• 제목/요약/키워드: logarithmic free energy

검색결과 9건 처리시간 0.023초

A NONLINEAR CONVEX SPLITTING FOURIER SPECTRAL SCHEME FOR THE CAHN-HILLIARD EQUATION WITH A LOGARITHMIC FREE ENERGY

  • Kim, Junseok;Lee, Hyun Geun
    • 대한수학회보
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    • 제56권1호
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    • pp.265-276
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    • 2019
  • For a simple implementation, a linear convex splitting scheme was coupled with the Fourier spectral method for the Cahn-Hilliard equation with a logarithmic free energy. However, an inappropriate value of the splitting parameter of the linear scheme may lead to incorrect morphologies in the phase separation process. In order to overcome this problem, we present a nonlinear convex splitting Fourier spectral scheme for the Cahn-Hilliard equation with a logarithmic free energy, which is an appropriate extension of Eyre's idea of convex-concave decomposition of the energy functional. Using the nonlinear scheme, we derive a useful formula for the relation between the gradient energy coefficient and the thickness of the interfacial layer. And we present numerical simulations showing the different evolution of the solution using the linear and nonlinear schemes. The numerical results demonstrate that the nonlinear scheme is more accurate than the linear one.

감쇠계수 산출을 위한 자유 횡동요 감쇠실험 연구 (Experimental Study of the Free Roll Decay Test for the Evaluation of Roll Damping Coefficients)

  • 김남우;김용직;하영록
    • 대한조선학회논문집
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    • 제52권6호
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    • pp.460-470
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    • 2015
  • In general ships and FPSOs, roll damping is very small and consequently roll motion is very large at the roll resonance frequency. Proper evaluation of the roll damping coefficient at the resonance frequency is an important task in the study of roll motion and usually it is done by the analysis of free roll decay tests. The relative decrement method based on energy relation has been used mainly for the evaluation of roll damping coefficient from the roll decay test so far. As another method, the logarithmic decrement method based on equivalent linear decay assumption can be used for the same purpose and it is relatively simple. In this paper, both of the relative decrement method and the logarithmic decrement method are used for the evaluation of roll damping coefficient including quadratic damping from the free roll decay tests, and their results are cross-checked for verifying the obtained damping coefficients. Through applications to a box-type floating body equiped with bilge keels, it is shown that the two methods give almost the same damping coefficients in a practical view point and the cross-check of their results is to be a good tool to prevent a possible error. And also the quantitative effects of the bilge keels on the roll damping of box-type floating body are shown and discussed.

드라이쿨러를 적용한 외기냉수냉방 시스템 설계에 관한 연구 (A study on design for free cooling system using dry cooler)

  • 윤정인;백승문;허정호;김영민;손창효
    • Journal of Advanced Marine Engineering and Technology
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    • 제38권9호
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    • pp.1027-1031
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    • 2014
  • 외기냉수냉방 시스템은 공조나 산업공정에 사용되는 냉수를 저온의 외기를 이용하여 냉각하는 시스템으로 에너지를 절감하기위해 사용되며, 냉각시스템과 외기와 냉수가 열교환을 하는 드라이쿨러로 구성되어있다. 외기냉수냉방 시스템은 지속적인 냉방이 필요한 곳에 에너지절감효과가 뛰어나나 국내의 경우, 외기냉수냉방 시스템에 설계 기준과 자료가 미비하다. 따라서 본 연구에서는 상용프로그램 HYSYS를 이용하여, 드라이쿨러를 이용한 외기냉수냉방 시스템의 요소변화에 따른 성능을 비교 분석했으며 그 결과는 다음과 같다. 드라이쿨러의 냉각능력은 외기온도, 요구냉수온도, 열교환기의 LMTD (Logarithmic Mean Temperature Difference, 대수평균온도차)에 따라 변한다. 드라이쿨러는 외기온도가 낮을 수록 그 냉각능력이 증가하며, LMTD가 낮은 드라이쿨러가 LMTD가 높은 것에 비하여 고온의 외기온도에서 사용이 가능하였다. 외기온도가 극히 낮은 지역에서는 글리콜이 함유된 부동액을 사용해야하며 국내의 외기온도를 고려하였을 때, 글리콜농도 34%의 부동액이 적절한 것으로 판단된다. 냉동기에 적용될 작동유체의 경우, R22, R134a, R407C의 압축일을 비교했으며, R134a가 환경관련 규제와 에너지 사용측면에서 우수한 냉매로 사료된다.

