• 제목/요약/키워드: Initial Solution

검색결과 2,458건 처리시간 0.029초

Simultaneous degradation of nitrogenous heterocyclic compounds by catalytic wet-peroxidation process using box-behnken design

  • Gosu, Vijayalakshmi;Arora, Shivali;Subbaramaiah, Verraboina
    • Environmental Engineering Research
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    • 제25권4호
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    • pp.488-497
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    • 2020
  • The present study investigates the feasibility of nitrogenous heterocyclic compounds (NHCs) (Pyridine-Quinoline) degradation by catalytic wet peroxidation (CWPO) in the presence of nanoscale zerovalent iron supported on granular activated carbon (nFe0/GAC) using statistical optimization technique. Response surface methodology (RSM) in combination with Box-Behnken design (BBD) was used to optimize the process parameters of CWPO process such as initial pH, catalyst dose, hydrogen peroxide dose, initial concentration of pyridine (Py) and quinolone (Qn) were chosen as the main variables, and total organic carbon (TOC) removal and total Fe leaching were selected as the investigated response. The optimization of process parameters by desirability function showed the ~85% of TOC removal with process condition of initial solution pH 3.5, catalyst dose of 0.55 g/L, hydrogen peroxide concentration of 0.34 mmol, initial concentration of Py 200 mg/L and initial concentration of Qn 200 mg/L. Further, for TOC removal the analysis of variance results of the RSM revealed that all parameter i.e. initial pH, catalyst dose, hydrogen peroxide dose, initial concentration of Py and initial concentration of Qn were highly significant according to the p values (p < 0.05). The quadratic model was found to be the best fit for experimental data. The present study revealed that BBD was reliable and effective for the determination of the optimum conditions for CWPO of NHCs (Py-Qn).

Torsional wave dispersion in a bi-layered hollow cylinder with inhomogeneous initial stresses caused by internal and external radial pressures

  • Akbarov, Surkay D.;Bagirov, Emin T.
    • Structural Engineering and Mechanics
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    • 제77권5호
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    • pp.571-586
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    • 2021
  • The present paper studies the influence of the inhomogeneous initial stresses in the bi-layered hollow cylinder and it is assumed that these stresses are caused by the hydrostatic pressures acting on the interior and outer free surfaces of the cylinder. The study is made by utilizing the version of the three-dimensional linearized theory of elastic waves in bodies with initial stresses for which the initial stress-strain state in bodies is determined within the scope of the classical linear theory of elasticity. For the solution to the corresponding eigenvalue problem, the discrete-analytical method is employed. Numerical results are presented and analyzed for concrete selected pairs of materials. According to these results and their analyses, it is established that, unlike homogeneous initial stresses, the influence of the inhomogeneous initial stresses on the torsional wave dispersion has not only quantitative but also qualitative character. For instance, in particular, it is established that as a result of the initial stresses caused by the hydrostatic pressure acting in the interior free surface of the cylinder, the cut-off frequency appears for the fundamental dispersive mode and the values of this frequency increase with the intensity of this pressure.

A Validation Method for Solution of Nonlinear Differential Equations: Construction of Exact Solutions Neighboring Approximate Solutions

  • Lee, Sang-Chul
    • International Journal of Aeronautical and Space Sciences
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    • 제3권2호
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    • pp.46-58
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    • 2002
  • An inverse method is introduced to construct benchmark problems for the numerical solution of initial value problems. Benchmark problems constructed through this method have a known exact solution, even though analytical solutions are generally not obtainable. The solution is constructed such that it lies near a given approximate numerical solution, and therefore the special case solution can be generated in a versatile and physically meaningful fashion and can serve as a benchmark problem to validate approximate solution methods. A smooth interpolation of the approximate solution is forced to exactly satisfy the differential equation by analytically deriving a small forcing function to absorb all of the errors in the interpolated approximate solution. A multi-variable orthogonal function expansion method and computer symbol manipulation are successfully used for this process. Using this special case exact solution, it is possible to directly investigate the relationship between global errors of a candidate numerical solution process and the associated tuning parameters for a given code and a given problem. Under the assumption that the original differential equation is well-posed with respect to the small perturbations, we thereby obtain valuable information about the optimal choice of the tuning parameters and the achievable accuracy of the numerical solution. Illustrative examples show the utility of this method not only for the ordinary differential equations (ODEs) but for the partial differential equations (PDEs).

