• 제목/요약/키워드: Two-step solution

검색결과 493건 처리시간 0.026초

수용액 합성법의 2단계 성장온도 변화를 통한 ZnO 결정의 선택적 용해 현상 (Selective Dissolution of ZnO Crystal by a Two-step Thermal Aging in Aqueous Solution)

  • 김정석;채기웅
    • 한국세라믹학회지
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    • 제48권4호
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    • pp.263-268
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    • 2011
  • ZnO hexagonal rods grown in aqueous solution can be changed into a tubular shape by two-step aging in the course of the growing process. In the first step, hexagonal ZnO rods is grown by aging at $90^{\circ}C$ under a highly supersaturated aqueous solution giving rise to a fast precipitation rate. Meanwhile, during the second step aging at $60^{\circ}C$ in the same aqueous solution, the hexagonal polar face (001) having higher surface energy than (010) side planes dissolves to minimize surface energy. Hence the flat (001) face changes to a craterlike face and the hexagonal rod length of ZnO decreases at an initial-stage of this step aging. The formation of the (101) wedge-type faces is ascribed to the resultant of competitive reactions between the dissolution of polar face minimizing the surface energy which is a dominant reaction at the initial stage and the precipitation reaction dissipating supersaturation. At a later stage of the second-step the reaction rates of these two processes in the aqueous solution become similar and the overall reaction is terminated.

면섬유에 Methyl Methacrylate의 그라프트중합 - 이단계 그라프트중합과 유화 그라프트중합의 비교 - (Graft Polymerization of Methyl Methacrylate onto Cotton Fiber -Comparison of two step graft polymerization and emulsion graft polymerization-)

  • 배현숙;김성련
    • 한국의류학회지
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    • 제13권1호
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    • pp.89-97
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    • 1989
  • Graft polymerization of MMA onto cotton fiber was carried out in two ways, two step graft polymerization and one step emulsion graft polymerization, using tetravalent cerium ion as an initiator. At two step graft polymerization, the first step was the pretreatment of cotton fiber with an aqueous initiator solution and the second was the grafting pretreated cotton fiber in the monomer solution. In case of one step emulsion graft polymerization, MMA was emulsified with SLS in initiator solution. Under the various graft polymerization conditions, graft yield, graft efficiency and from the Arrhenius plot the apparent activation energy were compared. The results of this study were as follows: 1. Graft yield and graft efficiency of emulsion graft polymerization were higher than those of two step graft polymerization. 2. In case of two step graft polymerization, graft yield was affected by the pretreatment time of cotton fiber with an aqueous initiator solution. And graft yield of emulsion graft polymerization was increased with the concentration of emulsifier below cmc of SLS and was decreased thereafter. 3. Elevation of temperature resulted increase in graft yield for both grafting methods. The apparent activation energy of emulsion graft pelymerzation was lower than that of two step graft polymerization. 4. Increased reaction time increased in graft yield, but decreased in graft efficiency. 5. Moisture regain of grafted cotton was decreased with graft yield.

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Application of Hyperbolic Two-fluids Equations to Reactor Safety Code

  • Hogon Lim;Lee, Unchul;Kim, Kyungdoo;Lee, Won-Jae
    • Nuclear Engineering and Technology
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    • 제35권1호
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    • pp.45-54
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    • 2003
  • A hyperbolic two-phase, two-fluid equation system developed in the previous work has been implemented in an existing nuclear safety analysis code, MARS. Although the implicit treatment of interfacial pressure force term introduced in momentum equation of the hyperbolic equation system is required to enhance the numerical stability, it is very difficult to implement in the code because it is not possible to maintain the existing numerical solution structure. As an alternative, two-step approach with stabilizer momentum equations has been selected. The results of a linear stability analysis by Von-Neumann method show the equivalent stability improvement with fully-implicit solution method. To illustrate the applicability, the new solution scheme has been implemented into the best-estimate thermal-hydraulic analysis code, MARS. This paper also includes the comparisons of the simulation results for the perturbation propagation and water faucet problems using both two-step method and the original solution scheme.

Al6Si2Cu 알루미늄 합금의 기계적 물성 향상을 위한 이단계 고용화 열처리 (Two-step Solution Treatment for Enhancement of Mechanical Properties of AlSiCu Aluminum Alloy)

  • 박상규;김정석
    • 열처리공학회지
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    • 제31권3호
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    • pp.97-103
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    • 2018
  • The objective of this study is to develop the mechanical properties of AlSiCu aluminum alloy by the two-step solution heat treatment. The microstructure of gravity casting specimen represents a typical dendrite structure having a secondary dendrite arm spacing (SDAS) of 40 mm. In addition to the Al matrix, a large amount of coarsen eutectic Si phase, $Al_2Cu$ intermetallic phase, and Fe-rich phases are generated. The eutectic Si phases are fragmented and globularized with solution heat treatment. Also, the $Al_2Cu$ intermetallic phase is resolutionized into the Al matrix. The $2^{nd}$ solution temperature at $525^{\circ}C$ might be a optimum condition for enhancement of mechanical properties of AlSiCu aluminum alloy.

목표계획법 초기해의 새로운 절차에 관한 연구 (A New Procedure for the Initial Solution of Goal Programming)

  • 박승헌;최재봉
    • 한국경영과학회지
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    • 제19권1호
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    • pp.113-122
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    • 1994
  • This study proposes a new procedure to find an initial solution to reduce the number of iterations of goal programming. The process of computing an initial solution is divided into two steps in this study. Decision variables which satisfy feasibility using Gaussian eliminations construct an initial solution reducing the iterations in the first step. It uses LHS as a tool that decision variables construct an initial solution. The initial solution which is constructed by the first step computes the updated coefficient of the objective function in the second step. If the solution does not satisfy the optimality, the optimal solution using the Modified Simplex Method is sought. The developed method doesn't reduce the overall computing time of goal programming problems, because time is more required for the process of constructing an initial solution. But The result of this study shows that the proposed procedure can reduce the large number of iterations in the first step effectively.