적합직교분해(POD)기법을 사용한 난류 응집구조 거동에 관한 연구 (A Study on the Effect of Large Coherent Structures to the Skin Friction by POD Analysis)

  • 신성윤;정광효;강용덕;서성부;김진;안남현
    • 대한조선학회논문집
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    • 제54권5호
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    • pp.406-414
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    • 2017
  • An experimental study in a recirculating water channel was carried out to investigate the effect of large coherent structures to the skin friction on a flat plate. Particle Image Velocimetry (PIV) technique was used to quantify characteristic features of coherent structures growing to the boundary layer. In the PIV measurement, it is difficult to calculate the friction velocity near the wall region due to laser deflection and uncertainty so that Clauser fitting method at the logarithmic region was adopted to compute the friction velocity and compared with the one directly measured by the dynamometer. With changing the free-stream velocity from 0.5 m/s to 1.0 m/s, the activity of coherent structures in the logarithmic region was increased over three times in terms of Reynolds stress. The flow field was separated by Variable Interval Time Averaging (VITA) technique into the weak and the strong structure case depending on the existence large coherent structures in order to validate its effectiveness. The stream-wise velocity fluctuation was scanned through at the boundary thickness whether it had a large deviation from background flow. With coherent structures connected from near-wall to the boundary layer, mean wall shear stress was higher than that of weak structure case. Proper Orthogonal Decomposition (POD) analysis was also applied to compare the energy budget between them at each free-stream velocity.

진동.충격음 흡수성능을 지니는 목질계 복합재료의 개발(I) -가소화 폴리염화비닐의 동적점탄성과 진동흡수성능- (Development of Vibraction and Impact Noise Dampling Wood-based Composites(I) -Dynamic Mechanical and Vibration Damping Properties of Plasticized PVC-)

  • 이현종
    • 임산에너지
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    • 제17권1호
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    • pp.36-46
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    • 1998
  • 이 연구는 점탄성 고분자재료를 사용하여 진동·충격음 흡수성능을 지니는 목질계 복합재료의 제조를 목적으로, 가소화 PVC의 동적점탄성 및 고분자 적층 복합체의 진동흡수성능에 미치는 고분자의 점탄성의 영향을 검토하였다. 가소제는 디옥틸프탈레이트(DOP)를 사용하여, 20∼140 phr까지 첨가하였다. 고분자의 동적점탄성의 측정은 Rheovibron을 사용하여 110Hzdml 인장진동을 가하여, -100∼150℃까지 매분 1℃를 상승시키면서 측정하였다. PVC와 DOP는 전조성에서 완전상용성이었으며, T(E"max)와 T(tan δmax)는 가소제의 첨가량이 증가함에 따라 저온 측으로 이동하였다. 고분자 적층 복합체의 진동흡수성능은 Rheovibron을 개조한 양단지지 중심하중에 의한 강제 휨진동법 및 공진법에 하나인 양단자유 휨진동법을 사용하였다. 샌드위치구조 복합체의 진동흡수계수(tanδc)는 고분자의 손실계수(tanδ)와 정의 상관성을 나타내었으며, 피복체의 진동흡수계수는 고분자의 손실탄성률(E")에 의존하는 경향을 나타내었다. 또한 샌드위치구조 복합체의 대수감쇠율(Δc)은 tanδc곡선과 유사한 곡선을 나타내었다.

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난류 제트확산화염의 연소소음 특성에 관한 실험연구 (Experimental Study on Combustion Noise Characteristics in Turbulent Jet Diffusion Flames)

  • 김호석;오상헌
    • 대한기계학회논문집
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    • 제18권5호
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    • pp.1253-1263
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    • 1994
  • The experimental study is carried out to identify the combustion generated noise mechanism in free turbulent jet diffusion flames. Axial mean fluctuating velocities in cold and reacting flow fields were measured using hot-wire anemometer and LDv.The overall sound pressure level and their spectral distribution in far field with and without combustion were also measured in an anechoic chamber. The axial mean velocity is 10-25% faster and turbulent intensities are about 10 to 15% smaller near active reacting zone than those in nonreacting flow fields. And sound pressure level is about 10-20% higher in reacting flow fields. It is also shown that the spectra of the combustion noise has lower frequency characteristics over a broadband spectrum. These results indicate that the combustion noise characteristics in jet diffusion flames are dominated by energy containing large scale eddies and the combusting flow field itself. Scaling laws correlating the gas velocity and heat of combustion show that the acoustic power of the combustion noise is linearly proportional to the 3.8th power of the mean axial velocity rather than 8th power in nonreacting flow fields, and the SPL increases linearly with logarithmic 1/2th power of the heat of combustion.

