• 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.

• 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.

• 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.

• Korean Journal of Air-Conditioning and Refrigeration Engineering
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• v.6 no.3
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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.

• Proceedings of the Korean Society of Rheology Conference
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• 2000.05a
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• pp.74-83
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• 2000

• Journal of Power System Engineering
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• v.13 no.2
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• pp.30-35
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• 2009

Numerical Calculations for dimensionless pressure drop (friction factor times Reynolds number) have been obtained for fully developed laminar flow of MPL(Modified Power Law) fluid in isosceles triangle pipes. The solutions are valid for Pseudoplastic fluids over a wide range from Newtonian behavior at low shear rates through transition region to power law behavior at higher shear rates. The analysis identified a dimensionless shear rate parameter which for a given set of operating conditions specifies where in the shear rate range a particular system is operating, i.e., Newtonian, transition or power law region. The numerical calculation data of the dimensionless pressure drop for the Newtonian and power law regions are compared with previously published asymptotic results presenting within 0.16 % in Newtonian region and 2.98 % in power law region.

• The Journal of Engineering Geology
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• v.17 no.3
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• pp.483-494
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• 2007

The properties of fracture system on road-cut slopes along the Busan-Ulsan express way under construction are investigated and analyzed. Fracture spacing distributions show log-normal form with extension fractures and negative exponential form with shear fractures. Straight line segments in log-log plots of cumulative fracture length indicate a power-law scaling with exponents of -1.13 in site 1, -1.01 in site 2 and -1.52 in site 3. It is likely that the stability and strength of rock mass are the lowest in site 1 as judged from the analyses of spacing, density and inter-section of fractures in three sites. In contrast, the highest efficiency of the fracture network for conducting fluid flow is seen in site 3 where the largest cluster occupies 73% through the window map. Based on the field survey data, this study modified weighting values of the RMR system using a multiple regression analysis method. The analysis result suggests a modified weighting values of the RMR parameters as follows; 18 for the intact strength of rock; 61 for RQD; 2 for spacing of discontinuities; 2 for the condition of discontinuities; and 17 for ground water.

• The Korean Journal of Rheology
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• v.7 no.2
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• pp.150-157
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• 1995

본 논문의 목적은 협착이 발생괸 원관과 분기관내 혈액과 혈액대용유체의 유동문제 에 수치해석방법을 적용하여 유동특성을 파악하는데 있다. 혈액대용유체로서는 Separan AP-273 500wppm 수용액과 Carpobol 934 1.0w% 수용액을 사용하였다. Carbopol 수용액의 유변학적 성질은 수정멱법칙모델, 그리고 혈액과 Separan 수용액의 유변학적 성질은 Carreau 모델로 나타내었다. 협착관유동에서 Carbopol 수용액의 재부착거리는 혈액이나 Separan 수용액의 경우보다 길고 협착으로 인한 압력강하는 Carbopol 수용액, 혈액, Separan 수용액의 순으로 작게 나타난다. 분기관유동에서 Separan 수용액의 압력손실은 혈 액과 Carbopol 수용액보다 작게 나탄나고 협착이 발생괸 부기관내에서 혈액과 Separan 수 용액의 압력손실은 협착이 없는 분기관의 압력손실보다 크게 증가한다.

• Transactions of the Korean Society of Mechanical Engineers B
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• v.20 no.5
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• pp.1603-1612
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• 1996

The pressure loss coefficient of Newtonian and non-Newtonian fluids such as water, aqueous solutions of Carbopol-934 and Separan AP-273 and blood in the stenotic tubes are determined experimentally and numerically. The numerical analyses for flows of non-Newtonian fluids in the stenotic tubes are conducted by the finite element method. The effect of the contraction ratio and the ratio of length to diameter on the pressure drop are investigated by the experiments and numerical analysis. The pressure loss coefficients are significantly dependent upon the Reynolds number in the laminar flow regime. As Reynolds number increases, the pressure loss coefficients of both Newtonian and non-Newtonian fluids decrease in the laminar flow regime. As the ratio of length to diameter increases the maximum pressure loss coefficient increases in the laminar flow regime for both Newtonian and non-Newtonian fluids. Newtonian fuid shows the highest values of pressure loss coefficient and blood the next, followed by Carbopol solution and Separan solution in order. Experimental results are used to verify the numerical analyses for flows of Newtonian and non-Newtonian fluids. Numerical results for the maximum pressure loss coefficient in the stenotic tubes are in fairly good agreement with the experimental results. The relative differences between the numerical and experimental results of the pressure loss coefficients in the laminar flow regime range from 0.5% to 14.8%.