• Title/Summary/Keyword: 멱법칙

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A Study on Heat Transfer Enhancement for a Shear-Thinning Fluid in Triangular Ducts (삼각형 단면 덕트 내의 Shear-Thinning 유체에 대한 열전달 촉진에 관한 연구)

  • Lee, Dong-Ryul
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.12 no.9
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    • pp.3808-3814
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    • 2011
  • The prediction of heat transfer and pressure drops in the exchanger passages is a clue to the problem of heat exchanger design. In order to make such predictions for non-Newtonian fluids, it is necessary to know the relation between the viscous properties of the fluid and the wall shear rate in the duct. This study deals with the limits of validity of the power law equation. The useful methodology of the present research involves a consideration of a more general equation which has power law and Newtonian behavior as asymptotes. It isconcluded that use of the power law equation outside of its applicability range can lead to serious errors inpredicting the heat transfer and pressure drops. The present computational results of the friction factors times Reynolds number for shear-thinning fluid flows in a triangular duct are compared with previous published results, showing agreement with 0.13 % in Newtonian region and 2.85 % in power law region. These shear-thinning fluid results also showed the 12% increase of convective heat transfer enhancement compared with Newtonian heat transfer.

The Study of UCC and 'Power law of Participation' for Web 2.0 Environment (웹 2.0 환경에서 UCC와 참여의 멱함수 법칙에 관한 소고)

  • Kang, Jang-Mook;Moon, Song-Chel
    • 한국IT서비스학회:학술대회논문집
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    • 2007.11a
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    • pp.131-135
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    • 2007
  • 참여의 멱함수 이론은 UCC를 생산, 배포, 소비, 재생산하는 과정에 참여하는 사용자들을 분석하는 유용한 도구이다. 참여의 멱함수 이론을 통해 무리는 집합적 지성과 집단 지성을 구분하고 참여의 형태를 세분화하며 참여자간의 관계 분석할 수 있다. 즉 다양한 기술, 사회, 정치 현상들에 배경 정보가 되어 영향력을 행사하는 UCC는 어떤 이유로 제작되고 어떤 형태로 나누어지며 생산한 사람들 간의 관계 또는 생산자와 생산자 고리고 생산자와 소비자 간의 관계를 설명할 때 설득력들 높인다. UCC가 웹 2.0의 어떤 기술 속에 생산되고 배포되고 소비되는지에 대한 플랫폼의 설계에도 멱함수 법칙은 도움을 주는 도구이다.

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The Study on Assessment of Roughness Coefficient for Designing Wind Farm in Jeju Island (제주도 풍력발전단지 설계를 위한 조도계수 산정에 대한 연구)

  • Ko, Jung-Woo;Quan, He Chun;Lee, Byung-Gul
    • Journal of Korean Society for Geospatial Information Science
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    • v.20 no.2
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    • pp.15-22
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    • 2012
  • The variation in the wind speed with height above ground is called the wind shear profile. In the field of wind resource assessment, analysts typically use one of two mathematical relations to characterize the measured wind shear profile: the logarithmic profile (log law) and the power law profile (power law). The logarithmic law uses the surface roughness as a parameter, and the power law uses the power law exponent as a parameter. The shape of the wind shear profile typically depends on several factors, most notably the roughness of the surrounding terrain and the stability of the atmosphere. Since the atmospheric stability changes with season, time of day, and meteorological conditions, the surface roughness and the power law exponent also tends to change in time. For this study, Using the observed data from Met-mast, located in Pyeongdae, Handong in Jeju. we used the matlab and windograper to calculate roughness length and the law exponents. These calculations are similar to reference the data, but they have different ranges. In the ocean case, each reference data and calculated data was the same, but the crop area is higher than the earlier studies. In addition, the agricultural village is lower than the earlier studies.

The Study of UCC and 'Power law of Participation' for Web 2.0 Environment (웹 2.0 환경에서 UCC와 참여의 멱함수 법칙에 관한 연구)

  • Kang, Jang-Mook;Moon, Song-Chul
    • Journal of Digital Contents Society
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    • v.9 no.2
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    • pp.325-330
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    • 2008
  • Production and distributon of UCC prepared User of UCC. Power law of participation is available tool for analysis of UCC user. We can devide collective intelligence and collaborative intelligence through power law of participation. We can analyze relation of paticipant and departmentalize type of participation, Power law of participation is available tool for platform design of production and distribution.

