Approximate analytical model for PCM solidification in a rectangular finned container with convective cooling boundaries

Mosaffa, A.H.; Talati, Faramarz; Rosen, Marc A.; Tabrizi, Hassan Basirat

doi:10.1016/j.icheatmasstransfer.2011.11.015

Cited by 39 publications

(29 citation statements)

References 17 publications

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“…The demand of energy in various sectors such as industrial, utility, and commercial sectors vary with time . Thermal energy storage (TES) systems have the ability and are promising candidates for smoothing the temporal variation of energy demands.…”

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%

“…Several analytical studies were reported for analyzing the PCM melting and solidification time with fins . The analytical and numerical solutions for the location of interface of solid and liquid and temperature variation during solidification and melting of PCM with finned two‐dimensional storage were reported for constant end‐wall temperature condition.…”

Section: Introductionmentioning

confidence: 99%

“…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. The model is useful to optimize finned TES.…”

Section: Introductionmentioning

confidence: 99%

“…The solidification behavior of PCM is found to depend on various thermal and geometrical parameters including the aspect ratio, fin thickness, and thermophysical properties of fin and PCM . It is evident from the literature that numerous studies have been made that analyze the melting/solidification behaviors of PCMs with internal fins inside storage system involving rectangular and cylindrical geometries . Most of the two‐dimensional analytical studies employ separation of variable (SV) method for the analysis.…”

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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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%