• 설비공학논문집
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• 제16권11호
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• pp.1077-1083
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• 2004

This study is to systematically analyze the effect of various kinds of design factors on the performance of stratified thermal storage tank. Taguchi method, known as a very reasonable tool in the parametric study, is employed in the present work. Three dimensional unsteady numerical experiment is conducted for 4 design parameters of stratified thermal storage tank: inlet Reynolds number, Froude number, diffuser size d with 3 levels (Re=400, 800, 1200, Fr=0.5, 1.0, 2.0 and d=150 mm, 200mm, 300 mm) and diffuser shape with 2 levels. Orthogonal array $L_{18}(2{\times}3^7)$ is adopted for the analysis of variance. The result gives quantitative estimation of the various design parameters affecting the performance and helps to select the main factors for the optimum design of stratified thermal storage tank. Reynolds number is found to be the most dominant parameter and the diffuser shape plays significant role on the performance of stratified thermal storage tank. Based on this finding, the prior questions on the contribution of the diffuser shape proposed by the authors become clear. The optimum condition for the performance is a set of d=300mm, Re=800, and radial regulated plate diffuser. Conformation test shows the repeatability in the analysis and $1.3\%$ difference between the estimated thermocline thickness and that of numerical result.

• International Journal of Air-Conditioning and Refrigeration
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• 제6권
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• pp.14-26
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• 1998

This paper deals with approximate analytical solutions for the two-region one-dimensional model describing the charging process of stratified thermal storage tanks at variable inlet temperature with momentum-induced mixing. An arbitrarily increasing inlet temperature is decomposed into inherent step changes and intervals of continuous change. Each continuous interval is approximated as a finite number of piecewise linear functions, which admits an analytical solution for perfectly mixed region. Using the Laplace transform, the temperature profiles in plug flow region with both the semi-infinite and adiabatic ends are successfully derived in terms of well-defined functions. The effect of end condition on the solution proves to be negligible under the practical operating conditions. For a Quadratic variation of inlet temperature, the approximate solution employing a moderate number of pieces agrees excellently with the exact solution.

• 대한기계학회논문집 C: 기술과 교육
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• 제2권1호
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• pp.65-72
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• 2014

본 연구에서는 지역난방 공사에서 사용하고 있는 성층 축열조의 불가용 에너지를 줄이기 위해 단열층을 설계하였다. 단열층은 추가적인 장치 없이 고온수와 저온수의 밀도차이로 생기는 부력으로 운용된다. 축열조의 내부 온도분포를 모사할 수 있는 해석모델을 Matlab Simulink 를 이용하여 제작하고 해석 결과를 이용하여 단열층의 소재와 두께를 결정하였다. 또한 축열조의 축소실험을 통하여 단열층의 운용 가능성을 확인하였다. 실험 결과, 단열층이 축열 방열과정에서 고온수와 저온수의 혼합과 열전도로 인한 온도 경계층형성을 효과적으로 억제할 수 있다는 것을 확인하였다. 단열층을 설치한 축소실험에서는 단열층이 없는 축열조보다 약 1540 J 의 추가 가용에너지가 보존되었고 이를 실제 축열조에 적용할 경우 약 6%의 축열효율이 증가될 것으로 예상된다.

• 설비공학논문집
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• 제22권7호
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• pp.468-473
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• 2010

This paper deals with approximate integral solutions to the one-dimensional model describing the charging process of stratified thermal storage tanks. Temperature is assumed to be the form of Fermi-Dirac distribution function, which can be separated to two sets of cubic polynomials for each hot and cold side of thermal boundary layers. Proposed approximate integral solutions are compared to the previous works of the approximate analytic solutions and show reasonable agreement. The approach, however, has benefits in mathematical difficulties, complicated solution form and unstable convergence of series solution founded in the previous analytic solutions. Solutions for a semi-infinite region, which have simple closed form solutions, give close agreement to those for a finite region. Thermocline thickness is obtained in closed form and shows proportional behavior to the square root of time and inverse proportional behavior to the square root of flow rate.

