• Title/Summary/Keyword: 멱법칙

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Asymptotic Approach to Pressure Drop and Heat Transfer in a Rectangular Pipe with Shear-thickening Fluids (사각형 단면 파이프 내에서의 Shear-thickening 유체를 이용한 압력강하 및 열전달 예측에 대한 점근적 해석)

  • Lee, Dong-Ryul
    • Journal of the Korean Society of Mechanical Technology
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    • v.13 no.4
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    • pp.23-30
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    • 2011
  • 본 연구는 산업용 열교환기 및 상용 파이프의 최적 설계를 위하여 열교환기 내의 사각형 단면 파이프의 shear-thickening 비뉴톤 유체의 압력강하 및 대류 열전달률을 수치해석적으로 수행하였다. shear-thickening 유체의 구성 방정식은 기존의 비뉴톤 유체 멱법칙을 보완한 확장 멱법칙 모델을 채택하였다. 파이프 내의 압력강하를 의미하는 마찰계수와 확장 레이놀즈 수의 곱은 기존 연구의 비교자료와 비교할 때 뉴톤 유체 영역과 멱법칙 영역에서 각각 0.018% 및 0.06% 내에서 일치함을 보였고, 대류 열전달률을 의미하는 뉴셀트 수는 문헌치와 비교할 때 뉴톤 유체 영역과 멱법칙 영역에서 각각 0.025% 및 0.14% 내에서 일치함을 보였다. 비뉴톤 확장 멱법칙 유체 모델의 형태를 띠는 shear-thickening 유체를 열교환기 또는 상용파이프 내의 사각형 단면 파이프 내에서 사용하면 유동지수(n)에 따라서 뉴톤 유체보다 최대 160%의 압력강하를 증가시켰고 최대 14%의 대류 열전달 감소를 발생시킬 수 있었다.

A Study on Velocity Distribution Around Ship Stern by Improved Power Law Flow Model (멱법칙 유동모델의 개선에 의한 선미 유동장내 속도분포 연구)

  • 김시영
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.7
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    • pp.1391-1397
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    • 1992
  • Improved power law flow model was suggested for the calculation of wake flow characteristics around the three dimensional ship stern in case of the formation of bilge vortex in the direction of stern. In comparison with the power law and Coles flow model, the flow velocity calculated based on this study was delayed around the boundary of inner layer and outer layer in reverse flow. More accurate results was obtained with this improved power law flow model by the velocity calculation around ship stern. Accuracy was validated with the comparison of other calculation results and experimental datas.

Pressure Drop Reduction and Heat Transfer Increase with Rheological Fluid Flows in a Circular Conduit (원형 도관 내에서의 유변 유체에 대한 압력손실 감소 및 열전달 증가)

  • Lee, D.R.
    • Journal of Power System Engineering
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    • v.16 no.1
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    • pp.51-57
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    • 2012
  • 본 연구는 컴팩트한 열교환기의 설계를 위하여 열교환기 내의 원형 단면 도관의 유변 유체의 압력 강하 및 대류 열전달률을 수치해석적으로 수행하였다. 유변 유체의 구성방정식은 기존의 비뉴톤 유체 멱법칙을 보완한 수정 멱법칙 모델을 채택하였다. 도관 내의 압력강하를 의미하는 마찰계수와 수정 레이놀즈 수의 곱은 기존 문헌치와 비교할 때 뉴톤 유체 영역과 유변 멱법칙 영역에서 각각 0.01% 및 0.004% 내에서 일치함을 보였고 유변 수정멱법칙 유체 모델의 형태를 띠는 유변 유체를 열교환기 내의 원형 단면 도관 내에서 사용하면 뉴톤 유체보다 최대 58%의 압력강하를 감소시켰고 최대 9%의 대류 열전달 증가을 발생시킬 수 있었다.

Parametric Study in Design of Coat-Hanger Die (옷걸이형 다이의 설계에서 매개 변수의 영향)

  • 이태용
    • The Korean Journal of Rheology
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    • v.10 no.1
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    • pp.38-43
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    • 1998
  • 매니폴로 부분이 선형 경사진 옷걸이형 다이의 최적 설계를 수행하였다. 다이흐름을 3차원 이용하여 해석함으로써 정확한 최적 설계결과를 얻을수 있었으며 형상 최적화 과정을 고찰함으로써 최적 설계도구의 효율성을 조사하였다. 공정의여러 매개변수들이 매니폴드의 형상에 미치는 영향을 조사하기 위하여 멱법칙 유체의 멱법칙 지수, 다이 슬롯의 두께 및 매니폴드 각도를 변화시켜며 최적 설계를 수행하였다.

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Analysis of drainage structure for river basin on the basis of power law distribution (멱함수 법칙분포를 기반으로 한 유역의 배수구조에 대한 해석)

  • Kim, Joo-Cheol;Kang, Heeseung;Jung, Kwansue
    • Journal of Korea Water Resources Association
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    • v.49 no.6
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    • pp.495-507
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    • 2016
  • This study aims at hydrologically demonstrating the universality of power law distribution by analyzing runoff aggregation structures of river basins. Power law distribution is fitted to cumulative drainage area of basins of interest by maximum likelihood, which results in the power law exponents. And then those exponents are assessed in terms of the shape of catchment plan-form. As a main result all of the basins in this study have similar distributions of catchment area. The exponents from this study tend to be higher than the ones from previous researches reflecting self-similar property of the catchment plan-forms of interest. Further study is required about the universality of power law distribution by means of the more realistic flow routing scheme within the framework of DEM.

