, and Korean science curriculum and textbooks. Through this analysis, a pedagogical perspective on how to define and teach weight in elementary school as knowledge to be taught was derived.

Study of an improved and novel venturi scrubber configuration for removal of radioactive gases from NPP containment air during severe accident

  • Farooq, Mujahid;Ahmed, Ammar;Qureshi, Kamran;Shah, Ajmal;Waheed, Khalid;Siddique, Waseem;Irfan, Naseem;Ahmad, Masroor;Farooq, Amjad
    • Nuclear Engineering and Technology
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    • v.54 no.9
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    • pp.3310-3316
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    • 2022
  • Owing to the rising concerns about the safety of nuclear power plants (NPP), it is essential to study the venturi scrubber in detail, which is a key component of the filtered containment venting system (FCVS). FCVS alleviates the pressurein containment byfiltering and venting out the contaminated air. Themain objective of this research was to perform a CFD investigation of different configurations of a circular, non-submerged, self-priming venturi scrubber to estimate and improve the performance in the removal of elemental iodine from the air. For benchmarking, a mass transfer model which is based on two-film theory was selected and validated by experimental data where an alkaline solution was considered as the scrubbing solution. This mass transfer model was modified and implemented on a unique formation of two self-priming venturi scrubbers in series. Euler-Euler method was used for two-phase modeling and the realizable K-ε model was used for capturing the turbulence. The obtained results showed a remarkable improvement in the removal of radioactive iodine from the air using a series combination of venturi scrubbers. The removal efficiency was improved at every single data point.

Digitalization and Diversification of Modern Educational Space (Ukrainian case)

  • Oksana, Bohomaz;Inna, Koreneva;Valentyn, Lihus;Yanina, Kambalova;Shevchuk, Victoria;Hanna, Tolchieva
    • International Journal of Computer Science & Network Security
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    • v.22 no.11
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    • pp.11-18
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    • 2022
  • Linking Ukraine's education system with the trends of global digitalization is mandatory to ensure the sustainable, long-term development of the country, as well as to increase the sustainability of the education system and the economy as a whole during the crisis period. Now the main problems of the education system in Ukraine are manifested in a complex context caused by Russian armed aggression. In the context of war, problems include differences in adaptation to online learning among educational institutions, limited access to education for vulnerable groups in the zone of active hostilities, the lack of digital educational resources suitable for online learning, and the lack of basic digital skills and competencies among students and teachers necessary to properly conduct online classes. Some of the problems of online learning were solved in the pandemic, but in the context of war Ukrainian society needs a new vision of education and continuous efforts of all social structures in the public and private environment. In the context of war, concerted action is needed to keep education on track and restore it in active zones, adapting to the needs of a dynamic society and an increasingly digitized economy. Among the urgent needs of the education system are a change in the teaching-learning paradigm, which is based on content presentation, memorization, and reproduction, and the adoption of a new, hybrid educational model that will encourage the development of necessary skills and abilities for students and learners in a digitized society and enable citizens close to war zones to learn.