• 제목/요약/키워드: separate solution method

검색결과 136건 처리시간 0.024초

Separate Reconstruction of Speed of Sound, Density, and Absorption Parameters in Ultrasound Inverse Scattering Tomography

  • Kwon, Sung-Jae
    • The Journal of the Acoustical Society of Korea
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    • 제18권2E호
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    • pp.18-23
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    • 1999
  • This paper proposes a method of separately determining three intrinsic mechanical parameters of an unknown object in the framework of ultrasound inverse scattering tomography. Those parameters are the speed of sound, density, and absorption whose values are given as the solution of an inhomogeneous Helmholtz wave equation. The separate reconstruction method is mathematically formulated, the integral equations are discretized using the sinc basis functions, and the Newton-Raphson method is adopted as a numerical solver in a measurement configuration where the object is insonified by an incident plane wave over 360˚ and the scattered field is measured by detectors arranged in a rectangular fashion around it. Two distinct frequencies are used to separate each parameter of three Gaussian objects that are either located at the same position or separately from each other. Computer simulation results show that the separate reconstruction method is able to separately reconstruct the three mechanical parameters. The absorption parameter turns out to be a little difficult to reconstruct as compared with the other two parameters.

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Analysis of discontinuous contact problem in two functionally graded layers resting on a rigid plane by using finite element method

  • Polat, Alper;Kaya, Yusuf
    • Computers and Concrete
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    • 제29권4호
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    • pp.247-253
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    • 2022
  • In this study, the problem of discontinuous contact in two functionally graded (FG) layers resting on a rigid plane and loaded by two rigid blocks is solved by the finite element method (FEM). Separate analyzes are made for the cases where the top surfaces of the problem layers are metal, the bottom surfaces are ceramic and the top surfaces are ceramic and the bottom surfaces are metal. For the problem, it is accepted that all surfaces are frictionless. A two-dimensional FEM analysis of the problem is made by using a special macro added to the ANSYS package program The solution of this study, which has no analytical solution in the literature, is given with FEM. Analyzes are made by loading different Q and P loads on the blocks. The normal stress (σy) distributions at the interfaces of FG layers and between the substrate and the rigid plane interface are obtained. In addition, the starting and ending points of the separations between these surfaces are determined. The normal stresses (σx, σy) and shear stresses (τxy) at the point of separation are obtained along the depth. The results obtained are shown in graphics and tables. With this method, effective results are obtained in a very short time. In addition, analytically complex and long problems can be solved with this method.

수정된 선형계획법을 이용한 다물체 탄성 접촉 문제 해석 (Multibody Elastic Contact Analysis by Modified Linear Programming)

  • 이대희;전범준;최동훈;임장근;윤갑영
    • 대한기계학회논문집
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    • 제13권1호
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    • pp.1-8
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    • 1989
  • 본 연구에서는 마찰을 무시할 수 있는 경우의 일반적인 다물체 탄성 접촉 문제를 수식화하고 이를 최적화 문제로 변환한 후 수정된 선형 계획법을 이용하여 임의 형상의 다물체간의 접촉 문제를 해석할 수 있는 산법을 제시하였다.

Inviscid Rotational Flows Near a Corner and Within a Triangle

  • Suh, Yong-Kweon
    • Journal of Mechanical Science and Technology
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    • 제15권6호
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    • pp.813-820
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    • 2001
  • Solutions of inviscid rotational flows near the corners of an arbitrary angle and within a triangle of arbitrary shapes are presented. The corner-flow solutions has a rotational component as a particular solution. The addition of irrotatoinal components yields a general solution, which is indeterminate unless the far-field condition is imposed. When the corner angle is less than 90$^{\circ}$the flow asymptotically becomes rotational. For the corner angle larger than 90$^{\circ}$it tends to become irrotational. The general solution for the corner flow is then applied to rotational flows within a triangle (Method I). The error level depends on the geometry, and a parameter space is presented by which we can estimate the error level of solutions. On the other hand, Method II employing three separate coordinate systems is developed. The error level given by Method II is moderate but less dependent on the geometry.

