Analytical and numerical analysis of PCM solidification inside a rectangular finned container with time-dependent boundary condition

Taghilou, Mohammad; Talati, Faramarz

doi:10.1016/j.ijthermalsci.2018.04.042

Cited by 8 publications

(4 citation statements)

References 21 publications

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“…In this case, the dimensionless solution was demonstrated to be a function of the Fourier and Stefan numbers for the two phases. The analytical and numerical analysis for the solidification of the phase change material inside a rectangular finned container with time-dependent boundary condition was untaken by Taghilou and Talati [7]. They introduced two special cases of linear and sinusoidal time-dependent boundary conditions and presented analytical results for non-dimensional temperature distribution and position of the solidification front.…”

Section: Introductionmentioning

confidence: 99%

An Approach for Interface Condition of Phase-Change Heat Conduction in Curvilinear Coordinates

Mansoor

Yilbaş

2020

Journal of Thermal Engineering

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Phase change materials are vastly used in thermal engineering applications. The model studies reduce the experimental time and cost and gives insight into the physical process and and provides relation between the process outcomes and the influencing parameters on the process. One of the challenges in the model study related to the phase change problem is setting the appropriate boundary conditions across the phases. This is because of the fictitious definition of the mush zone across the phases. This situation becomes complicated when setting the boundary conditions across the odd geometric shapes. In this study, mathematical formulation of the condition for energy-balance at the interface of the phase changing is investigated using the curvilinear coordinate system without requiring the coordinate system. The proposed arrangement enables to create a curvilinear system via transformation equations from another curvilinear coordinate system. It also provides mathematical formulation of the interfacial boundary conditions across the phases.

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Section: Introductionmentioning

confidence: 99%

An Approach for Interface Condition of Phase-Change Heat Conduction in Curvilinear Coordinates

Mansoor

Yilbaş

2020

Journal of Thermal Engineering

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“…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%

“…Several analytical studies were reported for analyzing the PCM melting and solidification time with fins. [1][2][3][33][34][35][36][37][38] The analytical and numerical solutions for the location of interface of solid and liquid and temperature variation during solidification 3 and melting 33 of PCM with finned two-dimensional storage were reported for constant end-wall temperature condition. It was reported that geometry of PCM and material properties affect the PCM solidification time.…”

Section: Introductionmentioning

confidence: 99%

“…37 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. [1][2][3][33][34][35][36][37][38] Most of the two-dimensional analytical studies employ separation of variable (SV) method for the analysis. These techniques compute the solution by truncating the series of complex function.…”

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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Solidification acceleration in a triplex-tube latent heat thermal energy storage system using V-shaped fin and nano-enhanced phase change material

Alizadeh

Hosseinzadeh

Shahavi

2019

Applied Thermal Engineering

100

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Analytical and numerical analysis of PCM solidification inside a rectangular finned container with time-dependent boundary condition

Cited by 8 publications

References 21 publications

An Approach for Interface Condition of Phase-Change Heat Conduction in Curvilinear Coordinates

An Approach for Interface Condition of Phase-Change Heat Conduction in Curvilinear Coordinates

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

Solidification acceleration in a triplex-tube latent heat thermal energy storage system using V-shaped fin and nano-enhanced phase change material

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