• Title/Summary/Keyword: 푸리에 열전도

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A Study of the Heat Conduction Phenomena with a Phase Lag of Heat Flux (열유속 상지연이 존재하는 열전도 현상에 대한 연구)

  • Jin, Chang-Fu;Kim, Kyung-Kun;Chung, Han-Shik;Jeong, Hyo-Min;Choi, Du-Yeol;Choi, Soon-Ho
    • Journal of Advanced Marine Engineering and Technology
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    • v.32 no.5
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    • pp.684-690
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    • 2008
  • In most engineering applications related with the heat conduction phenomena, a conventional Fourier heat conduction equation has been successfully applied and it has supplied quite reasonable results. However, it is well known that the Fourier heat conduction equation is failed in the application to the extremely small space and short time, in other words, a nano-scale system and a pico-second time. In this study, non-Fourier effect was evaluated in the heat conduction by considering the concept of a phase lag model. The results show the existence of a heat wave, which means that the heat is transferred with a finite speed while an infinite speed of heat transfer is assumed in the conventional Fourier heat conduction. In addition, the copper and the gold are tested to evaluate the phase lag time between the heat flux and the temperature gradient. The results show that the gold has the heat wave speed faster than that of the copper consistent with the prediction based on an actual experiment.

Heat Transfer between Substrate and Substrate-heater in Low Vacuum (저진공 내 시료가열판과 시료의 열전달)

  • Park, Hyon-Jae;Oh, Soo-Ghee;Shin, Yong-Hyeon;Chung, Kwang-Hwa
    • Journal of the Korean Vacuum Society
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    • v.17 no.4
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    • pp.302-310
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    • 2008
  • Heat transfer between substrate and substrate-heater in low vacuum was investigated. The convection related with gas flow and pressure, the heat conduction considering surface roughness and contact pressure, and the heat loss by radiation depending on the surface emissivity were considered. The coefficient of heat conduction $h_c$ in the Fourier's law were determined experimentally from the temperature difference between the substrate and the substrate-heater in the range of substrate-heater temperature $100\;-\;500^{\circ}C$, in the pressures of 300 mTorr - 1 Torr. The temperature difference was then calculated in the reverse way for the purpose of verification, using the heat flow and the experimentally determined coefficients. The verified temperature differences were thus obtained within 0.33 % error.

A Study of the Non-Fourier Heat Conduction Phenomena (비푸리에 열전도 현상에 관한 고찰)

  • Choi, Soon-Ho;Jin, Chang-Fu;Choi, Hyun-Kue;Yun, Seok-Hoon;Kim, Myoung-Hwan;Oh, Cheol
    • Proceedings of the Korean Society of Marine Engineers Conference
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    • 2005.11a
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    • pp.37-38
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    • 2005
  • Although the law of classical fourier heat conduction predicts the heat conduction phenomena occurred in most engineering fields with a good accuracy, it is also well-known that the conventional fourier law of a heat conduction has an application limit when the heating and cooling are periodic for a short duration or when the heat conduction is analyzed in the extremely low temperature region. This application limit of classical fourier law results from the fact that it assumed the infinite speed of a heat wave. In this study, we investigated the feasibility of whether the molecular dynamics could be used to calculate the speed of a heat wave through a solid. The calculated sound velocity showed a good agrement with the theoretical prediction qualitatively. From the calculated results, we confirmed that the same methodology can be applied the evaluation of the speed of a heat wave.

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A Study on Thermal Conduction in Oyster Shell Incorporating Gypsum Objects (굴패각 배합 석고재료의 열전도 특성 연구)

  • Kwon, Sung-Hyun;Cho, Daechul
    • Clean Technology
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    • v.19 no.2
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    • pp.90-94
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    • 2013
  • We investigated one-dimensional thermal conduction for gypsum objects incorporating oyster shell powder. We presumed that according to the portion of oyster shell in the hybrid structure conductive characteristics of that would also change as some physicochemical properties such as volatile organic compound (VOC) adsorption were found to be changed considerably. Based on Fourier's 2nd law of heat conduction an analytical analysis in a flat slab (one axis perpendicular to an infinite plane) was performed. We found that composition of oyster shell and conduction-related coefficients and parameters could greatly influence on the thermal profile of that conduction, and some model experiments also served for it in the affirmative.

Proposed OHTC Formula for Subsea Pipelines Considering Thermal Conductivities of Multi-Layered Soils (다층 지반의 열전도율을 고려한 해저배관의 총괄열전달계수식 제안)

  • Park, Dong-Su;Shin, Mun-Beom;Seo, Young-Kyo
    • Journal of Ocean Engineering and Technology
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    • v.32 no.2
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    • pp.84-94
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    • 2018
  • Subsea pipelines are designed to transport mixtures of oil, gas, and their associated impurities from a wellhead that can be in excess of approximately $100^{\circ}C$, while the external temperature may be approximately $5^{\circ}C$. Heat can be lost from a subsea pipeline containing a high-temperature fluid to the surrounding environment. It is important that the pipeline be designed to ensure that the heat loss is small enough to maintain sufficient flow from the unwanted deposition of hydrate and wax, which occurs at a critical temperature of about $40^{\circ}C$. Therefore, it is essential to estimate the heat loss of a subsea pipeline in various circumstances. In previous studies, overall heat transfer coefficient(OHTC) formulas were considered only for a single soil type. Thus, it is difficult to characterize the OHTC of the actual seabed with multiple soil layers. In this paper, an OHTC formula that considers multi-layered soils is proposed for more precise OHTC estimation.