오이장아찌 제조 중 산도, pH, 염도 및 관능적 품질변화에 관한 연구 (The Acidity, pH, Salt Content and Sensory Scores Change in Oyijangachi Manufacturing)

  • 정순택;이홍열;박현진
    • 한국식품영양과학회지
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    • 제24권4호
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    • pp.606-612
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    • 1995
  • Three different Oyijangachi(Kochujang, Doenjang and Ganjang) have been prepared by traditional method. Cucumbers have been dipped in six different solutions for 48 hrs. After dipping, the cucumbers have been aged in Kochujang, Doenjang and Ganjang for 30 days. The acidity, pH, salt content and sensory evaluation of the cucumbers which were treated by six different solutions has measured. Moisture content of fresh cucumber was 95%, and the moisture content of Kochujang, Doenjang and Ganjang of Oyijangachi was 66.78%, 76.94% and 81.33%, respectively, after 30 days of aging. Protein content fo Kochujang, Doenjang and Ganjang of Oyijangachi increased 57%, 258% and 197%, respectively, after 30 days of aging when they compared with fresh cucumber(control). Initial acidity of Oyijangachi of cucumbers which were treated with solution 1~5 at 0 day were between 0.49 and 0.56 and increased during aging. Initial acidity of Oyijangachi treated with solution 6 was 1.84 which was low because 1% of acetic acid was added and acidity increased during aging. The pH of Kochujang, Doenjang, and Ganjang of Oyijangachi decreased 4.37, 3.98 and 4.61, respectively, after 30 days aging. Salt content of Oyijangachi dipped in various salt solutions increased as the salt content of the solution increased. Salt content of three Oyijangachi increased drastically during 0~5 days of aging and slowly increase between 5~30 days of aging. The taste and smell of Kochujang Oyijangachi were highest as treated wih 12% NaCl solution(treatment 4) and the color was highest when the Oyijangachi was treated with solution 1. The taste, smell and color of Doenjang Oyijangachi were highest as treated with 12% NaCl solution plus CaCl2(treatment 5). It was observed that the firmness of Oyijangachi was generally higher as the cucumber treated.

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A New Solution for Projective Reconstruction Based on Coupled Line Cameras

  • Lee, Joo-Haeng
    • ETRI Journal
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    • 제35권5호
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    • pp.939-942
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    • 2013
  • We provide a new solution for the projective reconstruction problem based on coupled line cameras (CLCs) and their geometric properties. The proposed solution is composed of a series of optimized steps, and each step is more efficient than those of the initial solution proposed in [1]. We also give a new determinant condition for rectangle determination, which leads to less ambiguity in implementation. The key steps of the proposed solution can be represented with more compact analytic equations due to the intuitive geometric interpretations of the projective reconstruction problem based on CLCs: the center of projection corresponds to the intersection point of the two solution circles of each line camera involved.

전착법에서 용액특성이 지르코니아 막형성에 미치는 영향 (Effect of Slurry Property on Preparation of Zirconia Film in Electrophoretic Deposition)

  • 김상우;이병호;손용배;송휴섭
    • 한국세라믹학회지
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    • 제36권9호
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    • pp.991-996
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    • 1999
  • Effect of solution property on the weight varation and microstructural change of film was studied by electrophoretic deposition in order to obtain a homogeneous and dense zirconia film. As a result of weight kinetics of film which obtained in alcohol or aqueous solution having different polarity experimental data showed large deviation from theoretical ones calculated by Zhang's kinetic model. It had been shown that the weight affecting factors was largely dependent on properties other than dielectric constant and viscosity of solvent zeta potential appiled field and time. In initial stage a main factor of the drastic weight increase was the capillary drag of porous substrate. The cause of weight decrease with time in aqueous solution after 300 s was attributed to the defect of film by sagging and electrolytic reaction. The electrolyte film which prepared in alcohol solution with good wetting for substrate had better homogeneous and dense microstructure than one in aqueous solution with high surface tension.

