• 제목/요약/키워드: Carreau-model

검색결과 36건 처리시간 0.028초

수정멱법칙 비뉴턴유체의 협착관내 유동장해석 (Flow Analysis of the Modified Power-Law Non-Newtonian Fluids in the Stenotic Tubes)

  • 서상호;유상신;장남일
    • 설비공학논문집
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    • 제6권3호
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    • pp.227-236
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    • 1994
  • Steady flows of Newtonian and non-Newtonian fluids in the stenotic tubes with various stenotic shapes are numerically simulated. Validity of the modified power-law model as a constitutive equation for the purely viscous non-Newtonian fluid is discussed and the results of the power-law model are compared with those of the Carreau model, the Powell-Eyring model and experimental data for blood. Flow characteristics and reattachment lengths for non-Newtonian fluids in the stenotic tubes are presented extensively. Also, the analysis is extended to predict the influences of diameter ratio, stenosis spacing, number of stenosis and Reynolds number on the flow characteristics in the multiple stenotic tubes.

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레오로지 소재의 점도측정에 의한 공정해석 및 실험적 평가 (Process Analysis and Experimental Evaluation by the Viscosity Measurement of Rheological Materials)

  • 서판기;강충길
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2002년도 춘계학술대회 논문집
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    • pp.70-73
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    • 2002
  • Using a simple compression test, the viscosity measurement experiment is carried out with the grain-refined Al-Si alloy(A356). The measured rheological data are expressed with power-law(Ostwald-de Waele) model and using commercial package, MAGMAsoft, coefficients of Ostwald-de Waele model and Carreau-Yasuda model are calculated. To verify the viscosity data, the die is designed to be applicable to the semi-solid die casting of automotive component and filling test is carried out. The filling test and the simulation result are compared and in good agreement. Hereafter, these data are considered to be usefully allied other product in the semi-solid die casting.

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폴리에틸렌옥사이드 수용액의 정상유동 특성 (Steady Shear Flow Properties of Aqueous Poly(Ethylene Oxide) Solutions)

  • 송기원;김태훈;장갑식;안승국;이장우;이치호
    • Journal of Pharmaceutical Investigation
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    • 제29권3호
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    • pp.193-203
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    • 1999
  • In order to investigate systematically the steady shear flow properties of aqueous po1y(ethylene oxide) (PEO) solutions having various molecular weights and concentrations, the steady flow viscosity has been measured with a Rheometrics Fluids Spectrometer (RFS II) over a wide range of shear rates. The effects of shear rate, concentration, and molecular weight on the steady shear flow properties were reported in detail from the experimentally measured data, and then the results were interpreted using the concept of a material characteristic time. In addition, some flow models describing the non-Newtonian behavior (shear-thinning characteristics) of polymeric liquids were employed to make a quantitative evaluation of the steady flow behavior, and the applicability of these models was examined by calculating the various material parameters. Main results obtained from this study can be summarized as follows: (1) At low shear rates, aqueous PEO solutions show a Newtonian viscous behavior which is independent of shear rate. At shear rate region higher than a critical shear rate, however, they exhibit a shear-thinning behavior, demonstrating a decrease in steady flow viscosity with increasing shear rate. (2) As an increase in concentration and/or molecular weight, the zero-shear viscosity is increased while the Newtonian viscous region becomes narrower. Moreover, the critical shear rate at which the transition from the Newtonian to shear-thinning behavior occurs is decreased, and the shear-thinning nature becomes more remarkable. (3) Aqueous PEO solutions show a Newtonian viscous behavior at shear rate range lower than the inverse value of a characteristic time $1/{\lambda}_E$, while they exhibit a shear-thinning behavior at shear rate range higher than $1/{\lambda}_E$. For aqueous PEO solutions having a broad molecular weight distribution, the inverse value of a characteristic time is not quantitatively equivalent to the critical shear rate, but the power-law relationship holds between the two quantities. (4) The Cross, Carreau, and Carreau-Yasuda models are all applicable to describe the steady flow behavior of aqueous PEO solutions. Among these models, the Carreau-Yasuda model has the best validity.

