• 제목/요약/키워드: matrix diffusion

검색결과 323건 처리시간 0.024초

Modeling radon diffusion equation in soil pore matrix by using uncertainty based orthogonal polynomials in Galerkin's method

  • Rao, T.D.;Chakraverty, S.
    • Coupled systems mechanics
    • /
    • 제6권4호
    • /
    • pp.487-499
    • /
    • 2017
  • This paper investigates the approximate solution bounds of radon diffusion equation in soil pore matrix coupled with uncertainty. These problems have been modeled by few researchers by considering the parameters as crisp, which may not give the correct essence of the uncertainty. Here, the interval uncertainties are handled by parametric form and solution of the relevant uncertain diffusion equation is found by using Galerkin's Method. The shape functions are taken as the linear combination of orthogonal polynomials which are generated based on the parametric form of the interval uncertainty. Uncertain bounds are computed and results are compared in special cases viz. with the crisp solution.

뫼스바우어선원 적용을 위한 58Ni 표적체 및 Co가 확산된 Rh복합재 제조 (Synthesis of 58Ni Target and Co Diffused Rh Composite for Application of Mössbauer Source)

  • 엄영랑;최상무;김종범;손광재
    • 한국분말재료학회지
    • /
    • 제22권6호
    • /
    • pp.432-437
    • /
    • 2015
  • The en-riched $^{58}Ni$ powders are dissolved in acid solution and coated on a Cu target for proton irradiation at cyclotron to produce $^{57}Co$ radioisotope. The condition of the plating bath and the coating process are determined using the en-riched powders. To establish the coating conditions for $^{57}Co$, non-radioactive Co ions are dissolved in an acid solution and electroplated on to a rhodium plate. The thermal diffusion of electroplated Co into a rhodium matrix was studied to apply a $^{57}Co$ Mssbauer source. The diffusion depth from surface to matrix of Co is depended on the annealing temperature and time. The deposited Co atoms diffuse completely into a rhodium (Rh) matrix without substantial loss at an annealing temperature of 1200 for 4 hours.

Pharmaceutical Studies on Chitosan Matrix: Controlled release of aspirin from chitosan device

  • Lee, Chi-Young;Kim, Sung-Ho
    • Archives of Pharmacal Research
    • /
    • 제10권2호
    • /
    • pp.88-93
    • /
    • 1987
  • Chitosan ($\beta$-D-glucosaminan) is chemically prepared from chitin (N-acetyl-$\beta$- D-glucosaminan) which is an unutilized natural resource. We now report on the suitability of the chitosan matrix for use as vehicles for the controlled release of drugs. Salicylic acid and aspirin were used as model drugs in this study. The permeation of salicylic acid in the chitosan membranes was determined in a glass diffusion cell with two compartments of equal volume. Drug release studies on the devices were conducted in a beaker containing 5% sodium hydroxide solution. Partition coefficient (Kd) value for acetate membrane (472) is much greater than that for fluoro-perchlorate chitosan membrane (282). Higher Kd value for acetate chitosan membrane appears to be inconsisstent with the bulk salicylic acid concentration. The permeability constants of fluoro-perchlorate and acetate chisotan membranes for salicylic acid were 3.139 ${\times}10^{-7}cm^2$ min up to 60 min and that of 30% aspirin in the devices was 4.739${\times}10^{-7}cm^2$sec upto 60 min. As the loading dose of aspirin in a chitosan device increased, water up-take of chitosan device increased, but in case of salicylic acid it decreased. The release rate increased with increase in the molecular volume of the drugs. Thses result suggest that the release mechanism may be controlled mainly by diffusion through pores.

  • PDF

자기치유 콘크리트의 균열치유 성능평가를 위한 개선된 산소확산 시험방법 제안 (Development of Oxygen Diffusion Test Method for Crack Width Evaluation of Self-Healing Concrete)

  • 이도근;신경준
    • 한국건설순환자원학회논문집
    • /
    • 제9권3호
    • /
    • pp.375-382
    • /
    • 2021
  • 자기치유 콘크리트는 직접적인 보수보강 없이도 스스로 구조물의 균열을 치유하여 효율적으로 콘크리트 구조물의 수명연장이 가능하다는 측면에서 각광받고 있다. 현재 자기치유 콘크리트는 전 세계적으로 활발히 연구가 진행되고 있는 분야이지만 대부분의 연구는 치유 성능의 향상에 초점을 맞추고 있기 때문에 객관적으로 치유성능을 평가하는 방법은 부족한 실정이다. 자기치유 콘크리트의 성능평가에 활용하기 위해 기체확산실험 방법이 개발된 바가 있지만, 시편의 포화도 및 실험시의 온습도 등과 같은 환경조건의 통제가 필요하다는 단점이 있다. 따라서 본 연구에서는 기체 확산 실험시에 필요한 환경조건을 대폭 완화하여 적용성을 향상시키고자 하였다. 아울러 실험시간을 단축시키고자 사전 안정화 과정을 도입하였고, 약 20분이내의 실험시간에서 3%이내의 오차 수준으로 균열폭의 추정이 가능하였다.