• Environmental Engineering Research
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• 제8권1호
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• pp.41-47
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• 2003

• 설비공학논문집
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• 제9권1호
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• pp.43-54
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• 1997

This paper presents an approximate analytical solution to a two-region one-dimensional model for the charging process of stratified thermal storage tanks with variable inlet temperature in the presence of momentum-induced mixing. Based on the superposition principle, an arbitrary-varying inlet temperature is decomposed into inherent discontinuous steps and continuous intervals approximated as a finite number of piecewise linear functions. This approximation allows the temperature of the upper perfectly-mixed layer to be expressed in terms of constant, linear and exponential functions with respect to time. Applying the Laplace transform technique to the model equation for the lower thermocline layer subject to each of three representative interfacial conditions yields compact-form solutions, a linear combination of which constitutes the final temperature profile. A systematic method for deriving solutions to the plug-flow problem having polynomial-type boundary conditions is also established. The effect of adiabatic exit boundary on solution behaviors proves to be negligible under the actual working conditions, which justifies the assumption of semi-infinite domain introduced in the solution procedure. Finally, the approximate solution is validated by comparing it with an exact solution obtained for a specific variation of inlet temperature. Excellent agreements between them suffice to show the necessity and utility of this work.

• 태양에너지
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• 제17권3호
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• pp.13-21
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• 1997

장기 성층 온수 저장조 내의 중간 경계면에서 전달되는 열량을 예측하기 위하여 이론식을 유도 확립하고 이론적인 축열효율을 구하였다. 그리고 이론 축열효율값과 비교 고찰하기 위하여 여러 실험 조건을 통한 실제 축열효율을 구하였고, 저장조 내의 중간 경계면에서 일어나는 혼합정도를 효과적으로 해석하기 위하여 유효 열확산 계수를 정량화하였다. 중간 경계면에서 열전도에 의한 손실이 일회 충수 시간이 짧을수록 즉, Pe 수가 증가할 수록 많이 발생함을 알았다.

• 설비공학논문집
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• 제7권1호
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• pp.42-51
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• 1995

In order to establish a theoretical basis for the analyses of transient behaviors in stratified thermal storage tanks, analytical approaches to an improved one-dimensional model are made. In the present model the storage tank is treated as a finite region with an adiabatic tank exit, whereas it has been considered as a simple semi-infinite region previously. Application of the Laplace transformation and the Inversion theorem to the governing equations makes it possible to obtain an exact infinite-series solution, which is convergent only at sufficiently large time. Accordingly a complementary solution which is available for short times, i.e., the time range of this study is sought by an approximate method. The approximate solution which is rigorously validated through the examination of neglected terms in the solution procedure agrees quite well with the exact one. Moreover, it is simpler to use and more convenient to interpret the physical meaning of the solution. Comparison of the present solution with the previous ones shows relatively large difference near the tank bottom, which results from the more realistic boundary condition adopted in the present model. Some representative results by the approximate solution including effects of the Peclet number on temperature distrbutions are illustrated to show the utility of this study. In consequence, it is expected that the present results based on the improved model replace the foregoing ones as a new theoretical reference for studies of thermal stratification fields.

• 한국태양에너지학회 논문집
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• 제27권4호
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• pp.43-49
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• 2007

This study is conducted to improve the efficiency of a thermal storage tank. The thermal storage tank was designed to store heat energy that obtained from the solar or the others heat sources. However, it has difficulties in storing heat with nonuniform temperature through the entire tank with respect to the vertical direction, This study is focused on the thermal stratification to improve thermal comfort for the resident in house. To enhance temperature stratification of the tank, a distributor was designed and installed in the middle of the storage tank vertically. The vertically designed distributor could supply the return water with stratified temperature in the storage tank with respect to the height. The water velocity from the distributor hole is the same with the other outlet in the distributor. However, gravity effect on the flow in the storage tank is much higher than that of the velocity effect due to that Froude Number is less than 1. During the heat charging process in the storage tank, temperature maintained with little difference with respect to the height. However the charging process takes long time to get a effective temperature for the heating or hot water supply because of all of water in the storage tank needs to be heated.

• 터널과지하공간
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• 제23권1호
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• pp.78-85
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• 2013

열에너지를 성층화하여 저장하는 주된 목적은 에너지의 열역학적 질을 유지하기 위한 것으로서 열에너지의 성층화를 통해 필요시 원하는 온도에서 열에너지 활용이 가능하다. 저장소 내 열에너지의 온도에 따른 분리, 즉 열성층화는 이와 같은 열에너지의 활용에 영향을 미치는 핵심 인자이다. 본 논문에서는 열성층화의 정도를 평가할 수 있는 기존에 제안된 기법들을 소개하였으며, 특히 열에너지의 주입, 저장, 배출 과정 동안 열저장소의 성층화와 관련된 성능을 결정하는 데 사용될 수 있는 기법들을 중심으로 개념 및 특징을 살펴보았다. 또한 열성층화 지수를 이용하는 방법을 토대로 스웨덴 Lyckebo 암반공동 내 열에너지의 성층도를 비교 분석하여 기법의 적용성을 조사하였다.