• Title/Summary/Keyword: Exchange equation

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Effects of Particle Size and Temperature on the Ammonium Ion Exchange by Natural Zeolite (천연제올라이트의 암모늄이온교환에 미치는 입자 크기 및 온도영향에 관한 연구)

  • Song, Chang Soo;Kim, Hee Jun;Chung, Tai Hak
    • Journal of Korean Society of Water and Wastewater
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    • v.12 no.3
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    • pp.75-80
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    • 1998
  • Ammonium ion is notorious for the adverse effects upon many of the important uses of water such as toxcity to fish, corrosion of metals and concrete, and concern over man's consumption. A clinoptilolite, which is a naturally occurring zeolite selective for ammonium ion exchange, has been used. Batch isotherm experiments were conducted for measuring ammonium ion exchange capacity. The ion exchange capacity was well described either by the Langmuir equation or by the Freundlich equation. As the particle size of the clinoptilolite decreased, exchange capacity was increased. The smaller particle size enhaced the exchange of ammonium ion due to the greater surface area and decreased diffusion to the exchange sites within the zeolite. Ammonium ion exchange capacity tended to decrease when the temperature increased from $20^{\circ}C$ to $35^{\circ}C$, and the temperature correction factor was found to be 0.98 in the Langmuir equation.

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The Calculation of Seawater Exchange Rate in a Port by Numerical Analysis (수치해석을 이용한 항만의 해수교환율 산정)

  • Kim, Hyung-Jun;Kang, Gyu-Young;Cho, Yong-Sik
    • 한국방재학회:학술대회논문집
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    • 2008.02a
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    • pp.237-240
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    • 2008
  • Numerical Analysis for exchanging seawater experiment is carried out in Do-Jang fish port. The change of tidal velocity and water level is derived by the two-dimensional nonlinear shallow-water numerical model. To calculate exchange rate of seawater with the change of tidal velocity and water level, a two-dimensional numerical model is employed which governing equations are Fokker-Plank equations. The calculated exchange rates of each time are described in tables and figures.

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Application of Exchange Equations for NH4-K NH4-Ca Equilibria (NH4-K 와 NH4-Ca 평형에 대한 양이온 치환식의 적용)

  • Chung, Jong-Bae;Sa, Tong-Min
    • Korean Journal of Soil Science and Fertilizer
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    • v.28 no.3
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    • pp.218-226
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    • 1995
  • Ion exchange equilibria in bulk and rhizosphere soil collected from peach seedlings were studied to find exchange equations that could be used in chromatographic models dealing with movement and distribution of fertilizer ammonium and exchangeable cations in soil profiles. Soil samples were equilibrated with mixtures of $NH_4Cl$, KCI, and $CaCl_2$ solutions and then extracted with $Sr(NO_3)_2$ solution to determine exchangeable cation compositions at equilibrium. Exchange data were fitted to Vanselow's, Gapon's, and Kerr's equations, but those formulations did not adequately describe the equilibria. An empirical equation of the form : ${\frac{\alpha_i^m}{a_j^n}}=K{\frac{(iX)^{mPi}}{(jX)^{nPj}}}$ which has an exponent on each of the exchangeable cation concentrations could describe the equilibria very well over the range of treatments. In this equation ${\alpha}^i$ and ${\alpha}^j$ are activities of cation i and j with valences m and n respectively. (iX) and (jX) are concentrations of exchangeable cations. Mole or equivalent fractions can be considered as the exchangeable ion concentration unit. Arbitrary constants $P_i$ and $P_j$, and distribution coefficient K can be found with multiple regression for the logarithmic form of the equation.

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Effects on the Fishing Industry of Changes in Foreign Exchange Rates;-The Pass-Through of Exchange Rate Changes to Export Price- (환율변동이 수산업에 미치는 영향;-수출가격에의 전가도를 중심으로-)

  • 박영병;어윤양
    • The Journal of Fisheries Business Administration
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    • v.26 no.2
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    • pp.75-92
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    • 1995
  • This paper tried to estimate the pass - through of exchange rate changes to export price of fishery products using export price function. The results are as follows : 1) The variable of fluctuation of exchange rate of Won(equation omitted) to Yen(equation omitted)(variable E2) is more powerful explanatory variable than that of Won to U.S. dollar to explain the fluctiation of export price of fishery products(varible $P_{t}$)- 2) The variable of fish catches(variable K $P_{t}$) is also found to be a statistically significant varible but that of producer price index is not found. 3) The variable E2 have statistically a more influence on variable $P_{t}$ than variable K $P_{t.}$ 4) The estimation shows us that 1% of fluctuation of variable E2 could result in 0.9978% of fluctuation of variable $P_{t.}$

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An Application of the Optimal Routing Algorithm for Radial Power System using Improved Branch Exchange Technique (개선된 선로교환 기법을 이용한 방사상 전력계통의 최적 라우팅 알고리즘의 적용)

  • Kim, Byeong-Seop;Sin, Jung-Rin;Park, Jong-Bae
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.51 no.6
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    • pp.302-310
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    • 2002
  • This paper presents an application of a improved branch exchange (IBE) algorithm with a tie branch power (TBP) flow equation to solve the Optimal Routing problem for operation of a radial Power system including power distribution system. The main objective of the Optimal Routing problem usually is to minimize the network real power loss and to improve the voltage profile in the network. The new BE algorithm adopts newly designed methods which are composed by decision method of maximum loss reduction and new index of loss exchange in loop network Thus, the proposed algorithm in this paper can search the optimal topological structures of distribution feeders by changing the open/closed states of the sectionalizing and tie switches. The proposed algorithm has been evaluated with the practical IEEE 32, 69 bus test systems and KEPCO 148 bus test system to show favorable performance gained.

