An overview on design methodologies for liquid–solid PCM storage systems

https://doi.org/10.1016/j.rser.2015.07.119Get rights and content

Abstract

Energy storage can facilitate the transition process from the actual energetic model to a model based on renewable energies. A lot of attention has been put in such technology, being the use of phase change materials (PCM) of high interest. However, design methodologies for PCM storage systems are still a limiting factor for its deployment. This paper compiles and structures the most common and promising design methodologies and highlights their usefulness and limitations. These methodologies are classified in six types: (1) empirical correlations and characterizing parameters, (2) dimensional analysis and correlations, (3) effectiveness–NTU, (4) Log Mean Temperature Difference (LMTD), (5) Conduction Transfer Functions (CTF), and (6) numerical models. Dimensionless correlations and effectiveness–NTU are the most common and straight-forward methods as well as the ones that offer more possibilities for general solutions. Empirical correlations and numerical models are problem based and difficult to generalize. On the other hand, the adaptation of LMTD and CTF to PCM systems still requires detailed research.

Introduction

In the past decades a lot of attention has been put in energy systems. The unsustainable energetic model and the scarcity of resources, as well as the contribution of fossil fuels to global warming resulted in a growing concern about energy efficiency and renewable sources [1].

One key technology to facilitate the implementation of renewable energies and to enhance energy efficiency is energy storage. It helps to improve energy management as well as to bridge the mismatch between energy production and demand, common in renewable systems [2].

Several technologies are available depending on the kind of energy that needs to be stored. Within them, thermal energy storage (TES) has been rapidly developing in the past years, with especial effort in latent heat storage systems [3], [4].

Latent heat takes advantage of solid/liquid phase change in order to store high amounts of energy with small volumes of material. Moreover, the energy is stored at an almost constant temperature, since the phase change process occurs at a very narrow temperature range. Depending on the application, a suitable phase change material (PCM) must be selected.

A lot of effort has been made in the development and testing of different PCM storage systems [5], [6], [7], [8], [9], [10]. Heat transfer is usually the main limitation in the design process and, besides, common design methodologies of heat exchangers and building envelopes are not always applicable due to the non-linear behavior of PCM. Thus, new design methods are necessary.

Usually, design methods for PCM systems are based on numerical models developed for each specific application [11]. This process strongly limits the implementation of such systems in real applications, since these tools are only used at research level. However, some straight-forward design methods are available, as well as commercial software that incorporate the capability to simulate PCM systems.

These methodologies are currently scattered in the literature, making their use difficult among architects and engineers and also for researchers to validate and extend them. Therefore, there is a need to compile and structure all this information in order to clearly present the available methodologies and its range of validity, and to identify new research opportunities.

This paper reviews the most common design methodologies, highlighting their limitations and exploring the different approaches available for its adaptation to PCM systems.

Section snippets

Requirements and considerations for the design

Many energy systems require of thermal energy storage, either for heat or cold, for a good performance. Up to date, most storage facilities use a single-phase storage material for that purpose. The use of latent heat increases the energy density of the storage with high temperature control close to the melting point. Nevertheless, some problems and requirements must be fulfilled.

Design methodologies

Several methodologies are commonly used to design both storage devices and building envelopes. Most of these methods rely on the linearity of conventional technologies which simplify the equations behind the phenomena. However, phase change materials are based on latent heat, which results in a non-linearity of the enthalpy–temperature function that strongly limits the application of conventional design methods.

In this section, different design methodologies proposed in the literature are

Future trends

In this paper the most common approaches used to design PCM systems have been reviewed and analyzed. Nevertheless, innovative methods are under development in order to face the new challenges of the future.

Environmental issues are of great concert for the society and a sustainable development requires not only the evaluation and design of efficient systems in terms of energy use, but also in terms of life cycle. Some work has been done in the past years regarding the evaluation of PCM systems

Conclusions

In the present paper, design methodologies for PCM systems are compiled, reviewed and structured, highlighting their usefulness and limitations. These methodologies are classified in six types: (1) empirical correlations and characterizing parameters, (2) dimensional analysis and correlations, (3) effectiveness–NTU, (4) Log Mean Temperature Difference (LMTD), (5) Conduction Transfer Functions (CTF), and (6) numerical models.

