• Title/Summary/Keyword: viscosity coefficient

Search Result 337, Processing Time 0.045 seconds

A GENERAL VISCOSITY APPROXIMATION METHOD OF FIXED POINT SOLUTIONS OF VARIATIONAL INEQUALITIES FOR NONEXPANSIVE SEMIGROUPS IN HILBERT SPACES

  • Plubtieng, Somyot;Wangkeeree, Rattanaporn
    • Bulletin of the Korean Mathematical Society
    • /
    • v.45 no.4
    • /
    • pp.717-728
    • /
    • 2008
  • Let H be a real Hilbert space and S = {T(s) : $0\;{\leq}\;s\;<\;{\infty}$} be a nonexpansive semigroup on H such that $F(S)\;{\neq}\;{\emptyset}$ For a contraction f with coefficient 0 < $\alpha$ < 1, a strongly positive bounded linear operator A with coefficient $\bar{\gamma}$ > 0. Let 0 < $\gamma$ < $\frac{\bar{\gamma}}{\alpha}$. It is proved that the sequences {$x_t$} and {$x_n$} generated by the iterative method $$x_t\;=\;t{\gamma}f(x_t)\;+\;(I\;-\;tA){\frac{1}{{\lambda}_t}}\;{\int_0}^{{\lambda}_t}\;T(s){x_t}ds,$$ and $$x_{n+1}\;=\;{\alpha}_n{\gamma}f(x_n)\;+\;(I\;-\;{\alpha}_nA)\frac{1}{t_n}\;{\int_0}^{t_n}\;T(s){x_n}ds,$$ where {t}, {${\alpha}_n$} $\subset$ (0, 1) and {${\lambda}_t$}, {$t_n$} are positive real divergent sequences, converges strongly to a common fixed point $\tilde{x}\;{\in}\;F(S)$ which solves the variational inequality $\langle({\gamma}f\;-\;A)\tilde{x},\;x\;-\;\tilde{x}{\rangle}\;{\leq}\;0$ for $x\;{\in}\;F(S)$.

Effects of Oil and Internally Finned Tubes on the Performance of the Air-Conditioning Unit (전열관 형상과 냉동기유 효과를 고려한 공조기기의 성능예측)

  • Yun, J.Y.;Lee, K.S.;Lee, D.J.
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
    • /
    • v.6 no.4
    • /
    • pp.388-398
    • /
    • 1994
  • Computer simulation model for predicting more accurately the heat transfer performance of the evaporator and condenser which have significantly affected on the performance of air-conditioner has been suggested. In this model oil and micro-fin tube used in a actual unit are considered to simulate the more realistic case. The effects of oil and micro-fin tube on the performance of an air-conditioner have been investigated. It is found that the present model requires higher pressure than the existing model due to the characteristics of the tube considered. However, it turns out that the present model is very close to an actual cycle. As the amount of oil inside the tube increases, condensation heat transfer coefficient shows a linear decrease irrespective of a kind of oil, while evaporation heat transfer coefficient increases slightly in the oil with low viscosity and decreases exponentially in the oil with high viscosity. Pressure drop in both evaporator and condenser increases linearly irrespective of a kind of oil. It is also found that the effect of the variation of oil concentration on the magnitude of two-phase region is negligible.

  • PDF

Experimental Study on the Isobaric Thermal Expansion Coefficient Density and Zero-shear-rate Viscosity of Viscoelastic Fluid (점탄성 유체의 정압 열팽창계수, 밀도 및 전단속도 0에서의 점동에 대한 실험연구)

