Analysis of solidification and melting of PCM with energy generation

Jiji, Latif M.; Gaye, Salif

doi:10.1016/j.applthermaleng.2005.07.008

Cited by 59 publications

(19 citation statements)

References 17 publications

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“…Where as for low heat generation β < 4.0, total solidification takes place without reaching steady state. The unique case of β = 4.0, total solidification will takes place at the steady state, but for slab it is at β = 2.0 [1]. The effect of heat generation on percentage solidification is represented in Fig.…”

Section: Analytical Solutionmentioning

confidence: 98%

“…Generally, transient heat equation was found to be best suited for addressing phase change phenomena. Solutions to the solidliquid phase change phenomena are commonly referred as Stefan problem [1,3,12,13]. The application of moving boundary to single droplet drying was recently addressed and the temperature distribution was found to be significant inside the [14].…”

Section: Introductionmentioning

confidence: 99%

“…On the other hand, melting process involves the natural convection effect of the liquid phase. But a literature inferred that there is a significant reduction in melting time for slab of ice due to the presence of heat generation [1], hence it is important to consider the presence of heat generation inside PCM. The influence of volumetric heat generation in PCM is of great importance in applications like laser melting of materials [2], vacuum freeze drying [3], microwave heating/thawing [4,5], nuclear fuel freezing [6,7] phase change solar collectors, biological tissues freezing.…”

Section: Introductionmentioning

confidence: 99%

“…A simplified analytical model which predicts the solid-liquid interface location and temperature distribution of the fin in the solidification process is developed [15]. The effect of energy generation on freezing and melting in a semiinfinite region [16] and in slab geometry [1] was recently examined. There are numerous approximate analytical solutions based on various mathematical techniques such as variational approach, Megerlin method, perturbation, heat balance integral method and quasi-steady approximation for phase change problems with out considering heat generation.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Experimental and analytical investigation of solidification and melting characteristics of PCMs inside cylindrical encapsulation

Kalaiselvam

Veerappan

Aaron

et al. 2008

International Journal of Thermal Sciences

102

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Section: Analytical Solutionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Experimental and analytical investigation of solidification and melting characteristics of PCMs inside cylindrical encapsulation

Kalaiselvam

Veerappan

Aaron

et al. 2008

International Journal of Thermal Sciences

102

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“…This study also notes that in certain cases internal (encapsulation) convection may result at the interface between the PCM and the encapsulation system, increasing heat flow internal to the encapsulation system. Jiji and Gaye (2006) analytically investigated the theoretical solidification and melting of slab elements of PCM using a quasi-steady state model as an approximation. This method assumes that the system-from a sensible energy perspective-is always in equilibrium (sensible equilibrium is assumed to be reached immediately after the sensible/latent energy transformation has been completed).…”

Section: List Of Symbolsmentioning

confidence: 99%

Compact PCM-based thermal stores for shifting peak cooling loads

Bourne

Novoselac

2015

Build. Simul.

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Thermal energy stores, when used as part of a demand management system, can shift peak cooling loads to off-peak hours or to periods when intermittent renewable energy sources are available. This enables more efficient use of baseline and renewable electric capacity, and reduces dependence on less efficient and more costly peak energy power plants. High density thermal stores can be an effective retrofit option for existing buildings and environmental control systems. This paper investigates the development of a simple, compact, high density thermal storage unit suitable for use in small to medium residential or commercial applications that utilize, or can be retrofitted to use, chilled water cooling coils. This thermal store design is based on the use of a widely available phase change material (PCM), macro-encapsulated into cylindrical tubes that are packed into a containment tank. An experimental scale model of this thermal store is constructed for test purposes, and tests are conducted to determine the feasibility of this design and to characterize its operation. A numeric model is developed to demonstrate the feasibility of modeling such a store using simplified assumptions, both for design purposes and real-time predictive control strategies. The results show that such a design increases thermal capacity over that of a simple chilled water tank, and that a simplified numeric model for use by control systems can predict the short-term performance of the store in near real-time.

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Analysis of solidification in a finite PCM storage with internal fins by employing heat balance integral method

et al. 2019

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Summary Here, a simplified analytical model has been proposed to predict solid fraction, solid–liquid interface, solidification time, and temperature distribution during solidification of phase change material (PCM) in a two‐dimensional latent heat thermal energy storage system (LHTES) with horizontal internal plate fins. Host of boundary conditions such as imposed constant heat flux, end‐wall temperature, and convective air environment on the vertical walls are considered for the analysis. Heat balance integral method was used to obtain the solution. Present model yields closed‐form solution for temperature variation and solid fraction as a function of various modeling parameters. Also, solidification time of PCM, which is useful in optimum design of PCM‐based thermal energy storages, has been evaluated during the analysis. The solidification time was found to be reduced by 93% by reducing the aspect ratio from 8 to 0.125 for constant heat flux boundary condition. While, for constant wall temperature boundary condition, the solidification time reduces by 99% by changing the aspect ratio from 5 to 0.05. In case of convective air boundary surrounding, the solidification time is found to reduce by 88% by reducing the aspect ratio from 8 to 0.125. Based on the analytical solution, correlations have been proposed to predict solidification time in terms of aspect ratio and end‐wall boundary condition.

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Analysis of solidification and melting of PCM with energy generation

Cited by 59 publications

References 17 publications

Experimental and analytical investigation of solidification and melting characteristics of PCMs inside cylindrical encapsulation

Experimental and analytical investigation of solidification and melting characteristics of PCMs inside cylindrical encapsulation

Compact PCM-based thermal stores for shifting peak cooling loads

Analysis of solidification in a finite PCM storage with internal fins by employing heat balance integral method

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