Impacts of the Real Effective Exchange Rate and the Government Deficit on Aggregate Output in Australia

  • Hsing, Yu
    • The Journal of Asian Finance, Economics and Business
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    • v.4 no.1
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    • pp.19-23
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    • 2017
  • Based on a simultaneous-equation model consisting of aggregate demand and short-run aggregate supply, this paper estimates a reduced-form equation specifying that the equilibrium real GDP is a function of the real effective exchange rate, the government deficit as a percent of GDP, the real interest rate, foreign income, labor productivity, the real oil price, the expected inflation rate, and the interactive and intercept binary variables accounting for a potential change in the slope of the real effective exchange rate and shift in the intercept. Applying the exponential GARCH technique, it finds that aggregate output in Australia has a positive relationship with the real effective exchange rate during 2003.Q3 - 2013.Q2, the government deficit as a percent of GDP, U.S. real GDP, labor productivity and the real oil price and a negative relationship with the real effective exchange rate during 2013.Q3 - 2016.Q1, the real lending rate and the expected inflation rate. These results suggest that real appreciation was expansionary before 2013.Q3 whereas real depreciation was expansionary after 2013.Q2 and that more government deficit as a percent of GDP would be helpful to stimulate the economy. Hence, the impact of real appreciation or real depreciation on real GDP may change overtime.

Performance Evaluation of Chloride and Sulfate Removal using Anion Exchange Resin in Saturated Ca(OH)2 Solutions (음이온 교환수지를 이용한 포화 수산화칼슘 수용액 내 염소이온 및 황산이온 제거 특성 평가)

  • Lee, Yun-Su;Chen, Zheng-Xin;Lee, Han-Seung
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.21 no.2
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    • pp.146-154
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    • 2017
  • Recently, self-healing concrete has been researched as maintenance and repair of concrete structures are important challenges we face. This paper focused on possibility of ion exchange resin as a novelty material directly and actively controlling harmful ions of concrete, whereas most self-healing concrete researches have been focused on methods to automatically filling and repairing internal crack of concrete. Because equilibrium properties between ion exchange resin and harmful ion is important before design of cement mixing proportion, it was conducted to remove chloride or sulfate in saturated $Ca(OH)_2$ solutions containing NaCl or $Na_2SO_4$. The removal performance was analyzed using kinetic equation and isothermal equation. Consequently, the removal properties of anion exchange resin were relatively more dependent on pseudo second reaction equation and Langmuir equation than pseudo first reaction equation and Freundlich equation. And it was concluded that each chloride and sulfate can be removed to the maximum 1068 ppm and 1314 ppm.

Analysis of Discharge Characteristics for the Seawater Exchange Breakwater Composed of Tunneled Breakwater and Submerged Mound (잠제가 설치된 유공형 해수교환방파제의 도수량 특성 분석)

  • Jeong, Shin-Taek;Lee, Dal-Soo;Cho, Hong-Yeon;Oh, Young-Min
    • Ocean and Polar Research
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    • v.26 no.3
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    • pp.465-473
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    • 2004
  • Five parameters such as the entrance size of the front wall, conduit size, wave period, wave height and the width of water pool were selected to estimate the inflow rate, which is basic and essential input data to design seawater exchange breakwater with a submerged mound by conducting hydraulic model experiments. In the results of multiple regression analysis, log-log equation showed a good agreement rather than linear equation and the estimation of inflow rate was well done with only two parameters except entrance size of the front wall, wave period and the width of water pool. Finally, non-dimensional flow rate equation is derived.

THE PRICING OF VULNERABLE FOREIGN EXCHANGE OPTIONS UNDER A MULTISCALE STOCHASTIC VOLATILITY MODEL

  • MIJIN HA;DONGHYUN KIM;JI-HUN YOON
    • Journal of applied mathematics & informatics
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    • v.41 no.1
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    • pp.33-50
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    • 2023
  • Foreign exchange options are derivative financial instruments that can exchange one currency for another at a prescribed exchange rate on a specified date. In this study, we examine the analytic formulas for vulnerable foreign exchange options based on multi-scale stochastic volatility driven by two diffusion processes: a fast mean-reverting process and a slow mean-reverting process. In particular, we take advantage of the asymptotic analysis and the technique of the Mellin transform on the partial differential equation (PDE) with respect to the option price, to derive approximated prices that are combined with a leading order price and two correction term prices. To verify the price accuracy of the approximated solutions, we utilize the Monte Carlo method. Furthermore, in the numerical experiments, we investigate the behaviors of the vulnerable foreign exchange options prices in terms of model parameters and the sensitivities of the stochastic volatility factors to the option price.

Derivation of the refractive index profile equation of K-Na ion-exchange waveguide by a rapid thermal method (급열법에 의한 K-Na 이온교환 도파로의 굴절율 분포식산출)

  • 강승민
    • Proceedings of the Optical Society of Korea Conference
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    • 1990.02a
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    • pp.237-241
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    • 1990
  • A detailed theoretical and experimental study of k-na exchange in soda lime silicate glasses by RTP is presented. Concentration profiles i.e. index profiles are given by complementary error function added Gaussian function. The estimated diffusion coefficient is 1.54${\mu}{\textrm}{m}$2/min.

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