  • 최민구
    • The Korean Journal of Rheology
    • /
    • v.7 no.3
    • /
    • pp.181-191
    • /
    • 1995
  • 점탄성유체의 물성치들 중 정압열팽창계수 및 밀도는 자연대류 열전달 연구에 전단 속도 0에서의 점도는 점탄성유체에 대한 모델들 사용 시 필요하다. 본 연구에서는 점탄성유 체이며 마찰 감소 첨가제, 유전자 분리용액동으로 사용하는 Separan AP-273 용액의 정압열 팽창계수, 밀도 및 전단속도 0에서의 점도에대한 농도 및 온도의 영향을 조사하였다. 작동유 체의 물성치들은 10~6$0^{\circ}C$의 온도범위와 100~20,000wppm의 농도범위에서 측정되었다. 작 동유체의 물성치들에 미치는 열주기와 노화의 영향을 조사하기 위해서 정압열팽창계수와 전 단속도 0에서의 점도를 교대로 두 번씩 측정했다. 정압열팽창계수 및 밀도를 측정하는 장치 의 측정 정밀도는 증류수에 대한 측정치와 문헌에 나타난 자료를 비교하여 얻었고 이는 $\pm$ 2%이내였다. Separan AP-273용액의 정압열팽창계수 및 밀도는 증류수의 값들로 대치될수 있다. 작동유체의 정압열팽창계수와 밀도는 열주기와 노화의 영향을 받지 않았다. 낙하식 점 도계를 사용해 측정한 겉보기점도 값들을 나타내느 flow curve에서 전단속도가 0이 되는방 향으로 겉보기점도를 외삽시켜 Separan AP-273용액에 대한 전단속도0에서의 점도를 얻었 다. 정압열팽창계수 측정 전후에 측정한 작동유체에 대한 전단속도 0에서의 점도는 열주기 와 노화로 인해 퇴화되었다.

  • PDF

Thermophysical Properties of CO2 and CO2-Hydrate Mixture and In-Tube Heat Transfer Characteristics (CO2-Hydrate와 CO2 가스 혼합물의 전달물성과 관내측 열전달계수 및 압력강하 예측)

  • Yun, Rin
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
    • /
    • v.25 no.5
    • /
    • pp.233-239
    • /
    • 2013
  • The Thermophysical properties of thermal conductivity, viscosity, and heat capacity for $CO_2$ slurry ($CO_2$ gas and $CO_2$-hydrate mixture) having a high gas phase volume fraction were predicted using the conventional mixture models and the TRAPP model under hydrate formation conditions. Based on the calculated thermophysical properties, the heat transfer coefficient and pressure drop of the $CO_2$ slurry in the tube were predicted. The thermal conductivity of $CO_2$ slurry ranged from 0.02 to 0.2 W/m-K, and the mixture viscosity was larger than that of pure $CO_2$ by 1.9~2.7 times. The heat capacity of $CO_2$ slurry ranged from 63 to 68% of that for pure $CO_2$. The predicted heat transfer coefficient of $CO_2$ slurry was 6 times higher than that of pure $CO_2$. In the separate model, the estimated pressure drop increased with an increase of $CO_2$-hydrate mole fraction, and was 60% of that of pure $CO_2$.

Formulation Design and Evaluation of Ketorolac Tromethamine Hydrogel for Transdermal Delivery System (경피흡수를 위한 케토롤락 하이드로겔의 제제설계 및 평가)

  • Cho, In-Sook;Lee, Gye-Won;Lee, Jong-Hwa;Jee, Ung-Kil
    • Journal of Pharmaceutical Investigation
    • /
    • v.33 no.1
    • /
    • pp.21-28
    • /
    • 2003
  • Ketorolac tromethamine(KT) is a nonsteroidal agent with potent analgesic and moderate anti-inflammatory activity. The lipid-water partition coefficient of KT was evaluated and KT gel was formulated as a gel containing different pH, different concentrations of polymer (poloxamer 407, carbopol 941), propylene glycol, ethanol and various enhancers. The resulting KT gels were evaluated with respect to their viscosity, in vitro drug permeation rate through hairless mouse skin and stability. In n-octanol and chloroform, the lipid-water partition coefficient of KT was the highest at pH 4 phosphate buffer. The apparent viscosity of KT gel increased with an increase in gel pH, polymer and enhancer concentration. But the apparent viscosity of KT gel decreased with an increase in ethanol concentration. The permeation rate of KT through hairless mouse skin from gels different pH was maximum at pH 4 which is close to KT $pK_{a}$ 3.54. The permeation rate decreased with an increase in polymer, propylene glycol concentration. But the permeation rate increased with an increase in ethanol. The increase of drug concentration from 1 to 3% induced linear increase in permeation rate. The best enhancer was the combination of $Labrasol^{\circledR},\;Transcutol^{\circledR}$, oleic acid and l-menthol. In the accelerated stability test(25, 40 and $50{\circ}C$), pH 5 gel was most stable and pH 4 gel was most unstable for 90 days.