A Comparative Study on Constitutive Equations of Human Blood (인체혈액의 구성방정식에 관한 비교연구)

  • 서상호
    • The Korean Journal of Rheology
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    • v.6 no.2
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    • pp.157-164
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    • 1994
  • 인체 동맥혈관내 혈액의 유동현상을 수치적으로 해석하기 위해서는 혈액의 유변학 적 성질을 구성방정식으로 나타내어야한다. 본 연구에서는 혈액의 점성계수를 표현하기 위 하여 비뉴턴유체의 점성을 나타내는 식으로서 Carreau 모델, 수정 Cross 모델, 수정 Powell-Eyring 모델과 수정멱법칙모델을 사용하였고 원형관내 혈액의 정상유동을 수치모사 하기 위하여 겉보기점성계수를 이용하는 구성방정식을 운동량방정식에 적용하였다. Carreau 모델과 수정멱법칙모델을 적용할 때 레이놀즈수의 변화가 중심선상의 속도와 길이방향의 압 력변화에 미치는 영향을 고찰하였다. 전단율이 높은영역에서 혈액의 겉보기점성계수를 효과 적으로 나타낼수 있는 수정멱법칙모델을 제시하였다.

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A Study on the Theory of Power-law and Science Technology Policy System under Convergence Technology Environment (융합기술환경에서 멱법칙과 과학기술정책체계분석)

  • Cho, Sang-Sup
    • Journal of Korea Technology Innovation Society
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    • v.15 no.1
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    • pp.28-46
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    • 2012
  • This paper proposes the science and technology policy implications of power law in econophysics methodology under the recent convergence technology environment. Empirical results are summarized as follow: first, similar empirical results are showed up using Hill estimates and Rank-1/2 estimates in patent data set during 1990 through 2008. Second, the estimates of power law exponents for technology capability distribution are decreased during the periods. The policy implications for science and technology development draw from the empirical results. First, the fact that the exponents of power law are decreased show the convergence of technology capability among countries. The our country policy directs focus on the innovation strategy rather than imitation strategy. Second, the volatility of technology change results from a few capable technology developers so that policy direct may need to control the technology power in the large technology developer or company. The methodology and analytical results used in the paper may also be useful for consider for the science and technology phenomena such as convergence and divergence of technologies among countries in the world.

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Analysis of runoff aggregation structure and energy expenditure pattern for Choyang creek basin on the basis of power law distribution (멱함수 법칙분포를 기반으로 한 조양하 유역의 유출응집구조와 에너지소비 양상에 대한 해석)

  • Kim, Joo-Cheol;Cui, Feng Xue;Jung, Kwan Sue
    • Journal of Korea Water Resources Association
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    • v.50 no.11
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    • pp.725-734
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    • 2017
  • The main purpose of this study is to analyze runoff aggregation structure and energy expenditure pattern of Choyang creek basin within the framework of power law distribution. To this end geomorphologic factors of every point in the basin of interest, which define tractive force and stream power as well as drainage area, are extracted based on GIS, and their complementary cumulative distributions are graphically analyzed through fitting them to power law distribution. The results indicate that three distinct behavioral regimes are observed from the complementary cumulative distributions of three geomorphogic factors. Based on the parameter estimation of power law distribution by maximum likelihood drainage area and stream power can be judged as scale invariance factor without finite scale while tractive force as scale dependence factor with finite scale. Furthermore, it is judged that tractive force would not follow power law distribution because it shows limited complex system behaviors only within the small extent of scale. The exponent of power law distribution for drainage area obtained in this study by maximum likelihood is larger than the previous researches due to the difference of parameter estimation methodologies. And the exponent for stream power is smaller than the previous researches due to the scaling property of channel slope for the basin of interest.

Flow and Displacement of Non-Newtonian Fluid(Power-Law Model) by Surface Tension and Gravity Force in Inclined Circular Tube (경사진 원형관에서 표면장력과 중력에 의한 비뉴턴 유체(멱법칙 모델)의 유동 및 변위)

  • Moh, Jeong Hah;Cho, Y.I.
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.38 no.1
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    • pp.9-16
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    • 2014
  • This paper presents the theoretical analysis of a flow driven by surface tension and gravity in an inclined circular tube. A governing equation is developed for describing the displacement of a non-Newtonian fluid(Power-law model) that continuously flows into a circular tube owing to surface tension, which represents a second-order, nonlinear, non-homogeneous, and ordinary differential form. It was found that quantitatively, the theoretical predictions of the governing equation were in excellent agreement with the solutions of the equation for horizontal tubes and the past experimental data. In addition, the predictions compared very well with the results of the force balance equation for steady.

Rheological Characteristics of Kerosene Gel Fuel with SiO2 Gellant Derivatives (SiO2 계열 젤화제에 따른 케로신 젤 연료의 유변학적 특성 연구)

  • Kim, Jaewoo;Jun, Doosung;Kang, Teagon;Jang, Seok Pil;Koo, Jaye;Moon, Heejang
    • Journal of the Korean Society of Propulsion Engineers
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    • v.16 no.6
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    • pp.23-31
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    • 2012
  • Present work deals three families of $SiO_2$ gelling agents which have been used to produce gel fuel based on Kerosene. Jet A-1 is chosen as fuel where power-law rheological model is used to confirm whether or not the gelification is achieved depending on the %wt of gellant. It was confirmed that the produced jelly-like substance have shear-thinning effect, and that its apparent viscosity increases as $SiO_2$ concentration increases. Compared to other gellants, gel with Aerosil(R) R972 fits most to the power-law model, while gels with Silica 230 and Silica 530 deviate from the power-law model. The rheological characteristics behaved differently depending on the mixing method(vortex mixing and manual mixing) when gellant concentration is increased.