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Power Law Exponent in Coastal Area of Northeastern Jeju Island for the Investigation of Wind Resource (풍력자원 조사를 위한 제주 북동부 연안역의 멱지수 분석)

  • Moon, Seo Jeong;Ko, Jung Woo;Lee, Byung Gul
    • Journal of Korean Society for Geospatial Information Science
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    • v.21 no.4
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    • pp.65-71
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    • 2013
  • Wind shear means the variation of wind speed according to the height. Wind shear is the important factor affecting the energy production of wind turbines. Power Law is used to extrapolate wind speed data. Normally, a Power Law exponent of 0.143 is used and this is referred to as the 1/7th Power Law. The Power Law exponent is affected by atmospheric stability and surface roughness of the site. Thus, it is necessary to calculate the Power Law exponent of the site exactly for an accurate estimation of wind energy. In this study, wind resources were measured at the three Met-masts which were located in the coastal area of northeastern Jeju Island. The Power Law exponents of the sites were calculated and proposed using measured data. They were 0.141 at Handong, 0.138 at Pyeongdae, and 0.1254 at Udo. We compared annual energy productions which are calculated using a Power Law exponent of 0.143, the proposed value of the Power Law exponents for each site, and the measured data. As a result, the cases of calculating using the proposed values were more similar to the cases using the measured data than the cases using the 0.143 value. Finally, we found that the propsed values of the Power Law exponent are available to more accurately estimate wind resources.

Forecasting probabilities of earthquake in Korea based on seismological data (지진 관측자료를 기반으로 한 한반도 지진 발생 확률 예측)

  • Choi, Seowon;Jang, Woncheol
    • The Korean Journal of Applied Statistics
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    • v.30 no.5
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    • pp.759-774
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    • 2017
  • Earthquake concerns have grown after a remarkable earthquake incident on September 12th, 2016 in Gyeongju, Korea. Earthquake forecasting is gaining in importance in order to guarantee infrastructure safety and develop protection policies. In this paper, we adopt a power-law distribution model to fit past earthquake occurrences in Korea with various historical and modern seismological records. We estimated power-law distribution parameters using empirical distributions and calculated the future probabilities for large earthquake events based on our model. We provide the probability that a future event has a larger magnitude than given levels, and the probability that a future event over certain levels will occur in a given period of time. This model contributes to the assessment of latent seismological risk in Korea by estimating future earthquake probabilities.

Identification of vulnerable region susceptible to soil losses by using the relationship between local slope and drainage area in Choyang creek basin, Yanbian China (중국 연변 조양하 유역의 국부경사와 배수면적의 관계를 이용한 토사유실 우심지역 추출)

  • Kim, Joo-Cheol;Cui, Feng Xue;Jung, Kwan Sue
    • Journal of Korea Water Resources Association
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    • v.51 no.3
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    • pp.235-246
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    • 2018
  • The main purpose of this study is to suggest a methodology for identifying vulnerable region in Choyang creek basin susceptible to soil losses based on runoff aggregation structure and energy expenditure pattern of natural river basin within the framework of power law distribution. To this end geomorphologic factors of every point in the basin of interest are extracted by using GIS, which define tractive force and stream power as well as drainage area, and then their complementary cumulative distributions are graphically analyzed through fitting them to power law distribution to identify the sensitive points within the basin susceptible to soil losses with respect to scaling regimes of tractive force and stream power. It is observed that the range of vulnerable region by scaling regime of tractive force is much narrower than by scaling regime of stream power. This result seems to be due to the tractive force is a kind of scale dependent factor which does not follow power law distribution and does not adequately reflect energy expenditure pattern of river basins. Therefore, stream power is preferred to be a more reasonable factor for the evaluation of soil losses. The methodology proposed in this study can be validated by visualizing the path of soil losses, which is generated from hill-slope process characterized by local slope, to the valley through fluvial process characterized by drainage area as well as local slope.