수지 노화와 잔류응력 변화가 $Avimid^{(R)}$ K3B/IM7 복합재 적층에 미치는 영향 (The effects of matrix aging and residual stress changes on $Avimid^{(R)}$ K3B/IM7 laminates)

  • 김형원
    • 한국군사과학기술학회지
    • /
    • 제8권3호
    • /
    • pp.124-130
    • /
    • 2005
  • In this paper, the effects of matrix hygrothermal aging and residual stress changes on $Avimid^{(R)}$ K3B/IM7 laminates in $80^{\circ}C$ water were studied. The factors causing the $80^{\circ}C$ water to degradation of the laminates could be the degradation of the matrix toughness, the change in residual stresses. After 500 hours fully saturated aging of the neat resin, the weight gain was 1.55% increase with the diffusion coefficient $7{\times}10^{-6}m^2/s$ and the fracture toughness was decreased about 41%. After 100 hours fully saturated aging of the $[+45/0/-45/90]_s$ K3B/IM7 laminates in $80^{\circ}C$ water, the weight gain was 0.41% increase with the diffusion coefficient $1{\times}10^{-6}m^2/s$ and the loss of the microcracking fracture toughness was 43.8% of the original toughness. To see whether the residual stress influenced the fracture toughness, two ply $[90^{\circ}/0^{\circ}]$ laminates were put in $80^{\circ}C$ water from 2 hours to 8 hours. The changes in residual stress in 8 hours are less than 3MPa. Because the 3MPa change is not sufficient to degrade the laminates, the main factor to degrade the microcracking fracture toughness was the degradation of the matrix fracture toughness.

A FAST AND ROBUST NUMERICAL METHOD FOR OPTION PRICES AND GREEKS IN A JUMP-DIFFUSION MODEL

  • JEONG, DARAE;KIM, YOUNG ROCK;LEE, SEUNGGYU;CHOI, YONGHO;LEE, WOONG-KI;SHIN, JAE-MAN;AN, HYO-RIM;HWANG, HYEONGSEOK;KIM, HJUNSEOK
    • 한국수학교육학회지시리즈B:순수및응용수학
    • /
    • 제22권2호
    • /
    • pp.159-168
    • /
    • 2015
  • Abstract. We propose a fast and robust finite difference method for Merton's jump diffusion model, which is a partial integro-differential equation. To speed up a computational time, we compute a matrix so that we can calculate the non-local integral term fast by a simple matrix-vector operation. Also, we use non-uniform grids to increase efficiency. We present numerical experiments such as evaluation of the option prices and Greeks to demonstrate a performance of the proposed numerical method. The computational results are in good agreements with the exact solutions of the jump-diffusion model.

TiNi 형상기억합금을 이용한 복합재료의 제조 및 계면 특성 (Fabrication and Interface Properties of TiNi/6061Al Composite)

  • 김순국;이준희
    • 한국재료학회지
    • /
    • 제9권4호
    • /
    • pp.419-427
    • /
    • 1999
  • TiNi shape memory alloy was shape memory heat-treated and investigated its mechanical properties with the variation of prestrain. Also 6061 Al matrix composites with TiNi shape memory alloy fiber as reinforcement have been fabricated by Permanent Mold Casting to investigate the microstructures and interface properties. Yield stress of TiNi wire was the most high in the case of before heat-treatment and then decreased as increasing heat-treatment time. In each heat-treatment condition, the yield stress of TiNi wire was not changed with increasing the amount of prestrain. The interface bonding of TiNi/6061Al composite was fine. There was a 2$\mu\textrm{m}$ thickness of diffusion reaction layer at the interface. We could find out that this diffusion reaction layer was made by the mutual diffusion. The diffusion rate from Al base to TiNi wire was faster than that of reverse diffusion and the amount of the diffusion was also a little more than that of reverse.

