Analytical approximation for solidification processes in PCM storage with internal fins: imposed heat flux

Talati, Faramarz; Mosaffa, A.H.; Rosen, Marc A.

doi:10.1007/s00231-010-0729-9

Cited by 32 publications

(30 citation statements)

References 17 publications

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“…The variation of fraction of solidified PCM with time for the finned cylindrical shell storage is computed using the present analytical model and is compared with that presented by Lamberg and Siren [9] for finned rectangular storage. The fraction of solidified PCM for the finned cylindrical shell storage is evaluated using the present analytical model and is compared with that presented by Talati et al [8] for finned rectangular storage. 5 that the total solidification time of the PCM encapsulated in the finned cylindrical shell storage is less than that in the finned rectangular storage.…”

Section: Resultsmentioning

confidence: 96%

“…It was concluded that this configuration, which forms a V-shaped enclosure for the PCM, gives maximum benefit to the fin arrangement. Talati et al [8] studied analytically and numerically solidification of a finned rectangular PCM storage with an imposed constant heat flux as a boundary condition. The numerical methods utilized were an enthalpy method and an effective heat capacity method.…”

Section: Introductionmentioning

confidence: 99%

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Phase change material solidification in a finned cylindrical shell thermal energy storage: An approximate analytical approach

et al. 2013

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Results are reported of an investigation of the solidification of a phase change material (PCM) in a cylindrical shell thermal energy storage with radial internal fins. An approximate analytical solution is presented for two cases. In case 1, the inner wall is kept at a constant temperature and, in case 2, a constant heat flux is imposed on the inner wall. In both cases, the outer wall is insulated. The results are compared to those for a numerical approach based on an enthalpy method. The results show that the analytical model satisfactory estimates the solid-liquid interface. In addition, a comparative study is reported of the solidified fraction of encapsulated PCM for different geometric configurations of finned storage having the same volume and surface area of heat transfer

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Section: Resultsmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

Phase change material solidification in a finned cylindrical shell thermal energy storage: An approximate analytical approach

et al. 2013

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“…TES can be achieved by using sensible or latent heat storage. The latter is more preferable to the former because of constant temperature phase transition and high storage density . Phase change materials (PCMs) based Latent heat thermal energy storage (LHTES) for storing thermal energy has various applications such as photovoltaic (PV) system, solar water heating, electronic cooling and thermal comfort.…”

Section: Introductionmentioning

confidence: 99%

“…Heat transfer in LHTES materials, namely, PCMs, is complex in nature because of nonlinear problem and moving solid–liquid interface. The moving solid–liquid problem is commonly termed as moving boundary problem (MBP) . The analytical solution for the one‐dimensional (1D) MBP termed as Stefan's problem .…”

Section: Introductionmentioning

confidence: 99%

“…It was reported that geometry of PCM and material properties affect the PCM solidification time. Talati et al reported the solution for PCM solidification in two‐dimensional PCM storage having internal fins by employing both analytical and numerical techniques for constant heat flux wall condition. Position of interface of solid and liquid and temperature variation of fin in a rectangular‐finned PCM storage for convective air environment at the boundaries were predicted by Mosaffa et al Bauer reported analytical solution for PCM's solidification in fin geometries using effective medium approach with constant end‐wall temperature boundary condition.…”

Section: Introductionmentioning

confidence: 99%

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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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Approximate Analytical Model for Solidification Process in a Rectangular Phase-Change Material Storage with Internal Fins

Kothari

Das

Sahu

et al. 2020

Advances in Energy Research, Vol. 1

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Analytical approximation for solidification processes in PCM storage with internal fins: imposed heat flux

Cited by 32 publications

References 17 publications

Phase change material solidification in a finned cylindrical shell thermal energy storage: An approximate analytical approach

Phase change material solidification in a finned cylindrical shell thermal energy storage: An approximate analytical approach

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

Approximate Analytical Model for Solidification Process in a Rectangular Phase-Change Material Storage with Internal Fins

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