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2단 흐름형 침출공정에 의한 돼지감자 줄기의 전처리 (Pretreatment of Helianthus tuberosus Residue by Two-Stage Flow Through Process)

  • 박용철;김준석
    • Korean Chemical Engineering Research
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    • 제53권4호
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    • pp.417-424
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    • 2015
  • 본 연구에서는 목질계 바이오매스인 돼지감자 줄기에 대한 전처리 공정을 수행하였다. 공정은 효소 당화 수율을 높이기 위하여 흐름형 침출 전처리 공정에 2단 전처리 공정으로 적용하였다. 전처리 용매로 암모니아수에 의한 탈 리그닌 효과와 황산 용액에 의한 헤미셀룰로오스의 분해가 효소당화 및 발효에 미치는 영향을 확인하였다. 암모니아수와 황산용액을 이용한 2단 전처리 공정을 수행하였다. 먼저 1단계 공정은 40분 동안 $163.2^{\circ}C$의 온도에서 암모니아수로 처리를 진행하였고 다음 2단계 공정은 $169.7^{\circ}C$에서 20분 동안 황산 용액으로 처리를 수행하여 물질수지를 구하였다. 그리고 앞의 공정과 반대의 순서로 황산 용액을 먼저 처리한 후 암모니아수를 처리한 2단 전처리 공정을 수행하였다. 이때 암모니아수를 먼저 처리한 공정에서 글루코오스 생산량은 30.7 g으로 72.4%의 수율이 나타났다. 반대로 황산 용액을 먼저 처리한 후 암모니아수를 처리한 2단 전처리 공정에서는 글루코오스 생산량이 20.9 g으로 49.3%의 수율을 보였다.

A two-step method for the optimum design of trusses with commercially available sections

  • Oral, Suha;Uz, Atilla
    • Structural Engineering and Mechanics
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    • 제5권1호
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    • pp.59-68
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    • 1997
  • A two-step method is presented for the optimum design of trusses with available sections under stress and Euler buckling constraints. The shape design of the truss is used as a means to convert the discrete solution into a continuous one. In the first step of the method, a continuous solution is obtained by sizing and shape design using an approximate polynomial expression for the buckling coefficients. In the second step, the member sizes obtained are changed to the nearest available sections and the truss is reconfigured by using the exact values for the buckling coefficients. The optimizer used is based on the sequential quadratic programming and the gradients are evaluated in closed form. The method is illustrated by two numerical examples.

자동차용 Al-6Si-2Cu 합금의 용체화처리에 따른 미세조직 및 기계적 특성 변화 (Microstructure and Mechanical Properties on Solid Solution Heat Treatment of Al-6Si-2Cu Alloy for Lightweight Automotive)

  • 홍승표;김정석
    • 한국재료학회지
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    • 제24권10호
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    • pp.538-542
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    • 2014
  • Microstructural and mechanical characteristics of Al-6Si-2Cu alloy for lightweight automotive parts were investigated. The test specimens were prepared by gravity casting process. Solution heat treatments were applied to as-cast alloys to improve mechanical properties. The microstructure of the gravity casting specimen presents a typical dendrite structure, having a secondary dendrite arm spacing (SDAS) of $37{\mu}m$. In addition to the Al matrix, a large amount of coarsened eutectic Si, $Al_2Cu$ intermetallic phase, and Fe-rich phases were identified. After solution heat treatment, single-step solution heat treatments were found to considerably improve the spheroidization of the eutectic Si phase. Two-step solution treatments gave rise to a much improved spheroidization. The mechanical properties of the two-step solution heat treated alloy have been shown to lead to higher values of properties such as tensile strength and microhardness. Consequentially, the microstructural and mechanical characteristics of Al alloy have been successfully characterized and are available for use with other basic data for the development of lightweight automotive parts.

ON THE CONVERGENCE OF INEXACT TWO-STEP NEWTON-TYPE METHODS USING RECURRENT FUNCTIONS

  • Argyros, Ioannis K.;Hilou, Said
    • East Asian mathematical journal
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    • 제27권3호
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    • pp.319-337
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    • 2011
  • We approximate a locally unique solution of a nonlinear equation in a Banach space setting using an inexact two-step Newton-type method. It turn out that under our new idea of recurrent functions, our semilocal analysis provides tighter error bounds than before, and in many interesting cases, weaker sufficient convergence conditions. Applications including the solution of nonlinear Chandrasekhar-type integral equations appearing in radiative transfer and two point boundary value problems are also provided in this study.

An Error Embedded Runge-Kutta Method for Initial Value Problems

  • Bu, Sunyoung;Jung, WonKyu;Kim, Philsu
    • Kyungpook Mathematical Journal
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    • 제56권2호
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    • pp.311-327
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    • 2016
  • In this paper, we propose an error embedded Runge-Kutta method to improve the traditional embedded Runge-Kutta method. The proposed scheme can be applied into most explicit embedded Runge-Kutta methods. At each integration step, the proposed method is comprised of two equations for the solution and the error, respectively. These solution and error are obtained by solving an initial value problem whose solution has the information of the error at each integration step. The constructed algorithm controls both the error and the time step size simultaneously and possesses a good performance in the computational cost compared to the original method. For the assessment of the effectiveness, the van der Pol equation and another one having a difficulty for the global error control are numerically solved. Finally, a two-body Kepler problem is also used to assess the efficiency of the proposed algorithm.