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An Integer Programming-based Local Search for the Set Partitioning Problem

  • Hwang, Junha
    • 한국컴퓨터정보학회논문지
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    • 제20권9호
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    • pp.21-29
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    • 2015
  • The set partitioning problem is a well-known NP-hard combinatorial optimization problem, and it is formulated as an integer programming model. This paper proposes an Integer Programming-based Local Search for solving the set partitioning problem. The key point is to solve the set partitioning problem as the set covering problem. First, an initial solution is generated by a simple heuristic for the set covering problem, and then the solution is set as the current solution. Next, the following process is repeated. The original set covering problem is reduced based on the current solution, and the reduced problem is solved by Integer Programming which includes a specific element in the objective function to derive the solution for the set partitioning problem. Experimental results on a set of OR-Library instances show that the proposed algorithm outperforms pure integer programming as well as the existing heuristic algorithms both in solution quality and time.

변형 폴리올 공정에서 pH에 따라 합성된 Sn 나노입자의 형상 변화 및 형성기구 (Morphology and Formation Mechanism of Sn Nanoparticles Synthesized by Modified Polyol Process at Various pH Values)

  • 신용무;이종현
    • 한국재료학회지
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    • 제24권11호
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    • pp.578-584
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    • 2014
  • To synthesize Sn nanoparticles (NPs) less than 30 nm in diameter, a modified polyol process was conducted at room temperature using a reducing agent, and the effects of different pH values of the initial solutions on the morphology and size of the synthesized Sn NPs were analyzed. tin(II) 2-ethylhexanoate, diethylene glycol, sodium borohydride, polyvinyl pyrrolidone (PVP), and sodium hydroxide were used as a precursor, reaction medium, reducing agent, capping agent, and pH adjusting agent, respectively. It was found by transmission electron microscopy that the morphology of the synthesized Sn NPs varied according to the pH of the initial solution. Moreover, while the size decreased to 11.32 nm with an increase up to 11.66 of the pH value, the size increased rapidly to 39.25 nm with an increase to 12.69. The pH increase up to 11.66 dominantly promoted generation of electrons and increased the amount of initial nucleation in the solution, finally inducing the reduced-size of the Sn particles. However, the additional increase of pH dominantly induced a decrease of PVP by neutralization, which resulted in acceleration of the agglomeration by collisions between particles.

알루미늄염에 의한 인 제거 시 pH와 초기 인 농도의 영향 (Effect of pH and Initial Phosphorus Concentration on Phosphorus Removal by Aluminum Salts)

  • 박정원;곽효은;민소진;정형근;박병규
    • 상하수도학회지
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    • 제30권2호
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    • pp.123-130
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    • 2016
  • Phosphorus (P) removal by aluminum sulfate solution was investigated with varying pH and initial P concentrations. P removal was the highest at around pH 6. The pH range where P removal occurred was slightly wider at higher initial P concentrations. Compared to theoretical calculations, it was confirmed that $AlPO_4$ precipitation was the main reason for P removal at low pH. At high pH, where there should be no $AlPO_4$ precipitates, the P removal by adsorption of amorphous $Al(OH)_3$ precipitates was experimentally observed. The P removal by adding amorphous $Al(OH)_3$ precipitates prepared before the adsorption experiments, however, was lower than that by injecting aluminum sulfate solution because the prepared precipitates became larger, leading to less specific surface area available for adsorption. Ions other than sulfate had little influence on P removal.

Effects of dead loads on dynamic analyses of beams subject to moving loads

  • Takabatake, Hideo
    • Earthquakes and Structures
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    • 제5권5호
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    • pp.589-605
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    • 2013
  • The effect of dead loads on dynamic responses of a uniform elastic beam subjected to moving loads is examined by means of a governing equation which takes into account initial bending stresses due to dead loads. First, the governing equation of beams which includes the effect of dead loads is briefly presented from the author's paper (1990, 1991, 2010). The effect of dead loads is considered by a strain energy produced by conservative initial stresses caused by the dead loads. Second, the effect of dead loads on dynamical responses produced by moving loads in simply supported beams is confirmed by the results of numerical computations using the Galerkin method and Wilson-${\theta}$ method. It is shown that the dynamical responses by moving loads are decreased remarkably on a heavyweight beam when the effect of dead loads is included. Third, an approximate solution of dynamic deflections including the effect of dead loads for a uniform beam subjected to moving loads is presented in a closed-form for the case without the additional mass due to moving loads. The proposed solution shows a good agreement with results of numerical computations with the Galerkin method and Wilson-${\theta}$ method. Finally it is clarified that the effect of dead loads on elastic uniform beams subjected to moving loads acts on the restraint of the transverse vibration for the both cases without and with the additional mass due to moving loads.