• 제목/요약/키워드: Biot number

검색결과 60건 처리시간 0.027초

삼각휜 열전달의 수치해석 (Numerical Analysis in Heat Transfer of a Triangular Fin)

  • 전상명;권영필
    • 대한설비공학회지:설비저널
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    • 제11권3호
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    • pp.52-57
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    • 1982
  • One-dimensional approximation for fin problems is widely used in current texts and industrial practice. The errors caused by this approximation is analysed for a longitudinal triangular fin by the numerical solution of two-dimensional fin equation. Two-dimensional solution is obtained by the finite element method and com pared with the one-dimensional esact solution. The results show that total heat transfer and fin efficiency are overestimated by the one-dimensional approximation. The factors which cause these errors are the Biot number (Bi) and the ratio of fin length to half the thickness (L/a). When Bi is smaller than 1.0 these errors are smaller than $10\%$, but when Bi is larger than 5.0 they are a few ten percents. Fin efficiency obtaned by one-dimensional and long fin assumption is valid only then Bi is small and L/a is large.

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熱平衡積分法에 의한 有限 Strip에서의 2次元 過渡熱傳導 問題의 解析 (Analysis of Two-Dimensional Transient Heat Conduction Problems in a Finite Strip by the Heat Balance Integral Method)

  • 서정일;조진호;조종철
    • 대한기계학회논문집
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    • 제7권4호
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    • pp.417-424
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    • 1983
  • This paper presents two methods of obtaining approximate analytic solutions for the temperature distributions and heat flow to two-dimensional transient heat conduction problems in a finite strip with constant thermal properties using the Heat Balance Integral. The methods introduced in this study are as follows; one using the Heat Balance Integral only, and the other successively using the Heat Balance Integral and an exact analytic method. Both methods are applicable to a large number of the two-dimensional unsteady conduction problems in finite regions such as extended surfaces with uniform thickness, but in this paper only solutions for the unsteady problems in a finite strip with boundary condition at the base expressed in terms of step function are provided as an illustration. Results obtained by both methods are compared with those by the exact two-dimensional transient analysis. It is found that both approximate methods generate small time solutions, which can not be obtained easily by any exact analytic method for small values of Fourier numbers. In the case of applying the successive use of the Heat Balance Integral and Laplace transforms, the analysis shows good agreement with the exact solutions for any Fourier number in the range of Biot numbers less than 0.5.

NUMERICAL ANALYSIS ON THE NATURAL CONVECTION IN A LONG HORIZONTAL PIPE WITH THERMAL STRATIFICATION

  • Ahn, Jang-Sun;Park, Byeong-Ho;Kim, Seoug-Beom;Kim, Eun-Kee;Park, Man-Heung
    • 한국원자력학회:학술대회논문집
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    • 한국원자력학회 1996년도 춘계학술발표회논문집(2)
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    • pp.95-101
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    • 1996
  • In this paper, the steady 2-dimensional model for a long horizontal line with different end temperatures undergoing natural convection at very high Rayleigh number is proposed to numerically investigate the heat transfer and flow characteristics. The dimensionless governing equations are solved by using SIMPLE (Semi-Implicit Method for Pressure Linked Equations) algorithm which is developed using control volumes and staggered grids. The numerical results are verified by comparison with the operating PWR test data. The analysis focuses on the effects of variation of the heat transfer rates at the pipe surface, the thermal conductivities of the pipe material and the thickness of the pipe wall on the thermal stratification. The results show that the heat transfer rate at the pipe surface is the controlling parameter. A significant reduction and disappearance of thermal stratification phenomenon is observed at the Biot number of 5.0$\times$10$^{-2}$. The results also show that the increment of the thermal conductivity and thickness of the wall weakens the thermal stratification and somewhat reduces azimuthal temperature gradient in the pipe wall. Those effects are however minor, when compared with those due to the variation of the heat transfer rates at the surface of the pipe wall.

