• 대한의용생체공학회:의공학회지
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• 제17권2호
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• pp.227-234
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• 1996

This paper is the study of the diffusion constant in order to calculate the percent oxygenation and percent blood volume using reflectance light within biological tissue. The diffusion constant play major role in percent oxygenation and percent blood volume and varies with the biological material such as hemolyzed blood, whole blood, dermis and epidermis in vivo tissue. The diffusion constant can be modeled to consist of a contribution from bloodless tissue and blood present in tissue. The reflectance light for experimental are red light of 660nm, infrared light of 880nm, green light of 569nm. The correlation between the diffusion constant and biological tissue was analyzed by the intensity of reflectance light at different depth within human limb. The reflectance light was changed in response to physiological changes within biological tissue. The data for diffusion constant were obtained at different depth beneath the surface of the skin and will be utilized to amen the percent oxygenation and percent blood volume.

• Macromolecular Research
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• 제11권5호
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• pp.311-316
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• 2003

The kinetics of photoinitiated polymerization of dimethacrylate macromonomers have been studied to determine the diffusion-controlled reaction parameters using attenuated total reflectance-Fourier transform infrared spectroscopy (ATR-FTIR). A predicted kinetic rate expression with a diffusion control factor was employed to estimate an effective rate constant and to define the reaction-controlled and diffusion-controlled regimes in the photopolymerization. An effective rate constant, k$_{e}$, can be obtained from the predicted kinetic rate expression. At the earlier stages of polymerization, the average values of kinetic rate constants do not vary during the reaction time. As the reaction conversion, $\alpha$, reaches the critical conversion, $\alpha$$_{c}$, in the predicted kinetic expression, the reaction becomes to be controlled by diffusion due to the restricted mobility of dimethacrylate macromonomers. A drop in value of effective rate constant causes a drastic decrease of reaction rate at the later stages of polymerization. By determining the effective rate constants, the reaction-controlled and diffusion-controlled regimes were properly defined even in the photopolymerization reaction system.m.m.

• 대한화학회지
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• 제42권1호
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• pp.22-27
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• 1998

여러 가지 용매에서 N,N-dimethylaniline에 의한 coumarin 153과 coumarin 481분자의 형광소광효과를 조사하였다. 소광속도상수와 분자의 확산속도상수간의 관계로부터 소광과정이 분자의 확산과 어느정도 상호연관성을 갖고 있음을 알 수 있었다. slip boundary조건 보다stick boundary 조건을 적용하였을 때 분자확산 속도상수와 실험적인 소광속도상수와의 차이가 작게 나타났다. cyclohexane 과 같은 비극성용매에서의 소광속도 상수는 이론적인 확산속도상수 값과 오차범위 내에서 거의 일치하였으나 acetonitrile과 같은 극성용매에서는 소광속도상수는 확산속도상수보다 일관되게 작게 나타났다. 이것은 coumarin 분자의 형광소광이 분자간 확산에 의한 충돌 뿐만 아니라 분자내 전하분리와 같은 과정에 의해서도 진행되는 것으로 해석할 수 있다.

• 열처리공학회지
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• 제14권5호
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• pp.282-285
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• 2001

Based on the mass balance of anion and cation fluxes, the parabolic rate constant ($K_p$) of oxide grown during the high-temperature oxidation of metal is theoretically calculated. It is assumed that the diffusion of oxygen anion and metal cation through oxide scale obeys the Fick's 1st law, the growth of oxide is controlled by the diffusion of ions, electrical potential gradient as driving force for diffusion of ions is ignored, and oxidation occurs within an existing oxide layer. Then, the parabolic rate constant can be expressed by $K_p=[2{\rho}_{MmOn}{M^2}_{MmOn}(mD_oC_o{^e}+nD_MC_M{^e})/nm]$.

• 대한수학회보
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• 제35권2호
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• pp.269-278
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• 1998

Let ($G,\;{\upsilon}$) be a bounded smooth domain and reflection vector field on $\partial$G, which points uniformly into G. Under the condition that locally for some coordinate system, ${\mid}{\upsilon^i}{\mid}\;i\;=\;1,{\cdot},{\cdot}$,d - 1, where is constant depending on the Lipschitz constant of G, we have tightness for reflected diffusion with jump on G with reflection $\upsilon$ depending only on c. From this, we obtain some properties of L-harmonic function where L is a sum of Laplacian and integro one.

