• Title/Summary/Keyword: Weak solutions

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EFFECT OF MAGNETIC FIELD ON LONGITUDINAL FLUID VELOCITY OF INCOMPRESSIBLE DUSTY FLUID

  • N. JAGANNADHAM;B.K. RATH;D.K. DASH
    • Journal of applied mathematics & informatics
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    • v.41 no.2
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    • pp.401-411
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    • 2023
  • The effects of longitudinal velocity dusty fluid flow in a weak magnetic field are investigated in this paper. An external uniform magnetic field parallel to the flow of dusty fluid influences the flow of dusty fluid. Besides that, the problem under investigation is completely defined in terms of identifying parameters such as longitudinal velocity (u), Hartmann number (M), dust particle interactions β, stock resistance γ, Reynolds number (Re) and magnetic Reynolds number (Rm). While using suitable transformations of resemblance, The governing partial differential equations are transformed into a system of ordinary differential equations. The Hankel Transformation is used to solve these equations numerically. The effects of representing parameters on the fluid phase and particle phase velocity flow are investigated in this analysis. The magnitude of the fluid particle is reduced significantly. The result indicates the magnitude of the particle reduced significantly. Although some of our numerical solutions agree with some of the available results in the literature review, other results differs because of the effect of the introduced magnetic field.

Test-particle Solutions for Electron Acceleration in Low Mach Number Shocks

  • Kang, Hyesung
    • The Bulletin of The Korean Astronomical Society
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    • v.45 no.1
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    • pp.52.1-52.1
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    • 2020
  • We propose semi-analytic models for the electron momentum distribution in weak shocks that accounts for both in situ acceleration and reacceleration through diffusive shock acceleration (DSA). In the former case, a small fraction of incoming electrons is assumed to be reflected at the shock ramp and pre-accelerated to the so-called injection momentum, pinj, above which particles can diffuse across the shock transition and participate in the DSA process. This leads to the DSA power-law distribution extending from the smallest momentum of reflected electrons, pref, all the way to the cutoff momentum, peq, constrained by radiative cooling. In the latter case, fossil electrons, specified by a power-law spectrum with a cutoff, are assumed to be re-accelerated from pref up to peq via DSA. We show that, in the in situ acceleration model, the amplitude of radio synchrotron emission depends strongly on the shock Mach number, whereas it varies rather weakly in the re-acceleration model.

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Design and Simulation of Policy Based Integrated Server System Capable to Provide Real-time Internet Security Service (실시간 인터넷 보안 서비스 제공을 위한 정책기반 통합 서버 설계 및 시뮬레이션)

  • Kim, Gi-Yeong;An, Gae-Il;Jang, Jong-Su;Lee, Sang-Ho
    • The KIPS Transactions:PartC
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    • v.8C no.5
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    • pp.565-572
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    • 2001
  • Recently, due to the open architecture of the internet and wide spread of internet users, the cyber terror threatens to the network\`s weak point are tending grow. Until now, information security solutions are passive on security host and particular security system. This passive information security solution is weak from the attacks through the networks connected worldwide internet systems, and has limitation on the defense against cyber terror attacks. Therefore, network level integrated security function must be provided. In this paper, we consider technology limitations on the information security problems and its environment. Then we present the architecture and functions of policy-based information security services for network level active information security function. This paper also includes design of target system, which provide information security services. Finally, we discuss network level system deployment direction and discuss with Network Security Simulation.

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An Improved AdaBoost Algorithm by Clustering Samples (샘플 군집화를 이용한 개선된 아다부스트 알고리즘)

  • Baek, Yeul-Min;Kim, Joong-Geun;Kim, Whoi-Yul
    • Journal of Broadcast Engineering
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    • v.18 no.4
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    • pp.643-646
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    • 2013
  • We present an improved AdaBoost algorithm to avoid overfitting phenomenon. AdaBoost is widely known as one of the best solutions for object detection. However, AdaBoost tends to be overfitting when a training dataset has noisy samples. To avoid the overfitting phenomenon of AdaBoost, the proposed method divides positive samples into K clusters using k-means algorithm, and then uses only one cluster to minimize the training error at each iteration of weak learning. Through this, excessive partitions of samples are prevented. Also, noisy samples are excluded for the training of weak learners so that the overfitting phenomenon is effectively reduced. In our experiment, the proposed method shows better classification and generalization ability than conventional boosting algorithms with various real world datasets.