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Optimum shape and process design of single rotor equipment for its mixing performance using finite volume method

  • Kim, Nak-Soo;Lee, Jae-Yeol
    • Korea-Australia Rheology Journal
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    • 제21권4호
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    • pp.289-297
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    • 2009
  • We numerically analyzed flow characteristics of the polymer melt in the screw equipment using a proper modeling and investigated design parameters which have influence on the mixing performance as the capability of the screw equipment. We considered the non-Newtonian and non-isothermal flow in a single rotor equipment to investigate the mixing performance with respect to screw dimensions as shape parameter of the single rotor equipment and screw speed as process parameter. We used Bird-Carreau-Yasuda model as a viscous model of the polymer melt and the particle tracking method to investigate the mixing performance in the screw equipment and considered four mixing performance indexes: residence time distribution, deformation rate, total strain and particle standard deviation as a new mixing performance index. We compared these indexes to determine design parameters and object function. On basis of the analysis results, we carried out the optimal design by using the response surface method and design of experiments. In conclusion, the differences of results between the optimal value and numerical analysis are about 5.0%.

유변학적 물성을 이용한 폴리프로필렌의 분자량과 분자량 분포를 결정하는 방법 (Determination of Molecular Weight and Molecular Weight Distribution of Polypropylene Using Rheological Properties)

  • 이영실;윤관한
    • 폴리머
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    • 제38권6호
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    • pp.735-743
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    • 2014
  • 폴리프로필렌의 분자량 및 분자량 분포를 예측하기 위해 레오메터, 고유점도측정기 및 MI(melt index) 기기 등을 이용하여 유변 물성을 측정하였고, 분자구조해석에는 GPC가 사용되었다. 기존에 사용되어온 동적진동측정을 이용한 교차 모듈러스에서 결정된 유변학적 PI(다분산 지표)와 변형된 Carreau 모델을 이용하여 계산된 분포 폭 매개변수(distribution broadness parameter)를 분자량 분포와의 관계를 비교해보았다. 유변학적 PI의 경우 이론적 근거가 부족하고, 압출에 의해 재 생성된 폴리프로필렌 시료에 대해서는 분자량 분포와 잘 일치하지만 반응기에서 중합된 시료 즉, 분자량 분포가 넓거나 다른 경우 잘 일치하지 않는다는 보고가 지배적인데 비해 분포 폭 매개변수는 폴리프로필렌의 전단담화의 정도를 직접적으로 측정하는 것으로 분자량 분포를 잘 예측할 수 있음을 알았다.

Computer Simulation for Die Filling Behavior of Semi-Solid Slurry of Mg Alloy

  • Lee, Dock-Young;Moon, Jung-Hwa;Seok, Hyun-Kwang;Kim, Sung-Bin;Kim, Ki-Bae
    • 한국주조공학회지
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    • 제27권1호
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    • pp.31-35
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    • 2007
  • 본 연구에서는 Mg합금의 반응고성형 공정기술을 개발하기 위하여 여러 가지 전단속도와 냉각속도에 따른 Mg합금의 점도와 딕소트러픽 거동을 분석하였으며, 이를 전산모사연구와 비교 검토하였다. 전산모사연구에서는 미세조직과 공정변수를 고려한 반응고 슬러리의 유변학적 거동을 분석하였다. 반응고 온도영역에서의 Mg합금(AZ91D) 슬러리의 점도는 고상율에 따라 지수함수적으로 증가하였으며, 전단속도가 증가하면 감소하는 경향을 나타났다. Mg합금 슬러리의 유변학적 거동을 정확하게 분석하기 위하여 Carreau 모델을 사용하여 ANYCAST 프로그램에서 고압다이캐스팅용 금형으로의 Mg합금 반응고 슬러리의 충진거동을 모사하였다. 전산모사된 결과는 동일한 조건에서의 실제 실험결과와 잘 일치하였다.

