Analytical model for solidification and melting in a finite PCM in steady periodic regime

Mazzeo, Domenico; Oliveti, Giuseppe; Simone, Marilena De; Arcuri, Natale

doi:10.1016/j.ijheatmasstransfer.2015.04.109

Cited by 40 publications

(20 citation statements)

References 16 publications

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“…The study of thermal exchange in a PCM, known as the Stefan or Moving Boundary Problem, subjected to steady periodic boundary conditions was developed in a previous paper [35] by simultaneously solving the general equation of conduction in the solid phase and in the liquid phase, coupled by bi-phase interface conditions and by boundary conditions on two faces. At the biphase interface, the difference in heat fluxes between the liquid phase and the solid phase is equal to the heat needed for the fusion/solidification process per unit time and the temperature is equal to the melting temperature.…”

Section: Descriptionmentioning

confidence: 99%

“…The analytical solutions present the advantage of identifying directly the physical parameters on which the thermal behavior of the system depends, and the function that connects the unknowns to the physical parameters and to the boundary conditions. Recently, in the laboratory of "Building Energy" of the Applied Physics Area of the Department of Mechanical, Energy and Management Engineering (DIMEG) at the University of Calabria, the exact solutions of a Stefan Problem in a finite PCM layer in steady periodic regime was obtained [35]. The model allows for the determination of the bi-phase interface position, of the temperature and heat flux field, and of the energy stored in latent and sensible form.…”

Section: Introductionmentioning

confidence: 99%

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Experimental validation of the exact analytical solution to the steady periodic heat transfer problem in a PCM layer

Mazzeo

Oliveti

Gracia

et al. 2017

Energy

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Phase change materials (PCM) are used in many industrial and residential applications for their advantageous characteristic of high capacity of latent thermal storage by means of an isothermal process. In this context, it is very useful to have predictive mathematical models for the analysis of the thermal performance and the thermal design of these layers. In this work, an experimental validation of an analytical model that resolves the steady periodic heat transfer problem in a finite layer of PCM is presented. The experimental investigation was conducted employing a PCM with thermophysical and thermochemical behavior very close to those hypothesized in the formulation of the analytical model. For the evaluation of the thermophysical properties of the PCM sample used, an experimental procedure created by the authors was employed. In all tests realized in a sinusoidal and non-sinusoidal periodic regime, the comparison between the measured and calculated trends of the temperature at different sample heights and of the surface heat fluxes show an excellent agreement. Moreover, also having verified the analytical total stored energy, the analytical model constitutes a valid instrument for the evaluation of the latent and sensible contribution and the trend in time of the position of the bi-phase interface.

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Section: Descriptionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Experimental validation of the exact analytical solution to the steady periodic heat transfer problem in a PCM layer

Mazzeo

Oliveti

Gracia

et al. 2017

Energy

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“…In previous studies, the PCM for building applications can be classified into two types: the traditional and encapsulated PCM [17]. Based on the classification, a computer simulation and field study were performed to assess the applications of PCMs in walls [18][19][20][21][22][23][24][25], roofs [26,27], windows [28,29] and floors [30,31]. In particular, there are advantages in installing a PCM in wall systems depending on which part is focused on, such as the materials and combinations, which geographic conditions they are testing and whether the tests are conducted under heating or cooling conditions.…”

Section: Introductionmentioning

confidence: 99%

“…In particular, there are advantages in installing a PCM in wall systems depending on which part is focused on, such as the materials and combinations, which geographic conditions they are testing and whether the tests are conducted under heating or cooling conditions. For example, finite different numeric calculations of a PCM wall system were performed at different melting temperatures and climates for net zero energy buildings (nZEB) based on characteristic days [19,20]. In addition, a thermal comfort test for a PCM wall system was conducted based on lightweight concrete with an encapsulated PCM for residential housing in Hong Kong.…”

Section: Introductionmentioning

confidence: 99%

Phase Change Material (PCM) Application in a Modernized Korean Traditional House (Hanok)

