• Korea-Australia Rheology Journal
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• 제15권3호
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• pp.117-124
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• 2003

Elastohydrodynamic lubrication (EHL) film is measured under the condition of viscosity index improver added to base oil. In-situ optical contact method using the interference principle make the measuring resolution of ~5 nm possible and enables the measuring range all over the contact area of up to ~300 $\mu\textrm{m}$ diameter. What is more important to the developed method by the author is that the measurement of EHL film thickness is possible in the range from 100 nm to 2 $\mu\textrm{m}$, which is the regime of worst contact failures in precision machinery. Viscosity index improver (VII) is one of the major additives to the modem multigrade lubricants for the viscosity stability against temperature rise. However, it causes shear thinning effects which make the film thickness lessened very delicately at high shear rate (over $10^5 s^{-1}$) of general EHL contact regime. In order to exactly verify the VIIs performance of viscosity stability at such high shear rate, it is necessary to make the measurement of EHL film thickness down to ~100 nm with fine resolution for the preliminary study of viscosity control. In this work, EHL film thickness of VII added lubricant is measured with the resolution of ~5 nm, which will give very informative design tool for the synthesis of lubricants regarding the matter of load carrying capacity at high shear rate condition.

• Journal of applied mathematics & informatics
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• 제29권1_2호
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• pp.227-245
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• 2011

In this paper, we introduce a new iterative method for finding a common element of the set of solutions for mixed equilibrium problem, the set of solutions of the variational inequality for a ${\beta}$inverse-strongly monotone mapping and the set of fixed points of a family of finitely nonexpansive mappings in a real Hilbert space by using the viscosity and Ces$\`{a}$ro mean approximation method. We prove that the sequence converges strongly to a common element of the above three sets under some mind conditions. Our results improve and extend the corresponding results of Kumam and Katchang [A viscosity of extragradient approximation method for finding equilibrium problems, variational inequalities and fixed point problems for nonexpansive mapping, Nonlinear Analysis: Hybrid Systems, 3(2009), 475-86], Peng and Yao [Strong convergence theorems of iterative scheme based on the extragradient method for mixed equilibrium problems and fixed point problems, Mathematical and Computer Modelling, 49(2009), 1816-828], Shimizu and Takahashi [Strong convergence to common fixed points of families of nonexpansive mappings, Journal of Mathematical Analysis and Applications, 211(1) (1997), 71-83] and some authors.

• 대한수학회보
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• 제52권6호
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• pp.1945-1962
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• 2015

This paper is mainly concerned with the formation of delta standing wave for the scalar conservation law with a linear flux function involving discontinuous coefficients by using the self-similar viscosity vanishing method. More precisely, we use the self-similar viscosity to smooth out the discontinuous coefficient such that the existence of approximate viscous solutions to the delta standing wave for the Riemann problem is established and then the convergence to the delta standing wave solution is also obtained when the viscosity parameter tends to zero. In addition, the Riemann problem is also solved with the standard method and the instability of Riemann solutions with respect to the specific small perturbation of initial data is pointed out in some particular situations.

• 대한수학회지
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• 제48권4호
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• pp.867-885
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• 2011

We study a class of quasilinear wave equations with strong and nonlinear viscosity. By using the perturbation method for semilinear parabolic equations, we have established the fundamental results on existence, uniqueness and continuous dependence on data of weak solutions.

• 한국연소학회:학술대회논문집
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• 한국연소학회 2014년도 제49회 KOSCO SYMPOSIUM 초록집
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• pp.21-24
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• 2014

In the entrained-flow coal gasifier, coal ash turns into a molten slag most of which deposits onto the wall to form liquid and solid layers. Critical viscosity refers to the viscosity at the interface of the two layers. The slag layers play an important role in protecting the wall from physical/chemical attack from the hot syngas and in continuously discharging the ash to the slag tap at the bottom of the gasifier. For coal with high ash melting point and slag viscosity, CaO-based flux is added to coal to lower the viscosity. This study evaulates the effect of critical viscosity temperature and ash/flux ratio on the slag behavior using numerical modelling in a commercial gasifier. The changes in the slag layer thickness, heat transfer rate, surface temperature and velocity profiles were analyzed to understand the underlying mechanism of slag flow and heat transfer.