Influence of Alkylation on Interface and Thermal Conductivity of Multi-walled Carbon Nanotubes-reinforced Epoxy Resin (알킬화가 다중벽탄소나노튜브로 강인화된 에폭시수지의 계면 및 열전도도에 미치는 영향)

  • Heo, Gun-Young;Rhee, Kyong-Yop;Park, Soo-Jin
    • Polymer(Korea)
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    • v.35 no.6
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    • pp.548-552
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    • 2011
  • Two functionalization methods, i.e., acid treatment and chemical amidation were performed to prepare the functionalized multi-walled carbon nanotubes (MWCNT), and the properties of epoxy/functionalized MWCNT composites were investigated and compared. Fourier transform infrared spectroscopy (FTIR) was used to confirm the surface functionality of the MWCNT obtained by the functionalization methods. The effects of the MWCNT functionalization on the interface and thermal conductivity were studied by zeta potential analyzer, scanning electron microscope and thermal conductivity analyzer. From these results, it was confirmed that the thermal conductivity of the epoxy/MWCNT composites could be increased by grafting with dodecylamine. This could be interpreted by relatively strong dispersion forces of the grafting MWCNT with dodecylamine in DGEBF epoxy resin. These results were in good agreement with the results that the zeta potential value of the grafting MWCNT with dodecylamine has a higher negative value than that of MWCNT with acid treatment.

A Development of Seepage Analysis Model for Unsaturated Soil during Rainfall (강우시 불포화지반의 침투해석모형 개발)

  • Lee, Jung-Sik;Han, Heui-Soo;Jang, Jin-Uk
    • Proceedings of the Korea Water Resources Association Conference
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    • 2009.05a
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    • pp.796-800
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    • 2009
  • 토목구조물 및 사면의 붕괴는 집중호우가 내리는 경우 많이 발생하고 있으며, 특히 사면에서는 붕괴까지의 변형이 급속히 진행되어 이를 사전에 예방하기는 매우 어려운 현실이다. 침투 및 배수과정에서의 사면 붕괴는 강우침투로 인한 지반의 물리적 특성변화가 직접적으로 사면의 안전계수 변화에 영향을 주는 것으로 판단되며, 이때 발생하는 물리적 특성변화로는 침투시 사면 내 지반의 단위 중량은 증가하여 전단응력의 증가 및 전단강도 감소현상이 발생하며, 이와 반대로 사면 내 배수로 인하여 전단응력의 감소 및 전단강도의 증가현상이 발생한다. 따라서 본 연구에서는 강우침투로 발생하는 지반의 포화도 변화를 지반 내 투수계수의 함수로 설명하여 강우로 인한 지반의 침투 및 배수과정을 규명하고자 한다. 일반적으로 지반 내 지하수의 침투과정은 라플라스 공식을 적용한다. 그러나 라플라스 공식은 정상 상태(Steady State)일 경우에만 사용할 수 있고, 강우 등으로 인한 지하수의 수두 변화가 발생한 비정상 상태(Unsteady State)의 경우에는 부적합하므로 사면과 옹벽 등의 토질구조물에서는 안전성 변화를 계산할 수 없다. 이를 위해 사면 내 지반의 침투 및 배수과정을 투수계수의 함수로 나타내어, 강우의 침투과정을 Fourier Series, 변수분리법 및 섭동함수를 사용하여 식으로 유도함으로서 강우에 의한 지반의 침투 및 배수과정에 따른 사면 내 지하수의 분포를 예측한다. 침투과정 해석을 위하여 지표에서 포화대까지의 깊이 10m의 모델사면 및 지표부터 포화대까지의 포화도는 직선으로 비례한다는 가정을 적용한다. 먼저 푸리에 급수를 이용, 시간에 따른 온도를 열전달에 관하여 편미분하여 발생하는 열확산계수를 투수계수로 변환함에 따라 지하수의 시간과 수직방향거리에 대한 지반의 포화도를 산정한다. 변수분리법은 산정된 포화도에 지반의 초기조건과 경계조건를 고려하기 위해 적용하며, 변수분리법에 의해 산정된 지하수 분포를 섭동함수법으로 과도 및 정상상태로 분류한다. 본 연구의 수행으로 인해 얻어진 결과를 요약하면 다음과 같다. 첫째, Fourier Series와 변수분리법, 섭동함수를 이용하여 강우에 의한 지반의 포화도 변화를 수식적으로 나타낼 수 있으며 둘째, 지반에서의 강우침투과정을 식으로 표현함으로서, 깊이별 시간에 따른 포화도의 영역이 상부로부터 하부로 전이되는 과정을 알 수 있다. 셋째, 푸리에 급수를 이용한 지반의 침투계산으로 강우로 인한 지반의 포화영역 및 불포화영역을 명확히 구분할 수 있으며, 각 깊이별 포화도를 계산하여 각 구간에서 불포화구간의 전단강도에 대한 보다 정확한 계산이 가능하리라 판단된다.

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