Introduction of Numerical Analysis Method for Calculation of Diffusion Property in Interlayer Water of Expansible Clay Mineral (팽창성 점토광물 내 층간수의 확산특성분석을 위한 수치해석학적 방법)

  • Choi, Jung-Hae;Chae, Byung-Gon;Chon, Chul-Min
    • Journal of the Mineralogical Society of Korea
    • /
    • v.25 no.4
    • /
    • pp.211-220
    • /
    • 2012
  • The numerical modeling and simulation have been used increasingly as tools for examining and interpreting the bulk structure and properties of materials. The use of molecular dynamics (MD) simulations to model the structure of materials is now both widespread and reasonably well understood. In this research, we introduced the numerical method to calculate the physico-chemical properties such as a diffusion coefficient and a viscosity of clay mineral. In this research, a series of MD calculations were performed for clay mineral and clay-water systems, appropriate to a saturated deep geological setting. Then, by using homogenization analysis (HA), the diffusion coefficients are calculated for conditions of the spatial distribution of the water viscosity associated with some configuration of clay minerals. This result of numerical analysis is quite similar to the previous experimental results. It means that the introduced numerical method is very useful to calculate the physico-chemical properties of clay minerals under various environmental conditions.

Rheological Properties of Gelatinized Dilute Rice Starch Solutions (쌀전분 희석 호화액의 유동학적 특성)

  • Kim, Young-Sug;Kim, Ju-Bong;Lee, Shin-Young;Pyun, Yu-Ryang
    • Korean Journal of Food Science and Technology
    • /
    • v.16 no.1
    • /
    • pp.11-16
    • /
    • 1984
  • Rheological properties of waxy and non-waxy rice starch solutions were evaluated with a narrow gap rotational and Cannon Fenske viscometers. The gelatinized rice starch solutions containing 0.2-1.0% starch displayed pseudoplastic flow behavior. At higher starch level, degree of pseudoplasticity of waxy rice starch solutions increased, while that of non-waxy rice did not changed apparently. The consistency coefficient (K) of non-waxy rice starch solutions increased with increasing gelatinization temperature, but waxy rice starch solutions remained constant, and in alkaline aqueous solutions both of them showed increasing K values. The value of K increased exponentially with an increase in concentration. The effect of the temperature on the viscosity of the solutions followed Arrhenius' type equation, and the activation energies were in the range of 3.675-3.775 kcal/g-mol that were near to that of pure water. The changes of reduced viscosity with concentration were followed Huggin's equation and the values of intrinsic viscosity and interaction coefficient were 0.78-1.59 dl/g and 0.67-2.75, respectively.