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중성운반체를 이용한 리튬이온 선택 전극 (Lithium Ion Selective Electrode Based on a Synthetic Neutural Carrier)

  • 김재상
    • 분석과학
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    • 제5권1호
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    • pp.33-39
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    • 1992
  • 리튬이온의 새로운 중성운반체로서 tetrahydrofuran 단위의 16고리형 crown-4를 퓨란과 아세톤으로부터 산 촉매하에서 합성하여 수소화시킨 후 리튬-이온과의 착물형성반응을 Li-7 NMR과 전기전도도법으로 조사했다. 합성한 리간드를 PVC-액체막 전극에 사용하여 분리용액법에 의한 리튬이온의 선택성을 결정하였다. 막용매, tris(2-ethylhexyl) phosphate에서 리튬이온의 선택계수는 알칼리금속이온 및 알칼리토금속이온에 대해 $2.4{\times}10^{-1}$에서 $2.3{\times}10^{-4}$ 범위의 값을 가졌으며, 산성용액(pH=2 이하, 0.1M LiCl)에서 액체막은 $H^+$ 이온의 방해로 불안정하였다.

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MoO3 침출공정 폐액으로부터 동분말의 회수기술 (Recovery of Copper Powder from MoO3 Leaching Solution)

  • 홍현선;정항철;김건홍;공만식
    • 한국분말재료학회지
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    • 제16권5호
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    • pp.351-357
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    • 2009
  • A two-step recovery method was developed to produce copper powders from copper chloride waste solution as byproducts of MoO$_3$ leaching process. The first step consisted of replacing noble copper ions with external Fe$^{3+}$ ions which were formed by dissolving iron scraps in the copper chloride waste solution. The replaced copper ions were subsequently precipitated as copper powders. The second step was cementation of entire solution mixture to separate (pure) copper powders from aqueous solution of iron chloride. Cementation process variables of temperature, time, and added amount of iron scraps were optimized by using design of experiment method and individual effects on yield and efficiency of copper powder recovery were investigated. Copper powders thus obtained from cementation process were further characterized using various analytical tools such as XRD, SEM-EDS and laser diffraction and scattering methods.Cementation process necessitated further purification of recovered copper powders and centrifugal separation method was employed, which successfully yielded copper powders of more than 99% purity and average 1$\sim$2$\mu$m in size.

Development of Visible-light Responsive $TiO_2$ Thin Film Photocatalysts by Magnetron Sputtering Method and Their Applications as Green Chemistry Materials

  • Matsuoka, Masaya
    • 한국재료학회:학술대회논문집
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    • 한국재료학회 2010년도 춘계학술발표대회
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    • pp.3.1-3.1
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    • 2010
  • Water splitting reaction using photocatalysts is of great interest in the utilization of solar energy [1]. In the present work, visible light-responsive $TiO_2$ thin films (Vis-$TiO_2$) were prepared by a radio frequency magnetron sputtering (RF-MS) deposition method and applied for the separate evolution of $H_2$ and $O_2$ from water as well as the photofuel cell. Special attentions will be focused on the effect of HF treatment of Vis-$TiO_2$ thin films on their photocatalytic activities. Vis-$TiO_2$ thin films were prepared by an RF-MS method using a calcined $TiO_2$ plate and Ar as the sputtering gas. The Vis-$TiO_2$ thin films were then deposited on the Ti foil substrate with the substrate temperature at 873 K (Vis-$TiO_2$/Ti). Vis-$TiO_2$/Ti thin films were immersed in a 0.045 vol% HF solution at room temperature. The effect of HF treatments on the activity of Vis-$TiO_2$/Ti thin films for the photocatalytic water splitting reaction have been investigated. Vis-$TiO_2$/Ti thin films treated with HF solution (HF-Vis-$TiO_2$/Ti) exhibited remarkable enhancement in the photocatalytic activity for $H_2$ evolution from a methanol aqueous solution as well as in the photoelectrochemical performance under visible light irradiation as compared with the untreated Vis-$TiO_2$/Ti thin films. Moreover, Pt-loaded HF-Vis-$TiO_2$/Ti thin films act as efficient and stable photocatalysts for the separate evolution of $H_2$ and $O_2$ from water under visible light irradiation in the presence of chemical bias. Thus, HF treatment was found to be an effective way to improve the photocatalytic activity of Vis-$TiO_2$/Ti thin films. Furthermore, unique separate type photofuel cell was fabricated using a Vis-$TiO_2$ thin film as an electrode, which can generate electrical power under solar light irradiation by using various kinds of biomass derivatives as fuel. It was found that the introduction of an iodine ($I^-/{I_3}^-$) redox solution at the cathode side enables the development of a highly efficient photofuel cell which can utilize a cost-efficient carbon electrode as an alternative to the Pt cathode.

