• 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.

• 설비공학논문집
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• 제7권2호
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• pp.184-195
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• 1995

A theoretical one-dimensional model for the charging process in stratified thermal storage tanks is established presuming that the fluid ensuing from the tank inlet creates a perfectly mixed, layer above the thermocline. Both the generic and asymptotic closed-form solutions are obtained via the Laplace transformation. The asymptotic solution describes the nature of the charging pertaining to the case of no thermal diffusion, whereas the generic solution is of practical importance to understand the role of operating parameters on the stratification. The present model is validated through comparison with available experimental data, where they agree well with each other within a reasonable limit. An interpretation of the exact solution entails two important features associated with the charging process. The first is that an in-crease in the mixing depth $h_m$ causes a relatively slow temperature rise in the perfectly mixed region, but on the other hand it results in a faster decay of the overall temperature gradient across the thermocline. Next is the predominance of the mixing depth in the presence of the prefectly mixed region. In such a case the effect of the Peclet number is marginal and there-fore the thermal characteristics are solely dependent on the mixing depth paticularly for large $h_m$. The Peclet number affects significantly only for the case without mixing. Variation of the storage efficiency in response to the change in the mass flow rate agrees favorably with the published experimental results, which confirms the utility of the present study.

• 태양에너지
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• 제11권3호
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• pp.44-52
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• 1991

본 연구의 목적은 주거용 태양열 온수이용에 있어서 성층저장의 잠점을 평가하고 최적의 설계변수를 제시하되 실험이 아닌 시뮬레이션을 통한다는 것이다. 그 결과는 다음과 같으며 실험의 결과들과 잘 일치함을 보였다. 1. 탱크의 성층분활이 증가함에 따라서 태양부하율이 증가함을 보여 주었고 본 연구에서는 평균 10% 정도 증가함을 나타내었다. 2. 저장탱크의 높이 대 지름의 비가 3정도일 때가 태양부하율이 최대가 되었으며 그 이상이 되면 감소하는 경향을 나타내었다. 3. 집열기로 부터 저장탱크로 유입되는 온수의 유동율이 증가할 수록 완전혼합저장에서는 태양부하율이 증가하지만 성충저장에서는 유입율이 감소하는 것이 태양부하율을 증가시키는 결과가 되었다. 4. 이와 같은 결과로 성층축열시스템 전체적으로는 약 17%의 성능 향상을 기대할 수 있다.