  • PDF

Effect of Temperature, Solvent Concentration, and pH on the β-Glucan Extraction (β-Glucan 추출에 미치는 온도, 용매 농도 및 pH의 영향)

  • Lee, Sang Hoon;Jang, Gwi Yeong;Kim, Kee Jong;Lee, Mi Ja;Kim, Tae Jip;Lee, Junsoo;Jeong, Heon Sang
    • The Korean Journal of Food And Nutrition
    • /
    • v.25 no.4
    • /
    • pp.871-877
    • /
    • 2012
  • This study investigated the effects of temperature, solvent concentration, and pH on the ${\beta}$-glucan extraction. Oat bran ${\beta}$-glucan was extracted with different extraction conditions, using various combinations of experiment factors, such as temperature (40, 45, 50, 55, and $60^{\circ}C$), ethanol concentration (0, 5, 10, 15, and 20%), and pH (5, 6, 7, 8, and 9). Under the various extraction conditions, ${\beta}$-glucan extraction rate and overall mass transfer coefficient of oat bran ${\beta}$-glucan, and viscosity of oat bran extracts were investigated. As increasing the extraction time, the extraction rate of ${\beta}$-glucan increased. The overall mass transfer coefficient of ${\beta}$-glucan ranged from $3.36{\times}10^{-6}$ to $8.55{\times}10^{-6}cm/min$, indicating the lowest at the extraction condition of $45^{\circ}C$, 15% and pH 8, and the highest at $50^{\circ}C$, 0% and pH 7. It was significantly greater with increasing extraction temperature and decreasing ethanol concentrations of extraction solvent, except for solvent pH. There were positive correlations among the overall mass transfer coefficient, the extraction rate of ${\beta}$-glucan, and the viscosity of extract.

Probe Diffusion and Viscosity Properties in Dimethyl Sulfoxide Solution of Poly(vinyl alcohol) with High Degree of Hydrolysis (고검화도의 폴리(비닐 알코올)/디메틸설폭사이드 용액에서의 점성도 특성과 탐침입자의 확산)

  • Eom, Hyo-Sang;Park, Il-Hyun
    • Polymer(Korea)
    • /
    • v.34 no.5
    • /
    • pp.415-423
    • /
    • 2010
  • Poly(vinyl alcohol)(PVA) with high degree of hydrolysis of above 98% was dissolved in dimethyl sulfoxide(DMSO), and the shear viscosity was measured up to $C{\simeq}0.14\;g/mL$ in the semi-dilute solution regime. Next, as probe particle, polystyrene(PS) latex was introduced into this matrix system and its delayed diffusion due to polymer concentration was investigated by means of dynamic light scattering. When the solution viscosity of PVA/DMSO was plotted against the reduced concentration $C[{\eta}]$, which is scaled by the intrinsic viscosity, the molecular weight dependence was strongly appeared at C$[{\eta}]$ >2. Some heterogeneties in polymer solution were considered as its source. Contrary, the diffusion of probe particle in the matrix solution was observed as a single mode motion at whole concentration range but its ratio of its diffusion coefficient at solution to that at solvent, D/Do did not show any molecular weight dependence at all. However, the application limit of the stretched exponential function was disclosed at C$[{\eta}]$ >2.5.

무진동 조이스틱을 이용한 전동 휠체어 제어에 관한 연구

  • 홍준표;권오상;이응혁;김병수;홍승홍
    • Proceedings of the ESK Conference
    • /
    • 1997.04a
    • /
    • pp.145-149
    • /
    • 1997
  • General joystick using spring only has a vibration when operaor drops the joystick. If it is used as input of motorized wheelchair, its system have a serious problem which operator fall into dangerous situation. Therefore, In this paper proposed non-vibration joustick which control a motorized wheelchair. Non-vibration joystick was designed which return to origin point when operator drops joystick by mistake. Reflected force of non- vibration joystick is defined as addition displacement and variation rate. And each parameter has elasticity of spring and viscosity of DC servo motor. Through simulation for virtual environment, we found two coefficient to return origin point smoothly when a disabled person drops the joystick. In case of larger elastic coefficient of spring than viscous coefficient, we confirmed the result has the equal vibration of general joystick (under-damping). In opposite case, joystick returned to origin point with excessive force. As a application of non-vibration joystick, we experimented wall-following controlling. In this trial, we corroborated that joystick follows smoothly around the corridors.

  • PDF