A Numerical Study for Natural Convective Heat Transfer by Finite Element Method (유한요소법을 이용한 자연대류열전달 수치해석 연구)

  • ;Ashley F. Emery
    • Journal of Energy Engineering
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    • v.7 no.1
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    • pp.113-121
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    • 1998
  • In natural convection flows, the fluid velocities are highly dependent on the thermal field and property variations can have a strong effect on both the flow and thermal fields. To examine the effect of property variations, at first, numerical analyses covering wide range of the Prandtl number under the same Rayleigh numbers have been carried out. Next, we have modeled the viscosity and thermal conductivity as parabolic functions of temperature and a comprehensive set of numerical solutions have been obtained to understand the effect. The Prandtl number dependence of Nusselt number is fairly strong even though the effect is still weak compared to the Rayleigh number dependence. When thermophysical properties are dependent on temperature, the flow field showed a fairly weak variation except near boundaries, whereas the temperature field is strongly affected, especially by the temperature dependent thermal conductivity.

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Establishing the Strategy of Effective Construction VE for Construction Firms (건설기업 관점의 효과적인 시공 VE 수행을 위한 전략 도출 연구)

  • Park, Chan Young;Yun, Sungmin;Lee, Dong-Eun
    • Korean Journal of Construction Engineering and Management
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    • v.22 no.2
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    • pp.80-87
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    • 2021
  • Shortage of SOC budget and inappropriate initial construction cost planning have worsened the economic sentiment of the construction firm. Construction VE can be one of the solutions for improving the profitability of construction projects. This study identifies the strong and weak points of construction firms for establishing the strategy of effective construction VE by using importance-performance analysis. As a result, construction firms have strong points on support, cooperation, and knowledge about construction VE, but have weak points on 'VE experience of VE leader', 'Detailed cost estimation', and 'Idea generation and evaluation'. This paper contributes to establishing the strategy of effective construction VE from the perspective of the construction firm, which is differentiated from previous studies that have focused on the institutional approach for construction VE.

Analysis of High School Science Textual Descriptions of Scientifically Debatable Compounds According to the Experimental Results by MBL: A Case Study of Carbonic Acid in Water and Aqueous Solution of Carbon Dioxide (MBL 실험 결과를 토대로 한 과학적으로 논의 되고 있는 화합물의 고등학교 과학 교과서 기술 분석: 이산화탄소 수용액과 탄산 수용액의 경우)

  • Jeoung, Jee-Young;Min, Kyeong-Jin;Chae, Hee-K.
    • Journal of the Korean Chemical Society
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    • v.54 no.4
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    • pp.479-486
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    • 2010
  • The purposes of this study are to investigate the description of scientifically debatable carbonic acid in the Korean high school textbooks, characterize the physical properties of 'carbonic acid solutions' by using an MBL set-up and compare the properties with textual ones. Four different aqueous solutions of carbon dioxide have been prepared and analyzed: naturally aerated aqueous solution, dry ice-dissolving solution, $CO_2$-bubbling solution and commercial carbonic acid water. Experimental findings showed that pH and conductivity of these 4 solutions ranged from 3.85 to 5.66 and from 0.21 ${\mu}S$/cm to 272.1 ${\mu}S$/cm, respectively. Out of these solutions, the dissociation constant($K_{a1}$) of the bubbling solution at room temperature could be calculated to $5.7{\times}10^{-7}$ which value is comparable to the textual $4.3{\times}10^{-7}$ within experimental errors, which means that textual compound is not pure carbonic acid but the equilibrated mixture of carbonic acid and the aqueous solution of carbon dioxide. On the other hand, textual analysis showed that most of high school textbooks used carbonic acid as an example of weak acid and buffer solution of the blood but none of them distinguished the carbonic acid from the aqueous solution of carbon dioxide. Only one textbook, however, tiered two species in the chemical equation.

Population and Interconversion of Neutral and Zwitterionic Forms of L-Alanine in Solution