Numerical investigation on the blood flow characteristics considering the axial rotation in stenosed artery

  • Sung, Kun-Hyuk;Ro, Kyoung-Chul;Ryou, Hong-Sun
    • Korea-Australia Rheology Journal
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    • 제21권2호
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    • pp.119-126
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    • 2009
  • A numerical analysis is performed to investigate the effect of rotation on the blood flow characteristics with four different angular velocities. The artery has a cylindrical shape with 50% stenosis rate symmetrically distributed at the middle. Blood flow is considered a non-Newtonian fluid. Using the Carreau model, we apply the pulsatile velocity profile at the inlet boundary. The period of the heart beat is one second. In comparison with no-rotation case, the flow recirculation zone (FRZ) contracts and its duration is reduced in axially rotating artery. Also wall shear stress is larger after the FRZ disappears. Although the geometry of artery is axisymmetry, the spiral wave and asymmetric flow occur clearly at the small rotation rate. It is caused that the flow is influenced by the effects of the rotation and the stenosis at same time.

경동맥 혈류유동에서의 혈액의 비뉴우토니안 특성의 상대적 중요성 해석 (THE RELATIVE IMPORTANCE OF NON-NEWTONIAN CHARACTERISTICS OF BLOOD IN THE HEMODYNAMICS OF THE CAROTID BIFURCATION)

  • 이상욱
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2008년도 학술대회
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    • pp.181-185
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    • 2008
  • In this study, we attempted to quantify the relative importance of assumptions regarding blood rheology. Three patient-specific carotid bifurcation geometries and time-varying flow rates were obtained using magnetic resonance imaging. For each subject, CFD simulations were carried out assuming two different non-Newtonian rheology models Carreau and Ballyk models) and rescaled Newtonian viscosities based on characteristic shear rates to account for the shear-thinning property of blood. The sensitivity of WSS and oscillatory shear index (OSI) were contextualized with respect to the reproducibility of the reconstructed geometry and to assumptions regarding the inlet boundary conditions. We conclude that the assumption of Newtonian fluid is reasonable for studies aimed at quantifying the distribution of WSS-based extrema in an image-based CFD model of carotid bifurcation.

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협착이 발생된 관상동맥내 시퀜셜 문합의 효과 (Sequential Bypass Effects in the Stenosed Coronary Artery)

  • 노형운;서상호;권혁문;이병권
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 춘계학술대회
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    • pp.1919-1922
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    • 2003
  • Bypass anastomosis are frequently adopted for surgical treatments. After the bypass grafting, the bypass artery is often occluded due to restenosis and/or anastomotic neointimal fibrous hyperplasia phenomena. Optimal coronary bypass anastomosis should be investigated to improve the patency for the arterial bypass techniques. The objective of this study is to investigate the influence of bypass with sequential bypass effects in the stenosed coronary artery. Numerical analyses are focused on the understanding of the flow patterns for different sequential anastomosis techniques. Blood flow field is treated as two-dimensional incompressible laminar flow. The finite volume method is adopted for discretization of the governing equations. The Carreau model is employed as the constitutive equation for blood. To find the optimal sequential bypass anastomotic configurations, the mass flow rates at the outlet of different models are compared quantitatively.

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경동맥 혈류유동에서의 혈액의 비뉴우토니안 특성의 상대적 중요성 해석 (THE RELATIVE IMPORTANCE OF NON-NEWTONIAN CHARACTERISTICS OF BLOOD IN THE HEMODYNAMICS OF THE CAROTID BIFURCATION)

  • 이상욱
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2008년 추계학술대회논문집
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    • pp.181-185
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    • 2008
  • In this study, we attempted to quantify the relative importance of assumptions regarding blood rheology. Three patient-specific carotid bifurcation geometries and time-varying flow rates were obtained using magnetic resonance imaging. For each subject, CFD simulations were carried out assuming two different non-Newtonian rheology models (Carreau and Ballyk models) and rescaled Newtonian viscosities based on characteristic shear rates to account for the shear-thinning property of blood. The sensitivity of WSS and oscillatory shear index (OSI) were contextualized with respect to the reproducibility of the reconstructed geometry and to assumptions regarding the inlet boundary conditions. We conclude that the assumption of Newtonian fluid is reasonable for studies aimed at quantifying the distribution of WSS-based extrema in an image-based CFD model of carotid bifurcation.

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