• Title/Summary/Keyword: 1-dimensional heat analysis

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

  • Chun, Sang-Myung;Kwon, Young-Pil
    • The Magazine of the Society of Air-Conditioning and Refrigerating Engineers of Korea
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    • v.11 no.3
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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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Analysis of Combined Conductive and Radiative Heat Transfer in a Two-Dimensional Rectangular Enclosure Using the Discrete Ordinates Method (구분종좌법에 의한 사각형매질내의 복사 및 전도열전달 해석)

  • 김택영;백승욱
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.1
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    • pp.341-348
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    • 1991
  • An efficient tool to deal with a multi-dimensional radiative heat transfer is in strong demand to analyze various thermal problems combined either with other modes of heat transfer or with combustion phenomena. The current study examined the discrete ordinates method (DOM) for a coupled radiative and conductive heat transfer in rectangular enclosures in which either nonscattering or scattering medium is present. The results were compared with the other benchmarked approximate solution. The efficiency and accuracy of the DOM were thus validated.

A Study on the Estimation of One-dimensional Beat Fluxes on the Slab in Reheating Furnace by Using Inverse Analysis (역해석을 이용한 가열로 내 소재의 1차원 열유속 추정에 관한 연구)

  • Kang, Deok-Hong;Kwag, Dong-Seong;Kim, Woo-Seung;Lee, Yong-Kuk
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.27 no.1
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    • pp.61-68
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    • 2003
  • This study deals with the use of the conjugate gradient method for the simultaneous estimation of two unknown boundary heat fluxes on the slab in reheating furnace. Temperature measurements by the experiment are used in the inverse analysis. The heat flux estimations for three different cases of measurement locations in the slab are performed: non-skid, skid, and shift-skid zones. The estimated heat fluxes for three cases indicated the three regions having local peak values of heat fluxes. The estimated temperatures at measurement locations were in good agreements with the measured temperatures within 5% relative error.

Numerical modeling of Atmosphere - Surface interaction considering Vegetation Canopy (식물계를 고려한 지표-대기 상호작용의 수치모의)

  • 이화운;이순환
    • Journal of Environmental Science International
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    • v.3 no.1
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    • pp.17-29
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    • 1994
  • An one dimensional atmosphere-vegetation interaction model is developed to discuss of the effect of vegetation on heat flux in mesoscale planetary boundary layer. The canopy model was a coupled system of three balance equations of energy, moisture at ground surface and energy state of canopy with three independent variables of $T_f$(foliage temperature), $T_g$(ground temperature) and $q_g$(ground specific humidity). The model was verified by comparative study with OSUID(Oregon State University One Dimensional Model) proved in HYPEX-MOBHLY experiment. As the result, both vegetation and soil characteristics can be emphasized as an important factor iii the analysis of heat flux in the boundary layer. From the numerical experiments, following heat flux characteristics are clearly founded simulation. The larger shielding factor(vegetation) increase of $T_f$ while decrease $T_g$. because vegetation cut solar radiation to ground. Vegetation, the increase of roughness and resistance, increase of sensible heat flux in foliage while decrease the latent heat flux in the foliage.

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Analysis of Heat Transfer in Cooling of a Hot Plate by Planar Impingement Jet (평면충돌제트에 의한 고온 판 냉각과정의 열전달 해석)

  • Ahn, Dae-Hwan;Kim, Dong-Sik
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.33 no.1
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    • pp.17-27
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    • 2009
  • Water jet impingement cooling is used to remove heat from high-temperature surfaces such as hot steel plates in the steel manufacturing process (thermo-mechanical cooling process; TMCP). In those processes, uniform cooling is the most critical factor to ensure high strength steel and good quality. In this study, experiments are performed to measure the heat transfer coefficient together with the inverse heat conduction problem (IHCP) analysis for a plate cooled by planar water jet. In the inverse heat transfer analysis, spatial and temporal variations of heat transfer coefficient, with no information regarding its functional form, are determined by employing the conjugate gradient method with an adjoint problem. To estimate the two dimensional distribution of heat transfer coefficient and heat flux for planar waterjet cooling, eight thermo-couple are installed inside the plate. The results show that heat transfer coefficient is approximately uniform in the span-wise direction in the early stage of cooling. In the later stage where the forced-convection effect is important, the heat transfer coefficient becomes larger in the edge region. The surface temperature vs. heat flux characteristics are also investigated for the entire boiling regimes. In addition, the heat transfer rate for the two different plate geometries are compared at the same Reynolds number.