3-D Free Vibration Analysis of Exponential and Power-law Functionally Graded Material(FGM) Plates (지수 및 멱 법칙 점진기능재료 판의 3차원 자유진동해석)

  • Lee, Won-Hong;Han, Sung-Cheon;Ahn, Jin-Hee;Park, Weon-Tae
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.28 no.5
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    • pp.553-561
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    • 2015
  • The exponential and power law functionally graded material(FGM) theory is reformulated considering the refined shear and normal deformation theory. This theory has ability to capture the both normal deformation effect and exponential and power law function in terms of the volume fraction of the constituents for material properties through the plate thickness. Navier's method has been used to solve the governing equations for all edges simply supported plates on Pasternak elastic foundation. Numerical solutions of vibration analysis of FGM plates are presented using this theory to illustrate the effects of power law index and 3-D theory of exponential and power law function on natural frequency. The relations between 3-D and 2-D higher-order shear deformation theory are discussed by numerical results. Further, effects of (i) power law index, (ii) side-to-thickness ratio, and (iii) elastic foundation parameter on nondimensional natural frequency are studied. To validate the present solutions, the reference solutions are discussed.

A Study on the Behaviors of Complex System Revealed in the Sizes of Public Libraries in Korea (우리나라 공공도서관의 규모에 나타나는 복잡계 현상에 관한 연구)

  • Lee, Soo-Sang
    • Journal of Korean Library and Information Science Society
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    • v.44 no.4
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    • pp.399-419
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    • 2013
  • This paper conducted the empirical analysis of the behaviors revealed in the eight size distributions of the public libraries in Korea. As a result, the behaviors of complex system appeared in all eight size factors. This means that the sizes of public libraries in Korea were highly polarized. Especially, the zipf's law were found in the size factors such as gross area, number of staffs, volume of books, total budget. And the highly uneven distributions were occurred in the size factors such as membership, number of users, number of borrowers, number of borrowed books. This research outcomes show that a new policy of public libraries is needed to resolve the polarization revealed in the sizes of public libraries in Korea.

Accuracy Analysis of ADCP Stationary Discharge Measurement for Unmeasured Regions (ADCP 정지법 측정 시 미계측 영역의 유량 산정 정확도 분석)

  • Kim, Jongmin;Kim, Seojun;Son, Geunsoo;Kim, Dongsu
    • Journal of Korea Water Resources Association
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    • v.48 no.7
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    • pp.553-566
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    • 2015
  • Acoustic Doppler Current Profilers(ADCPs) have capability to concurrently capitalize three-dimensional velocity vector and bathymetry with highly efficient and rapid manner, and thereby enabling ADCPs to document the hydrodynamic and morphologic data in very high spatial and temporal resolution better than other contemporary instruments. However, ADCPs are also limited in terms of the inevitable unmeasured regions near bottom, surface, and edges of a given cross-section. The velocity in those unmeasured regions are usually extrapolated or assumed for calculating flow discharge, which definitely affects the accuracy in the discharge assessment. This study aimed at scrutinizing a conventional extrapolation method(i.e., the 1/6 power law) for estimating the unmeasured regions to figure out the accuracy in ADCP discharge measurements. For the comparative analysis, we collected spatially dense velocity data using ADV as well as stationary ADCP in a real-scale straight river channel, and applied the 1/6 power law for testing its applicability in conjunction with the logarithmic law which is another representative velocity law. As results, the logarithmic law fitted better with actual velocity measurement than the 1/6 power law. In particular, the 1/6 power law showed a tendency to underestimate the velocity in the near surface region and overestimate in the near bottom region. This finding indicated that the 1/6 power law could be unsatisfactory to follow actual flow regime, thus that resulted discharge estimates in both unmeasured top and bottom region can give rise to discharge bias. Therefore, the logarithmic law should be considered as an alternative especially for the stationary ADCP discharge measurement. In addition, it was found that ADCP should be operated in at least more than 0.6 m of water depth in the left and right edges for better estimate edge discharges. In the future, similar comparative analysis might be required for the moving boat ADCP discharge measurement method, which has been more widely used in the field.