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원자발광광도법에 의한 란탄족 원소의 정밀분석에 관한 연구 (제 1 보) 희토류-EDTA 용리액에 의한 희토류 원소의 분리 회수 (Study on the Precision Analysis of Lanthanides by Atomic Emission Spectroscopy (I). Separation of Rare Earth Elements Using Ln-EDTA Eluent)

  • 차기원;오진희;하영구;김하석
    • 대한화학회지
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    • 제36권5호
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    • pp.692-696
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    • 1992
  • $NH_4^+형 양이온 교환수지와 희토류-EDTA 용리액을 사용하여 희토류 원소 혼합물에서 원하는 한 원소를 분리 회수하는 연구를 하였다. NH_4^+형 양이온 교환수지에 희토류 혼합물을 흡착시키고, La-EDTA 용액으로 용리하면 수지에 흡착된 희토류 원소중 La^{3+} 이온 외의 희토류 원소는 용리된다. 수지에 남아있는 La^{3+}은 EDTA 용리액으로 용리하여 분리한다. Ce^{4+}만 선택적으로 분리하고자 할때는 La-EDTA 대신 Ce-EDTA로 용리하고 수지에 남은 Ce^{4+}을 EDTA로 용리하면 된다. 이때 분리 구조는 다음과 같다. 흡착과정 : 3RNH_4 + Ln^{3+} = R_3Ln + 3NH^{4+}, La-EDTA 용리 : R_3Ln + La-Y- = R_3La + Ln-Y^-, EDTA 용리 : R_3La + HY^3- = La-Y + RH + 2R-.$

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Application of Solvent Extraction to the Treatment of Industrial Wastes

  • Shibata, Junji;Yamamoto, Hideki
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2001년도 The 6th International Symposium of East Asian Resources Recycling Technology
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    • pp.259-263
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    • 2001
  • There are several steps such as slicing, lapping, chemical etching and mechanical polishing in the silicon wafer production process. The chemical etching step is necessary to remove damaged layer caused In the slicing and lapping steps. The typical etching liquor is the acid mixture comprising nitric acid, acetic acid and hydrofluoric acid. At present, the waste acid is treated by a neutralization method with a high alkali cost and balky solid residue. A solvent extraction method is applicable to separate and recover each acid. Acetic acid is first separated from the waste liquor using 2-ethlyhexyl alcohols as an extractant. Then, nitric acid is recovered using TBP(Tri-butyl phosphate) as an extractant. Finally hydrofluoric acid is separated with the TBP solvent extraction. The expected recovered acids in this process are 2㏖/l acetic acid, 6㏖/1 nitric acid and 6㏖/l hydrofluoric acid. The yields of this process are almost 100% for acetic acid and nitric acid. On the other hand, it is important to recover and reuse the metal values contained in various industrial wastes in a viewpoint of environmental preservation. Most of industrial products are made through the processes to separate impurities in raw materials, solid and liquid wastes being necessarily discharged as industrial wastes. Chemical methods such as solvent extraction, ion exchange and membrane, and physical methods such as heavy media separation, magnetic separation and electrostatic separation are considered as the methods for separation and recovery of the metal values from the wastes. Some examples of the application of solvent extraction to the treatment of wastes such as Ni-Co alloy scrap, Sm-Co alloy scrap, fly ash and flue dust, and liquid wastes such as plating solution, the rinse solution, etching solution and pickling solution are introduced.

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SPARSE GRID STOCHASTIC COLLOCATION METHOD FOR STOCHASTIC BURGERS EQUATION

  • Lee, Hyung-Chun;Nam, Yun
    • 대한수학회지
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    • 제54권1호
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    • pp.193-213
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    • 2017
  • We investigate an efficient approximation of solution to stochastic Burgers equation driven by an additive space-time noise. We discuss existence and uniqueness of a solution through the Orstein-Uhlenbeck (OU) process. To approximate the OU process, we introduce the Karhunen-$Lo{\grave{e}}ve$ expansion, and sparse grid stochastic collocation method. About spatial discretization of Burgers equation, two separate finite element approximations are presented: the conventional Galerkin method and Galerkin-conservation method. Numerical experiments are provided to demonstrate the efficacy of schemes mentioned above.