  • Kang, Young-Kee;Byun, Byung-Jin;Kim, Yong-Hyun;Kim, Yun-Ho;Lee, Dong-Hwa;Lee, Joo-Yun
    • Bulletin of the Korean Chemical Society
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    • v.29 no.6
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    • pp.1149-1156
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    • 2008
  • The conformational study on neutral and zwitterionic L-alanines (N-Ala and Z-Ala, respectively) and the transition state (TS) for their interconversion is carried out using ab initio HF and density functional B3LYP methods with the self-consistent reaction field method in the gas phase and in solution. At both the HF and B3LYP levels of theory, the local minimum N1 for N-Ala is found to be most preferred in the gas phase and a weak asymmetric bifurcated hydrogen bond between the amino hydrogens and the carbonyl oxygen appears to play a role in stabilizing this conformation. The local minima N2a and N2b are found to be the second preferred conformations, which seem to be stabilized by a hydrogen bond between the amino nitrogen and the carboxylic hydrogen. The relative stability of the local minimum N2b is remarkably increased in solution than that in the gas phase. The local minimum N2b becomes more stable than the local minimum N2a in most of the solution. On the whole the relative free energies of Z-Ala and TS become more lowered, as the solvent polarity increases. N-Ala prevails over Z-Ala in aprotic solutions but Z-Ala is dominantly populated in ethanol and water. In aprotic solutions, the population of Z-Ala increases somewhat with the increase of solvent polarity. The barrier to Z-Ala-to-N-Ala interconversion increases on the whole with the increase of solvent polarity, which is caused by the increase of stability for Z-Ala.

Assessment of Acid Solubility Test on Korean Asbestos by Transmission Electron Microscope Equipped with Energy Dispersive X-ray Spectrometer (한국산 석면의 산 용해도 평가 연구)

  • Chung, Yong Hyun;Han, Jeong Hee
    • Journal of Korean Society of Occupational and Environmental Hygiene
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    • v.24 no.2
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    • pp.146-151
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    • 2014
  • Objectives: Chrysotile is mineralogically distinct from amphiboles, displaying a notably different chemical structure. The thin sheets that form chrysotile fiber lead to the ability of the lung/macrophage system to decompose the chrysotile fibers. This study was performed in order to compare the physicochemical characteristics of Korean asbestos with those of Canadian amphiboles. Materials: An acid solubility test for each test substance was done to compare pH 4.5 and pH 1.2 distilled water. Asbestos fibers which had been placed in acid solutions for five days, five weeks and weeks were analyzed with a transmission electron microscope equipped with an energy dispersive X-ray spectrometer (TEM-EDS). Results: The composition element (Mg) of Korean chrysotile, Korean anthophyllite and Canadian amosite significantly decreased from 5 days and also decreased significantly after 5 weeks and 10 weeks. Only the composition (Mg) of Canadian crocidolite did not change under any conditions. From 5 days, the Mg of Korean chrysotile, Korean anthophyllite and Canadian amosite were significantly lower than before the acid treatment, but there were no changes over time or by the pH of the acid solutions. Particularly after 10 weeks, the composition (Mg) of Korean chrysotile in the pH 1.2 acid solution showed a rapid reduction of 15.86%. Conclusions: Korean chrysotile was very weak in an acid environment, beginning to show significant changes after 5 days. The Mg component rapidly decreased after 10 weeks in the pH 1.2 acid solution.

ON THE SUFFICIENT CONDITION FOR THE LINEARIZED APPROXIMATION OF THE B$\"{E}$NARD CONVECTION PROBLEM

  • Song, Jong-Chul;Jeon, Chang-Ho
    • Bulletin of the Korean Mathematical Society
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    • v.29 no.1
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    • pp.125-135
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    • 1992
  • In various viscus flow problems it has been the custom to replace the convective derivative by the ordinary partial derivative in problems for which the data are small. In this paper we consider the Benard Convection problem with small data and compare the solution of this problem (assumed to exist) with that of the linearized system resulting from dropping the nonlinear terms in the expression for the convective derivative. The objective of the present work is to derive an estimate for the error introduced in neglecting the convective inertia terms. In fact, we derive an explicit bound for the L$_{2}$ error. Indeed, if the initial data are O(.epsilon.) where .epsilon. << 1, and the Rayleigh number is sufficiently small, we show that this error is bounded by the product of a term of O(.epsilon.$^{2}$) times a decaying exponential in time. The results of the present paper then give a justification for linearizing the Benard Convection problem. We remark that although our results are derived for classical solutions, extensions to appropriately defined weak solutions are obvious. Throughout this paper we will make use of a comma to denote partial differentiation and adopt the summation convention of summing over repeated indices (in a term of an expression) from one to three. As reference to work of continuous dependence on modelling and initial data, we mention the papers of Payne and Sather [8], Ames [2] Adelson [1], Bennett [3], Payne et al. [9], and Song [11,12,13,14]. Also, a similar analysis of a micropolar fluid problem backward in time (an ill-posed problem) was given by Payne and Straughan [10] and Payne [7].

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