Analysis of the Effect of Solar Radiation on Internal Temperature Distribution in Concrete Mat Foundation (태양 복사열이 콘크리트 매트기초의 내부 온도분포에 미치는 영향에 관한 해석적 연구)

  • Song, Chung Hyun;Lee, Chang Joo
    • Journal of the Korea Institute of Building Construction
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    • v.17 no.1
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    • pp.63-72
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    • 2017
  • This research investigated the effect of solar radiation on the temperature distribution in concrete mat foundation. Zhang and Huang Model was utilized to estimate solar radiation heat at a given date and time. A one-dimensional finite element formula was derived with the fundamental laws of heat transfer and Galerkin method. Based on the formula, a one dimensional finite element analysis code was developed using MATLAB. Hydration heat analysis of mat foundation were conducted using the developed code. It was found that the solar radiation reduced the maximum temperature difference in mat foundation, and this temperature difference reduction was more prominent in case of summer season cast, a higher initial concrete temperature, and a thicker mat foundation depth. The research recommended that the solar radiation should be considered in hydration heat analysis of concrete mat foundation so as not to overestimate the maximum temperature difference in mat foundation.

A Study of Borehole Thermal Behavior with 1-Dimensional Model;Field Test Analysis included (1차원 모델에 의한 보어홀 열거동 해석 및 현지측정)

  • Kim, Dae-Ki;Woo, Joung-Son;Ro, Jeong-Geun;Lee, Se-Kyoun
    • 한국신재생에너지학회:학술대회논문집
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    • 2007.11a
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    • pp.550-554
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    • 2007
  • A one-dimensional heat transfer model coupled with parameter estimation is developed in this study to predict the effective thermal conductivities of soil formation and borehole resistances from in situ field test data. In this application a new method of using initial ignoring time(IIT) obtained from error estimation is tried and turned out to be successful in determining soil thermal conductivities. The validity of this model is accomplished through comparison of the predicted temperature profiles of the model with the data from laboratory scale experimental setting. Eleven test boreholes were constructed in Ochang, Chungcheong Buk Do, and thermal response test was carried out with each borehole. The results of the in situ tests were analyzed with our 1-D numerical model and compared with the results of line source method. The comparison shows that the thermal properties from line source method is a little lower (${\sim}95%$)than those from numerical method. The reason of such result seems to be the lower thermal conductivity of grout material, which is not counted in line source method.

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Effect of Horizontal Conducting Walls and Partitions on Two-Dimensional Laminar Natural Convective Heat Transfer in a Rectangular Enclosure (수평전도벽과 간막이가 직4각형 밀폐공간내에서의 2차원 층류 자연대류에 미치는 영향)

  • Lee Taik Sik;Lee Sang Woo
    • The Magazine of the Society of Air-Conditioning and Refrigerating Engineers of Korea
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    • v.16 no.2
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    • pp.204-215
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    • 1987
  • Laminar natural convective heat transfer within a two-dimensional rectangular enclosure with horizontal conducting walls and partitions was investigated by numerical analysis and experiment. The enclosure consists of two isothermal vertical walls and two adiabatic horizontal walls. This combined heat transfer problem of conduction and natural convection was solved using finite difference method with SIMPLE algorithm, and temperature distribu-tions in the air filled enclosure was obtained using Mach-Zehnder interferometer. Good agree-ment was obtained between the predicted and measured results. The effect of geometric parameters and thermal properties on heat transfer was studied far Grashof numbers in range, $1\times10^4\;{\leqslant}\;G^r\;{\leqslant}\;6.4\times10^5.$ It was found that both velocity and temperature fields were in-fluenced significantly by thermal conductivity of the conducting walls and the partitions, and by geometry of partitions.

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A Study on the Estimation of One-dimensional Heat Fluxes on the Slab in Reheating Furnace by Using Inverse Analysis (열해석을 이용한 가열로 내 소재의 1차원 열유속 추정에 관한 연구)

  • Kwag, Dong-Seong;Kang, Deok-Hong;Kim, Ki-Hong;Lee, Yong-Kuk;Jeong, Hong-Gyu;Kim, Woo-Seung
    • Proceedings of the KSME Conference
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    • 2001.11b
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    • pp.254-259
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    • 2001
  • This study deals with the use of the conjugate gradient method for the simultaneous estimation of two unknown boundary heat fluxes on the slab in reheating furnace. Temperature measurements by the experiment are used in the inverse analysis. The heat flux estimations for three different cases of measurement locations in the slab are performed: non-skid, skid, and shift-skid zones. The estimated heat fluxes for three cases indicated the three regions having local peak values of heat fluxes. The estimated temperatures at measurement locations were in good agreements with the measured temperatures within 5% relative error.

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