Chain Transfer to Monomer and Polymer in the Radical Polymerization of Vinyl Neo-decanoate

  • Balic, Robert;Fellows, Christopher M.;Van Herk, Alex M.
    • Macromolecular Research
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    • 제12권4호
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    • pp.325-335
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    • 2004
  • Molecular weight distributions of poly(vinyl neo-decanoate) produced by the bulk polymerization of the monomer to low conversions were investigated to obtain values of the rate constants for the chain transfer to monomer ( $C_{M}$). The value of $C_{M}$ of 7.5($\pm$0.6)${\times}$10$^{-4}$ was obtained from a logarithmic plot of the number distribution at 5,25, and 5$0^{\circ}C$, which suggests that the activation energy for chain transfer is on the order of 20-25 kJ ㏖$^{-1}$ . These plots were linear between the number and weight-average degrees of polymerization, but not over the whole molecular weight range for which a significant signal was observed in the gel permeation chromatography (GPC) trace. Modeling suggests that the deviations observed at high molecular weights can be explained by branching of the chains through chain transfer to the polymer, with a branching density as low as 10$^{-5}$ , without affecting the slope at low values of the number of monomer unit, N. This deviation from the expected distribution of linear chains was used to estimate the branching densities at low conversion.ion.

Development of a Daily Solar Major Flare Occurrence Probability Model Based on Vector Parameters from SDO/HMI

  • Lim, Daye;Moon, Yong-Jae;Park, Jongyeob;Lee, Kangjin;Lee, Jin-Yi
    • 천문학회보
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    • 제42권2호
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    • pp.59.5-60
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    • 2017
  • We present the relationship between vector magnetic field parameters and solar major flare occurrence rate. Based on this, we are developing a forecast model of major flare (M and X-class) occurrence rate within a day using hourly vector magnetic field data of Space-weather HMI Active Region Patch (SHARP) from May 2010 to April 2017. In order to reduce the projection effect, we use SHARP data whose longitudes are within ${\pm}60$ degrees. We consider six SHARP magnetic parameters (the total unsigned current helicity, the total photospheric magnetic free energy density, the total unsigned vertical current, the absolute value of the net current helicity, the sum of the net current emanating from each polarity, and the total unsigned magnetic flux) with high F-scores as useful predictors of flaring activity from Bobra and Couvidat (2015). We have considered two cases. In case 1, we have divided the data into two sets separated in chronological order. 75% of the data before a given day are used for setting up a flare model and 25% of the data after that day are used for test. In case 2, the data are divided into two sets every year in order to reduce the solar cycle (SC) phase effect. All magnetic parameters are divided into 100 groups to estimate the corresponding flare occurrence rates. The flare identification is determined by using LMSAL flare locations, giving more numbers of flares than the NGDC flare list. Major results are as follows. First, major flare occurrence rates are well correlated with six magnetic parameters. Second, the occurrence rate ranges from 0.001 to 1 for M and X-class flares. Third, the logarithmic values of flaring rates are well approximated by two linear equations with different slopes: steeper one at lower values and lower one at higher values. Fourth, the sum of the net current emanating from each polarity gives the minimum RMS error between observed flare rates and predicted ones. Fifth, the RMS error for case 2, which is taken to reduce SC phase effect, are smaller than those for case 1.