• 대한수학회지
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• 제51권4호
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• pp.735-749
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• 2014

This paper studies the asymptotic behavior of the finite-time ruin probability in a jump-diffusion risk model with constant force of interest, upper tail asymptotically independent claims and a general counting arrival process. Particularly, if the claim inter-arrival times follow a certain dependence structure, the obtained result also covers the case of the infinite-time ruin probability.

• 설비공학논문집
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• 제25권12호
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• pp.660-667
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• 2013

This study presents a numerical investigation of the heat and mass transfer kinetics of a fin-tube-type adsorption bed using a two-dimensional numerical model with silica-gel and water as the adsorbent and refrigerant pair. The performance is strongly affected by the heat and mass transfer in the adsorption bed, but the details of the mass transfer kinetics remain unclear. The validity of inter-particle models used to simulate mass-transfer kinetics were examined, such as a constant pressure model and non-constant pressure model, and the valid ranges of the diffusion ratio for each model are proposed. The COP and SCP have been numerically calculated as the performance indexes according to the diffusion ratio. The constant pressure model, which is commonly used in previous research, was found to be valid only in a limited range of diffusion ratio.

• 한국식품과학회지
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• 제14권4호
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• pp.315-323
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• 1982

설탕용액중 benzaldehyde의 의사 2성분계 확산계수를 농도 및 온도를 변화시켜 측정하여 이론식과 비교 검토한 결과 다음과 같은 결론을 얻어 내었다. 1. $20{\sim}40^{\circ}C$의 일정한 온도에서 설탕용액중 benzaldehyde의 확산계수는 점도의 -0.82승에 비례하며 이것은 매질이나 확산되는 물질에 따라 차이가 생긴다. 2. 일정한 온도에서 적어도 두 개 이상의 농도에서 확산계수를 알 수 있다면 Tang-Himmelblau식을 이용하여 Wilke-Chang식 보다 정확하게 확산계수를 예측할 수 있으며 설탕용액에서 ${\varepsilon}=0.2$라 놓을수 있고, 설탕의 회합인자, ${\varphi}_s=2$라 놓을수 있다. 또 Bird 등에 의한 effective diffusivity는 고점도 범위에서는 사용할 수 없다. 3. 염화칼륨을 이용하여 격막 cell 방법으로 cell 상수를 결정할 때 수용액중 염화캄륨의 확산계수가 농도의 영향을 적게 받는 농도범위, 즉 0.05N 이상에서 측정하는 것이 좋으며 온도의 영향은 크지 않으나 상온 부근의 저온에서 측정하는 것이 좋다.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2008년도 추계학술대회B
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• pp.3073-3078
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• 2008

In this study to find out the amount of soot, LII method, which utilizes a laser, was used in laminar diffusion flame and based upon the temperature and soot measured from the turbulent Diesel diffusion flame in the constant-volume chamber using the two-color method. Through these experiments, we could know that the LII signal is generally proportional to the soot amount in a laminar diffusion flame. And we could acquire the temperature and soot using the two-color method in a turbulent Diesel diffusion flame effectively. In addition to, this experiment revealed that the KL factor was high on parts of the chamber where the temperature dropped. On the other hand, the KL factor was low where the temperature increased rapidly. Also, it was possible to measure the highest temperature of a turbulent Diesel diffusion flame is approximately 2300K.

• Journal of applied mathematics & informatics
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• 제40권3_4호
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• pp.393-407
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• 2022

In this paper, a diffusive predator-prey system with Beddington DeAngelis functional response and the modified Leslie-Gower type predator dynamics when a prey population is infected is considered. The predator is assumed to predate both the susceptible prey and infected prey following the Beddington-DeAngelis functional response and Holling type II functional response, respectively. The predator follows the modified Leslie-Gower predator dynamics. Both the prey, susceptible and infected, and predator are assumed to be distributed in-homogeneous in space. A reaction-diffusion equation with Neumann boundary conditions is considered to capture the dynamics of the prey and predator population. The global attractor and persistence properties of the system are studied. The priori estimates of the non-constant positive steady state of the system are obtained. The existence of non-constant positive steady state of the system is investigated by the use of Leray-Schauder Theorem. The existence of non-constant positive steady state of the system, with large diffusivity, guarantees for the occurrence of interesting Turing patterns.