Lee

Park

2018

Sustainability

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Social and policy interest in the modernization and revitalization of the Korean traditional house (Hanok) has increased recently in Korea but its low thermal performance is one of its weaknesses. A feasibility study was conducted to evaluate the suitability of a Phase Change Material (PCM) in a modernized Hanok. The research method involved a test of the heating and cooling load reduction and Predicted Mean Vote (PMV) analysis for human comfort using an Esp-r simulation adopting multi variable PCM types as the building wall composite. The influence of PCMs on reducing the building energy load was assessed as a criterion for upgrading materials and infiltration to the passive house regulation. Compared to the base case, the heating and cooling load reduction ratio were as follows: Case 1 (old-Hanok), 10%; Case 2 (Korean Building Act), 21%; and Case 3 (passive house regulation), 53%. The optimal phase change temperatures of the PCMs were Case 1 (24-26 • C), Case 2 (23-25 • C) and Case 3 (24-26 • C). PMV analysis showed that the use of a PCM can narrow the comfort range and centralize the optimal point. Therefore, the following contents can be presented as the design and material guidelines. First, the optimal PCM temperature can vary according to the combination of materials and local climate. In addition, the infiltration and insulation should be verified and a certain portion of them should be secured. Finally, the addition of insulation to a passive house level should be considered actively using a PCM as a supplement for net zero energy building (nZEB).

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“…Mazzeo et al [7,8] in previous works have concluded that periodical thermal loadings could lead to one or more bi-phase interfaces originating in the layer. Such multiple bi-phase interfaces and the associated storage and the release processes of latent energy at the melting temperature, compared to the monophase layer, modifies the fluctuant field of the temperature and of the heat flux, both during the summer and winter periods.…”

Section: Introductionmentioning

confidence: 99%

A Method for Thermal Dimensioning and for Energy Behavior Evaluation of a Building Envelope PCM Layer by Using the Characteristic Days

Mazzeo¹,

Oliveti²,

Arcuri³

2017

Energies

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Net zero energy buildings (nZEB) require the development of innovative technologies such as the use of phase change materials (PCMs) in walls for the energy requalification of low inertia buildings. The presence of a PCM layer in the external building wall, due to the effect of storage and release of latent energy phenomena, modifies the energy behavior, both during the summer and winter periods. This paper addresses the problem of the definition of the energetic behavior of a layer subject to phase change with periodic non-sinusoidal boundary conditions, characterizing the external walls of air-conditioned buildings. In such conditions, the layer is the site of the formation of one or more bi-phase interfaces, which originate on the boundary surfaces, or are always present and fluctuate within the layer. It is also possible that the layer does not undergo any phase change. The study has been developed by a finite difference numeric calculation model which explicitly determines the number and the position of the bi-phase interfaces that originate in the layer and the temperature and the heat flux fields. The surface heat fluxes are used to evaluate the PCM layer energetic behavior in terms of energy transferred through the boundary surfaces and of stored energy in sensible and latent form. The proposed method employs the characteristic day that it is periodically repeated for all the days of the considered month. The use of the characteristic days drastically reduces the computational burden of the numerical calculation and it allows to obtain guidance on the behaviour of the PCM throughout the year, in accordance with the variability of external climatic conditions, in order to select the PCM with the most suitable thermophysical properties. The methodology developed is applied to PCM layers with different melting temperatures and subject to climatic conditions of two locations, one with a continental climate and the second one with a Mediterranean climate. The results obtained allowed us to identify which PCM is more suitable in improving the energetic performances of building walls in the heating or cooling period during the year. In particular, the energy analysis highlighted that, in both localities, during the winter period: the lowest energy exiting from the indoor environment is ensured by a PCM with a melting temperature of 15 • C; the highest contribution of energy entering the indoor environment, mainly due to solar radiation, is recorded for a PCM with a melting temperature of 26 • C. During the summer period: the lowest value of energy entering the indoor environment is obtained by a PCM with melting temperature of 26 • C; the highest value of energy exiting from the indoor environment is ensured by a melting temperature equal to 20 • C. In both locations, a PCM with a melting temperature intermediate between those of the winter and summer set points of the indoor environment is the best compromise between winter and summer energy needs for an air-conditioned environment, as it allows obta...

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Analytical model for solidification and melting in a finite PCM in steady periodic regime

Cited by 40 publications

References 16 publications

Experimental validation of the exact analytical solution to the steady periodic heat transfer problem in a PCM layer

Experimental validation of the exact analytical solution to the steady periodic heat transfer problem in a PCM layer

Phase Change Material (PCM) Application in a Modernized Korean Traditional House (Hanok)

A Method for Thermal Dimensioning and for Energy Behavior Evaluation of a Building Envelope PCM Layer by Using the Characteristic Days

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