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수도(水稻)의 역학적(力學的) 및 리올러지 특성(特性)에 관(關)한 연구(硏究) (Mechanical and Rheological Properties of Rice Plant)

  • 허윤근;차균도
    • 농업과학연구
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    • 제14권1호
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    • pp.98-133
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    • 1987
  • The mechanical and rheological properties of agricultural materials are important for engineering design and analysis of their mechanical harvesting, handling, transporting and processing systems. Agricultural materials, which composed of structural members and fluids do not react in a purely elastic manner, and their response when subjected to stress and strain is a combination of elastic and viscous behavior so called viscoelastic behavior. Many researchers have conducted studies on the mechanical and rheological properties of the various agricultural products, but a few researcher has studied those properties of rice plant, and also those data are available only for foreign varieties of rice plant. This study are conducted to experimentally determine the mechanical and the rheological properties such as axial compressive strength, tensile strength, bending and shear strength, stress relaxation and creep behavior of rice stems, and grain detachment strength. The rheological models for the rice stem were developed from the test data. The shearing characteristics were examined at some different levels of portion, cross-sectional area, moisture content of rice stem and shearing angle. The results obtained from this study were summarized as follows 1. The mechanical properties of the stems of the J aponica types were greater than those of the Indica ${\times}$ Japonica hybrid in compression, tension, bendingand shearing. 2. The mean value of the compressive force was 80.5 N in the Japonica types and 55.5 N in the Indica ${\times}$ Japonica hybrid which was about 70 percent to that of the Japonica types, and then the value increased progressively at the lower portion of the stems generally. 3. The average tensile force was about 226.6 N in the Japonica types and 123.6 N in the Indica ${\times}$ Japonica hybrid which was about 55 percent to that of the Japonica types. 4. The bending moment was $0.19N{\cdot}m$ in the Japonica types and $0.13N{\cdot}m$ in the Indica ${\times}$ Japonica hybrid which was 68 percent to that of the Japonica types and the bending strength was 7.7 MPa in the Japonica types and 6.5 MPa in the Indica ${\times}$ Japonica hybrid respectively. 5. The shearing force was 141.1 N in Jinju, the Japonica type and 101.4 N in Taebaeg, the Indica ${\times}$ Japonica hybrid which was 72 percent to that of Jinju, and the shearing strength of Taebaeg was 63 percent to that of Jinju. 6. The shearing force and the shearing energy along the stem portion in Jinju increased progressively together at the lower portions, meanwhile in Taebaeg the shearing force showed the maximum value at the intermediate portion and the shearing energy was the greatest at the portion of 21 cm from the ground level, and also the shearing strength and the shearing energy per unit cross-sectional area of the stem were the greater values at the intermediate portion than at any other portions. 7. The shearing force and the shearing energy increased with increase of the cross-sectional area of the rice stem and with decrease of the shearing angie from $90^{\circ}$ to $50^{\circ}$. 8. The shearing forces showed the minimum values of 110 N at Jinju and of 60 N at Taebaeg, the shearing energy at the moisture content decreased about 15 percent point from initial moisture content showed value of 50 mJ in Jinju and of 30 mJ in Taebaeg, respectively. 9. The stress relaxation behavior could be described by the generalized Maxwell model and also the compression creep behavior by Burger's model, respectively in the rice stem. 10. With increase of loading rate, the stress relaxation intensity increased, meanwhile the relaxation time and residual stress decreased. 11. In the compression creep test, the logarithmic creep occured at the stress less than 2.0 MPa and the steady-state creep at the stress larger than 2.0 MPa. 12. The stress level had not a significant effect on the relaxation time, while the relaxation intensity and residual stress increased with increase of the stress level. 13. In the compression creep test of the rice stem, the instantaneous elastic modulus of Burger's model showed the range of 60 to 80 MPa and the viscosities of the free dashpot were very large numerical value which was well explained that the rice stem was viscoelastic material. 14. The tensile detachment forces were about 1.7 to 2.3 N in the Japonica types while about 1.0 to 1.3 N in Indica ${\times}$ Japonica hybrid corresponding to 58 percent of Japonica types, and the bending detachment forces were about 0.6 to 1.1 N corresponding to 30 to 50 percent of the tensile detachment forces, and the bending detachment of the Indica ${\times}$ Japonica hybrid was 0.1 to 0.3 N which was 7 to 21 percent of Japonica types. 15. The detachment force of the lower portion was little bigger than that of the upper portion in a penicle and was not significantly affected by the harvesting period from September 28 to October 20. 16. The tensile and bending detachment forces decreased with decrease of the moisture content from 23 to 13 percent (w.b.) by the natural drying, and the decreasing rate of detachment forces along the moisture content was the greater in the bending detachment force than the tensile detachment force.

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