• Transactions of the Korean Society of Mechanical Engineers B
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• v.22 no.12
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• pp.1784-1795
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• 1998

Natural convection of low Prandtl number fluids with $Pr{\leq}0.2$ in a narrow horizontal annulus is numerically investigated. For $Pr{\leq}0.2$, hydrodynamic instability induces oscillatory multicellular flows consisting of multiple like-rotating cells. For a fluid with $Pr{\approx}0$, the region in which instability of conduction regime first forms is near the vertical section of annulus, and the multiple cells are distributed uniformly in the lower and upper regions of annulus. As Pr increases, however, the cells are shifted upwards. The like-rotating cells drift downward, as time goes on, and the speed of travel increases with increase of Pr. For a fluid with Pr=0.1, a flow with period-4 solution is observed between chaotic states.

• Proceedings of the KSME Conference
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• 2008.11b
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• pp.2248-2253
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• 2008

A numerical study on oscillatory thermocapillary flow in half-zone has performed to understand the effect of axial rotation. 2d unsteady code is developed to observe the onset of oscillation. 2cs Silicone oil with Prandtl number of 26.5 is used as a working fluid. The critical temperature difference at onset of oscillation is investigated under the different aspect ratios and rotation modes. It is shown that the onset of oscillation is delayed when aspect ratio reduces and rotating speed increases. The oscillatory flow is strongly reduced under top rotation and co-rotation modes, while it is augmented under bottom rotation and counter-rotation modes. It is thought that interaction between return flow and bottom wall is important to explain the oscillatory flow.

• Proceedings of the KSME Conference
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• 2008.11b
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• pp.2131-2136
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• 2008

The characteristics of heat transfer and pressure drop in an offset strip fin heat exchanger was studied with a steady-state three dimensional numerical model. Flow Reynolds number $Re_{dh}$ ranged from 10 to 3500 and Prandtl number Pr ranged from 0.7 to 50. The dimensionless performance factors, i.e. 'the pumping power factor F' and 'the heat transfer performance factor J' were analyzed and obtained a relationship between them. Finally, the prediction of F and J factors was generalized for different Prandtl numbers.

• Journal of Energy Engineering
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• v.10 no.2
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• pp.161-165
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• 2001

봉다발 내 온도장 해석을 위해 개발되어진 난류 Prand시 수 모델들을 중심으로 액체금속에 대한 비교연구를 수행하였다. VANTACY-II 코드에 사용된 Zeggel & Monir의 모델의 기초가 된 Jischa & Rieke 모델 및 상수형 모델(Pr$_{t}$=0.9)을 비교대상 모델로 선정하여 난류 Prandtl 수의 비등방성과 공간분포 및 분자 Prandtl 수의 영향을 고려한 본 연구모델과 P/D와 Peclet 수를 변화시키며 얻어진 Nusselt 수의 결과를 비교하였다. 비교결과 본 모델이 다른 모델에 비하여 봉다발 내 액체금속의 열전달 거동을 전반적으로 잘 예측하였다.

• Proceedings of the Korea Water Resources Association Conference
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• 2011.05a
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• pp.134-134
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• 2011

3차원 난류 부력젵의 혼합을 큰 와 모의(large-eddy simulation) 기법을 이용하여 수치모의 한다. 개발된 수치모형은 3차원 열동수역학 모형을 이용하여 부력젵의 퍼짐, 자기 보존 그리고 주변류의 연행 등을 포함하는 난류젵의 동적 특성을 분석할 수 있다. 수치해석에서 하부격자규모 (subgrid scale, SGS) 난류 응력은 부력항을 수정한 Smagorinsky 모형을 이용한다. 여과된 엔탈피 수송방정식에서 하부격자규모의 스칼라 플럭스는 상수의 SGS Prandtl 수를 가지는 단순 경사수송 가설에 근거하여 모의한다. 계산된 결과를 실험결과와 비교하며, 결과는 양호하게 일치함을 보여준다. 계산결과에 따르면 부력항의 수정이나 SGS 난류 Prandtl 수는 결과에 큰 영향을 미치지 않지만 SGS 모형 상수인 Cs 값은 부력젵 확산 예측에 중요한 영향을 미치는 것으로 나타났다.

• Proceedings of the Korean Nuclear Society Conference
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• 1998.05a
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• pp.520-525
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• 1998

난류혼합율에 대한 예측은 원자로의 노심 열수력 설계에 있어 매우 중요한 일이다. 봉다발 구조에서 난류혼합의 주요 원인으로 지목되고 있는 유동액동(flow pulsation) 현상에 대한 척도평가(scale analysis)틀 통해 봉다발 유동장을 흐르는 저 Prandtl 수 유채에 대판 난류혼합율 평가식을 유도하였다. 난류혼합에 기여하는 인자가 분자운동, 등방성 난류운동(유동맥동 효과률 배제한 난류운동), 그리고 유동맥동의 세 부분으로 구성되어 있다고 가정하고, 각각에 대한 길이 및 속도척도를 평가하여 난류혼합율을 유도하였다. 평가식에는 P/D, Re수 P${\gamma}$ 수 등의 인자가 고려되어 있어 다양한 기하학적, 수력학적 조건과 유체의 물리적 특성이 반영되어 있다. 유도원 난류혼합율 평가식을 실험 상관식과 비교하였으며, 비교 결과 만족스러운 것으로 나타났다.

• Journal of the Korean Society for Aeronautical & Space Sciences
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• v.30 no.2
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• pp.30-38
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• 2002

The monotonic characteristics of AUSM-type shemes are proven by mathmatics and numerics. Qualitatively well-known characteristics are quantified by mathematics and the magnitude of oscillatory behaviors of each schemes could be compared directly. Moreover, it is also studied how the sonic transition position affects the oscillation in capturing the shocks. Lastly M-AUSMPW+, the latest improved AUSM-type scheme, is shown to have monotonic characeristics though all shock conditions.

• Journal of the Korean Geotechnical Society
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• v.27 no.5
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• pp.45-59
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• 2011

This study introduces the diagrammatic Upper and Lower Bound (UB and LB) methods theoretically in order to derive the bearing capacity factor, $N_c$ in undrained clay and to compare with Prandtl's exact solution (1921). As a result of the theoretical study, an exact solution comes out when the UB and LB solutions are the same. In addition, the finite element analyses show that the failure loads approach to the bearing capacity factor of 5.14. Results of the FEA significantly depend on the finite element type, a number of elements, and a number of increments. From this study the exact solution defines that solutions from UB and LB are the same. However, this situation is very difficult to process, so we can confirm the exact solution as a range between UB and LB solutions.

• Proceedings of the Korean Nuclear Society Conference
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• 1999.10a
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• pp.149.1-149
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• 1999

• Journal of Korea Water Resources Association
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• v.30 no.1
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• pp.3-13
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• 1997

Modifications of Prandtl's mixing length theory were used to obtain a power velocity distribution in which the coefficient and exponent are variable over a range from 1/4 to 1/7. A simple suspended-sediment concentration distribution was developed which can be associated with this modified velocity distribution. Using nominal values of ${\beta}$=1.0, $\kappa$=0.4 and visual accumulation tube values of fall velocity, the comparison between theory and field measurements by the USGS on the Rio Grande is fair. Doubling the value of the exponent results in a good comparison. Further research is needed to be able to better choose ${\beta}$, $\kappa$, and fall velocity values, but such research will not be able to account for the effects of large-scale turbulence and secondary flows. In a pragmatic sense, a special set of fairly detailed measurements can establish coefficients and exponents for any gaging site.