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Evaluation of Thermal Stratification Effect in a Long Horizontal Pipeline with Turbulent Natural Convection

  • Park, Man-Heung;Ahn, Jang-Sun;Nam, Seung-Deog
    • Nuclear Engineering and Technology
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    • 제30권6호
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    • pp.581-591
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    • 1998
  • Numerical analysis was peformed for the two-dimensional turbulent natural convection for a long horizontal line with different end temperatures. The turbulent model has been applied a standard k-$\varepsilon$ two equation model of turbulence similar to that the proposed by the Launder and Spalding. The dimensionless governing equations are solved by using SIMPLE (Semi-Implicit Method for Pressure Linked Equations) algorithm which is developed using control volumes and staggered grids. The numerical results are verified by comparison with the operating PWR test data. The analysis focuses on the effects of variation of the heat transfer rates at the pipe surface, the thermal conductivities of the pipe material and the thickness of the pipe wall on the thermal stratification. The results show that the heat transfer rate at the pipe surface is the controlling parameter for mitigating of thermal stratification in the long horizontal pipe. A significant reduction and disappearance of the thermal stratification phenomenon is observed at the Biot number of 4.82$\times$10$^{-1}$ . The results also show that the increment of the thermal conductivity and thickness of the wall weakens a little the thermal stratification and somewhat reduces temperature gradient of y-direction in the pipe wall. These effects are however minor, when compared with those due to the variation of the heat transfer rates at the surface of the pipe wall.

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주파수에 따른 감쇠계수 변화량을 이용한 해저 퇴적물 특징 추출 알고리즘 (Seabed Sediment Feature Extraction Algorithm using Attenuation Coefficient Variation According to Frequency)

  • 이기배;김주호;이종현;배진호;이재일;조정홍
    • 전자공학회논문지
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    • 제54권1호
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    • pp.111-120
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    • 2017
  • 본 논문에서는 해저 퇴적물 분류를 위한 특징 추출 기법을 제안하고 검증한다. 기존 연구에서는 주파수의 영향이 없는 반사계수를 이용하여 퇴적물을 분류해 왔다. 그러나 해저 퇴적물의 음향 감쇠계수는 주파수의 함수이며 퇴적 성분에 따라 서로 다른 특성을 나타낸다. 따라서 주파수에 따른 감쇠계수 변화량을 이용하여 특징벡터를 생성하였다. 감쇠계수 변화량은 Chirp 신호에 의해 생성된 두 번째 층 반사신호를 이용하여 추정한다. Chirp 신호의 다중대역 특징이 다차원 벡터를 형성하기 때문에 기존의 방법에 비해 우수한 특성을 갖는다. 반사계수에 의한 분류 성능과 비교하기 위해 선형 판별 분석법 (LDA, Linear Discriminant Analysis)를 이용하여 차원을 축소하였다. Biot 모델을 이용하여 모의실험 환경을 구축하고 Fisher score와 MLD(Maximum Likelihood Decision)를 기반의 분류 정확도를 이용해 제안된 특징을 평가하였다. 그 결과, 제안된 특징은 반사계수에 비해 높은 변별력을 보이며, 측정 및 깊이 추정오차에도 강인한 특성을 보였다.

충전층에서 탄소에 고정시킨 Tyrosinase의 반응속도에 관한 연구 (Kinetic Behavior of Immobilized Tyrosinase on Carbon in a Simulated Packed-Bed Reactor)