  • PDF

유드라짓과 알긴산 나트륨 매트릭스를 이용한 4-Aminopyridine의 서방성 제제설계 (Formulation Design of Sustained-Release Matrix Tablets Containing 4-Aminopyridine)

  • 김정수;김동우;이계원;지웅길
    • Journal of Pharmaceutical Investigation
    • /
    • 제35권6호
    • /
    • pp.453-460
    • /
    • 2005
  • 4-Aminopyridine (AP) is a potassium channel blocker used in the treatment of neurological disorders such as multiple sclerosis and Alzheimer disease. AP‘s window of therapeutic effect appears to correlate with its plasma halflife (3.5 hours). It demonstrates pH-dependent solubility because of a weakly basic drug. In addition, the resulting release from conventional matrix tablets decreases with increasing pH-milieu of the gastrointestinal tract. The aim of this study is to design sustained release matrix tablet containing AP, overcoming this problem. $Eudragit^{\circledR}$ L 100 (EuL) and sodium alginate were used in an effort to achieve pH independent drug release. The effect of sodium alginate and EuL on drug release from matrix tablet was investigated. The drug release behavior from the different tablets was analyzed by $t_{20%},\;t_{40%},\;t_{60%}$, The exponential diffusion coefficient n, kinetic constant K were calculated according to the Korsmeyer-Peppas equation. The drug release from matrix tablets prepared with sodium alginate was decreased with increasing the content of sodium alginate in pH 7.4 while there is no significant difference in pH 1.2. The exponent n values were determined to be approximately 0.5 and 0.8 respectively, in both pH 1.2 and 7.4. These values indicate diffusion-based anomalous mechanism and erosion-based anomalous mechanism, respectively. The drug release from sodium alginate matrix tablets prepared with solid dispersion of EuL containing drug showed a slow drug release in an acidic medium and a more fast drug release in phosphate medium, compared with sodium alginate matrix tablets prepared with physical mixture. These results may be attributed to the gel forming ability of sodium alginate and pH dependent solubility of EuL. Therefore, sustained-release AP matrix tablets using sodium alginate and EuL were successfully prepared.

디스크소스로부터 NAPL의 확산손실에 관한 수학적 모델 (Mathematical Models on Diffusive Loss of Non-Aqueous Phase Organic Solvents from a Disk Source)

  • Yoon, In-Taek;S.E., Dickson
    • 한국지하수토양환경학회지:지하수토양환경
    • /
    • 제13권6호
    • /
    • pp.40-49
    • /
    • 2008
  • 평평한 fractures에서 공극을 가진 모암으로의 NAPL 확산을 수치적인 방법으로 해석하였다. 2D와 3D에 대한 일회성 디스크 소스와 3D 연속 디스크소스에 대한 모델은 Caralaw and Jaeger(1959)의 이론을 바탕으로 개발하였다. 3D 연속 디스크소스에 대해 공극모암으로 확산되는 NAPL의 총량을 계산할 수 없기 때문에 확산이 반구형으로 이루어진다고 가정하여 등농도선의 합을 이용하여 공극모암으로 확산되는 NAPL의 총량을 계산하였다. 수치적 계산에 따르면 2D 대비 3D의 경우에 NAPL 손실 시간이 현저히 빠른 것으로 나타났으며, 디스크 소스의 중심점에서 normalized된 농도는 일회성 디스크 소스는 시간에 따라 감소하고, 연속 디스크 소스는 증가하는 것으로 나타났으며, 시간과 공간에 따라 확산율은 감소하는 것으로 나타났다. 그리고 NAPL의 mass 손실은 1에 도달하지 못하였으며, 이는 연속 디스크 소스를 semi-infinite로 가정하고 적분했기 때문이다. 확산에 의해 사라지는 시간은 소스의 크기 및 모암 공극률 크기 증가에 비례해서 지수함수적으로 증가하고, 반면 NAPL의 용해성이 증가하면 감소하는 것으로 나타났다.

뫼스바우어선원적용을 위한 전기도금과 열처리기법을 이용한 Co가 확산된 Cu기지체 제조 (Synthesis of Co Diffused Cu Matrix by Electroplating and Annealing for Application of Mössbauer Source)

  • 최상무;엄영랑
    • 한국자기학회지
    • /
    • 제24권6호
    • /
    • pp.186-190
    • /
    • 2014
  • 뫼스바우어 선원 $^{57}Co/Cu$의 제조조건을 도출하기 위하여, 금속 분말 코발트(Co)를 황산에 용해시킨 후 $H_3BO_3$, KOH와 NaCl을 첨가하여 Sulfamate 도금용액을 제조 후 Cu plate 기판에 도금하였다. 도금두께는 $4{\mu}m$로 일정하게 유지하였다. 전류밀도를 $2mA/cm^2$$30mA/cm^2$로 유지하면서 pH에 변화를 준 결과 pH가 4 이상으로 증가하면 hcp 결정의 Co 금속 이외의 2차상이 생성되었다. pH가 증가할수록 Co 후막 표면이 거칠어 졌으며 균열된 표면형상을 관찰하였다. pH가 5까지 증가할 경우 평균입도는 54 nmfh 증가함을 확인하였다. 열처리조건을 변화시키면서 Co가 Cu기지 내에 구속되는 온도가 $900^{\circ}C$에서 2 h임을 확인하였다. 열처리는 진공 후 Ar 분위기(1.5 l/min)를 유지하면서 수행하였다.