• 한국정밀공학회지
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• 제16권11호
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• pp.16-21
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• 1999

Recently, the rheology on the fluidity of materials has been progressed remarkably. Viscosity measurement for precision-accuracy has needed very important to measure the rheological properties of materials in the field of chemistry-fiber, paint, printing-ink, plastics, rubber, foodstuff-industry, etc. And many methods of measurement have been developed lately. So in this experimental study, small capacity torque transducer with type of strain gage, different method against other existing viscometers, measured viscosity about a liquid that has flowing characteristics of newtonian liquid. Using the assumed computational equation of viscosity, it has same value of viscosity in each different radius of rotating cylinder. In the result, this equipment will be used in the viscosity measurement of a liquid taking flowing characteristics of newtonian liquid.

• 대한기계학회논문집B
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• 제39권8호
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• pp.677-682
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• 2015

격자 볼츠만 기법(Lattice Boltzmann method)을 사용하여 에멀전의 유변학적 특성을 파악하기 위한 시뮬레이션을 수행하였다. 간단한 전단 유동하에서 온도와 전단속도, 계면장력에 변화를 주어 에멀전(decane-in-water)의 상대점도를 계산하고 이를 분석하였다. 에멀전의 상대점도는 온도가 증가함에 따라 감소하였고, 전단속도가 증가함에 따라 감소하는 전단박하(Shear thinning) 현상을 보여주었다. 이는 크로스 모델(Cross model)을 통해 검증하였고 일치하는 경향을 보여주었다. 계면에 존재하는 계면활성제(Surfactant)를 통해 제어되는 계면장력이 증가할수록 상대점도는 감소하는 경향을 보여주었다. 이것은 큰 계면장력에서는 기름방울의 변형이 억제되고 점도가 상대적으로 높은 기름방울의 표면적이 감소하면서 나타난다고 해석할 수 있다.

• 한국수소및신에너지학회논문집
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• 제26권6호
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• pp.581-589
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• 2015

In this study, the viscosity of a liquid carbon dioxide ($LCO_2$) that can potentially be used in a wet feed coal gasifier was evaluated. A pressurized capillary viscometer was employed to obtain the viscosity data of $LCO_2$ using two different methods. During the first method, the measurements were conducted under quasi-steady and high pressure flow conditions where two-phase flow was greatly minimized. The viscosity of $LCO_2$ was determined using turbulent friction relationship. At the second flow condition where unsteady flow is induced, the viscosity of $LCO_2$ was measured using the half-time pressure decay data and was further compared with values calculated by the first method.

• East Asian mathematical journal
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• 제27권1호
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• pp.11-21
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• 2011

In this paper, we try to extend the viscosity approximation technique to find a particular common zero of a finite family of accretive mappings in a Banach space which is strictly convex reflexive and has a weakly sequentially continuous duality mapping. The explicit viscosity approximation scheme is proposed and its strong convergence to a solution of a variational inequality is proved.

• 한국터널지하공간학회 논문집
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• 제20권5호
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• pp.773-786
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• 2018

본 연구에서는 강관다단공법에 사용되는 씰링재의 점도특성에 대한 연구를 수행하였다. 씰링재는 차수 및 공벽 안정성 확보 기능과 더불어 후속공정인 그라우트재 주입 시 주입이 원활히 될 수 있도록 최소한의 강도를 보유하여야 한다. 교반조건에 따른 씰링재의 특성을 점도를 통하여 간접적으로 파악하였다. 초기 물과 벤토나이트의 사전 교반 특성에 따라 점도의 급격한 증가 시점이 상이하게 나타났다. 사전교반 시간이 길수록 벤토나이트가 팽윤 할 기회가 많아지므로 상대적으로 짧은 시간에 점도의 급격한 증가 현상이 나타났다. 또한 급격한 점도 증가 이전 단계에서는 물/시멘트/벤토나이트 혼합물이 틱소트로피 거동을 보이다가 점도 증가 이후부터는 레오펙시 거동을 보인다. 또한 사전 교반 시간은 혼합물이 재료분리 거동에도 영향을 미침이 확인이 되었다. 따라서 본 연구결과를 바탕으로 씰링재의 요구성능 및 배합절차에 대해서 추가 논의가 필요하며, 향후 시멘트와 벤트나이트의 상호작용에 대해 심도 깊은 연구를 통하여 현장에서 적용 가능한 가이드 도출이 필요하다.