  • 신선경;김교근
    • 분석과학
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    • 제10권1호
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    • pp.66-74
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    • 1997
  • 지름 2.54cm, 길이 10cm인 유리관에 tyrosinase(EC. 1.14.18.1)를 입자의 크기 $550{\mu}m$인 탄소에 고정시켜 충진하고, 페놀과 산소를 기질로 사용하여 tyrosinase의 반응 특성을 조사하기 위해 axial dispersion 모델을 제안하였다. 본 논문에서 페놀의 농도는 55.5mM로 고정시키고 산소(2.7ppm, 5.4ppm, 그리고 9.5ppm)와 유속 (1~3mL/s)을 변화시키면서 탄소에 고정된 tyrosinase의 반응을 관찰하였다. 또한, Damkolher수를 계산하고 분산 특성과 식으로부터 효소반응 속도 및 분산의 영향을 예측하기 위해 수치적 해석을 하였다. 연구 결과 물질저항은 주로 외부 전달과 내부확산이었으며, 제안된 모델에서 Biot수는 64.25였다. 페놀은 1.0mL/s 정도의 느린 속도에서 산소의 농도가 높을수록 높은 전환율을 나타내었다. 한편, axial dispersion 모델과 plug flow 모델의 비교에서는 모두 같은 전환율을 나타내어 axial dispersion 모델이 반응속도와 무관함을 알 수 있었다.

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은행 껍질 기반 활성탄의 메틸오렌지 흡착 특성 (Adsorption Characteristics of Methyl Orange on Ginkgo Shell-Based Activated Carbon)

  • 이정문;이은지;심왕근
    • 공업화학
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    • 제33권6호
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    • pp.636-645
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    • 2022
  • 이 연구에서는 은행껍질기반 활성탄으로 음이온성 염료인 메틸오렌지(MO)의 흡착 특성을 조사하였다. 이를 위해 은행껍질과 대표적인 화학활성화제인 수산화칼륨(KOH)을 이용하여 서로 다른 기공 특성을 지닌 다공성 활성탄(GS-1, GS-2, GS-4)을 제조하였다. 제조한 활성탄의 구조적 특성값과 KOH 혼합비율과의 상관관계는 질소 흡/탈착등온선으로 조사하였다. 활성탄에 대한 MO 흡착 평형 실험은 서로 다른 pH (pH 3~11) 및 온도(298~318 K) 조건에서 실시하였으며 그 결과를 Langmuir, Freundlich, Sips 및 온도 의존 Sips식으로 살펴보았다. 그리고 Langmuir 무차원 분리계수값으로 제조한 활성탄의 MO 흡착처리공정의 타당성을 조사하였다. 흡착에너지분포함수(AED)로 비교 분석한 활성탄에 대한 MO의 불균일 흡착 특성은 온도와 활성탄의 구조적 특성과 밀접한 관련이 있었다. 서로 다른 온도에서 수행한 회분식 흡착 속도 실험 결과는 외부물질전달, 입자 내 확산 및 활성사이트의 흡착을 고려한 균일표면확산모델(HSDM)로 만족스럽게 설명할 수 있었다. 또한 표면확산계수값을 Arrhenius 플롯으로 나타내어 구한 활성화에너지와 흡착에너지분포 함수값과의 상관관계를 살펴보았다. 그리고 Biot 수를 이용하여 제조한 활성탄에 대한 MO의 흡착 공정 메커니즘을 평가하였다.

Subsidence estimation of breakwater built on loosely deposited sandy seabed foundation: Elastic model or elasto-plastic model

  • Shen, Jianhua;Wu, Huaicheng;Zhang, Yuting
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제9권4호
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    • pp.418-428
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    • 2017
  • In offshore area, newly deposited Quaternary loose seabed soils are widely distributed. There are a great number of offshore structures has been built on them in the past, or will be built on them in the future due to the fact that there would be no very dense seabed soil foundation could be chosen at planed sites sometimes. However, loosely deposited seabed foundation would bring great risk to the service ability of offshore structures after construction. Currently, the understanding on wave-induced liquefaction mechanism in loose seabed foundation has been greatly improved; however, the recognition on the consolidation characteristics and settlement estimation of loose seabed foundation under offshore structures is still limited. In this study, taking a semi-coupled numerical model FSSI-CAS 2D as the tool, the consolidation and settlement of loosely deposited sandy seabed foundation under an offshore breakwater is investigated. The advanced soil constitutive model Pastor-Zienkiewics Mark III (PZIII) is used to describe the quasi-static behavior of loose sandy seabed soil. The computational results show that PZIII model is capable of being used for settlement estimation problem of loosely deposited sandy seabed foundation. For loose sandy seabed foundation, elastic deformation is the dominant component in consolidation process. It is suggested that general elastic model is acceptable for subsidence estimation of offshore structures on loose seabed foundation; however, Young's modulus E must be dependent on the confining effective stress, rather than a constant in computation.

수분 제거를 위한 식물세포 Taxus chinensis의 마이크로웨이브를 이용한 건조 특성 (Characteristics of Microwave-Assisted Drying of Plant Cells of Taxus chinensis for Moisture Removal)

  • 남현우;김진현
    • 공업화학
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    • 제31권2호
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    • pp.208-214
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    • 2020
  • 본 연구에서는 식물세포 Taxus chinensis로부터 수분 제거를 통한 바이오매스 보관 및 추출 효율 향상을 위하여, 마이크로웨이브를 이용한 건조의 특성 및 메커니즘을 조사하였다. 마이크로웨이브 파워가 100, 200, 300 W로 증가함에 따라 수분의 제거 효율은 증가하였다. 실험 데이터를 대표적 동역학적 건조 모델에 적용할 때, Page 모델과 modified Page 모델이 가장 적합한 것으로 결정되었다. 열역학적 파라미터는 마이크로웨이브를 이용한 건조의 자발적 및 흡열특성을 나타내었으며, 건조 과정에서 무질서도는 증가함을 알 수 있었다. 마이크로웨이브 파워(100~300 W)가 증가함에 따라 수분의 유효확산계수(3.445 × 10-9~7.163 × 10-7 ㎡/s) 및 대류물질전달계수(3.1529 × 10-5~1.2895 × 10-2 m/s)가 증가하였다. 작은 비오트 수(0.3890~0.7198)를 고려할 때, Taxus chinensis의 건조 진행은 외부 확산에 의해 조절됨을 알 수 있었다.

Effects of macroporosity and double porosity on noise control of acoustic cavity

  • Sujatha, C.;Kore, Shantanu S.
    • Advances in aircraft and spacecraft science
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    • 제3권3호
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    • pp.351-366
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    • 2016
  • Macroperforations improve the sound absorption performance of porous materials in acoustic cavities and in waveguides. In an acoustic cavity, enhanced noise reduction is achieved using porous materials having macroperforations. Double porosity materials are obtained by filling these macroperforations with different poroelastic materials having distinct physical properties. The locations of macroperforations in porous layers can be chosen based on cavity mode shapes. In this paper, the effect of variation of macroporosity and double porosity in porous materials on noise reduction in an acoustic cavity is presented. This analysis is done keeping each perforation size constant. Macroporosity of a porous material is the fraction of area covered by macro holes over the entire porous layer. The number of macroperforations decides macroporosity value. The system under investigation is an acoustic cavity having a layer of poroelastic material rigidly attached on one side and excited by an internal point source. The overall sound pressure level (SPL) inside the cavity coupled with porous layer is calculated using mixed displacement-pressure finite element formulation based on Biot-Allard theory. A 32 node, cubic polynomial brick element is used for discretization of both the cavity and the porous layer. The overall SPL in the cavity lined with porous layer is calculated for various macroporosities ranging from 0.05 to 0.4. The results show that variation in macroporosity of the porous layer affects the overall SPL inside the cavity. This variation in macroporosity is based on the cavity mode shapes. The optimum range of macroporosities in poroelastic layer is determined from this analysis. Next, SPL is calculated considering periodic and nodal line based optimum macroporosity. The corresponding results show that locations of macroperforations based on mode shapes of the acoustic cavity yield better noise reduction compared to those based on nodal lines or periodic macroperforations in poroelastic material layer. Finally, the effectiveness of double porosity materials in terms of overall sound pressure level, compared to equivolume double layer poroelastic materials is investigated; for this the double porosity material is obtained by filling the macroperforations based on mode shapes of the acoustic cavity.