From these groups, dimensionless correlations and effectiveness–NTU are

Acknowledgments

The research leading to these results has received funding from the European Union׳s Seventh Framework Program (FP7/2007–2013) under Grant agreement no. PIRSES-GA-2013-610692 (INNOSTORAGE). This work was partially funded by the Spanish government (ENE2011-28269-C03-01 and ENE2011-22722). The authors would like to thank the Catalan Government for the quality accreditation given to their research group (2014 SGR 123).

References (155)

  • L.F. Cabeza et al.

    Materials used as PCM in thermal energy storage in buildings: a review

    Renew Sustain Energy Rev

    (2011)
  • K. Pielichowska et al.

    Phase change materials for thermal energy storage

    Prog Mater Sci

    (2014)
  • E. Oró et al.

    Corrosion of metal and polymer containers for use in PCM cold storage

    Appl Energy

    (2013)
  • S. Guillot et al.

    Corrosion effects between molten salts and thermal storage material for concentrated solar power plants

    Appl Energy

    (2012)
  • M.K. Rathod et al.

    Thermal stability of phase change materials used in latent heat energy storage systems: a review

    Renew Sustain Energy Rev

    (2013)
  • D.H. Choi et al.

    Thermal conductivity and heat transfer performance enhancement of phase change materials (PCM) containing carbon additives for heat storage application

    Int J Refrig

    (2014)
  • N.S. Dhaidan et al.

    Experimental and numerical investigation of melting of NePCM inside an annular container under a constant heat flux including the effect of eccentricity

    Int J Heat Mass Transf

    (2013)
  • R.V. Seeniraj et al.

    Performance enhancement of solar dynamic LHTS Module having both fins and multiple PCM

    Sol Energy

    (2008)
  • N.H.S. Tay et al.

    Comparison of pinned and finned tubes in a phase change thermal energy storage system using CFD

    Appl Energy

    (2013)
  • S. Pincemin et al.

    Highly conductive composites made of phase change materials and graphite for thermal storage

    Sol Energy Mater Sol Cells

    (2008)
  • X. Py et al.

    Parafin/porous–graphite-matrix composite as a high and constant power thermal storage material

    Int J Heat Mass Transf

    (2001)
  • A. Solé et al.

    Review of the T-history method to determine thermophysical properties of phase change materials (PCM)

    Renew Sustain Energy Rev

    (2013)
  • A. Lazaro et al.

    Intercomparative tests on phase change materials characterization with differential scanning calorimeter

    Appl Energy

    (2013)
  • B.M. Diaconu

    Transient thermal response of a PCS heat storage system

    Energy Build

    (2009)
  • L.F. Cabeza et al.

    Unconventional experimental technologies available for phase change materials (PCM) characterization. Part 1. Thermophysical properties

    Renew Sustainable Energy Rev

    (2015)
  • M. Rezaei et al.

    Performance and cost analysis of phase change materials with different melting temperatures in heating systems

    Energy

    (2013)
  • M. Noro et al.

    Solar cooling and heating plants: an energy and economic analysis of liquid sensible vs phase change material (PCM) heat storage

    Int J Refrig

    (2014)
  • M. Navidbakhsh et al.

    Four E analysis and multi-objective optimization of an ice storage system incorporating PCM as the partial cold storage for air conditioning applications

    Appl Therm Eng

    (2013)
  • D.A. Neeper

    Thermal dynamics of wallboard with latent heat storage

    Sol Energy

    (2000)
  • G. Evola et al.

    A methodology for investigating the effectiveness of PCM wallboards for summer thermal comfort in buildings

    Build Environ

    (2013)
  • S. Jegadheeswaran et al.

    Performance enhancement in latent heat thermal storage system: a review

    Renew Sustain Energy Rev

    (2009)
  • F. Agyenim et al.

    A review of materials, heat transfer and phase change problem formulation for latent heat thermal energy storage systems (LHTESS)

    Renew Sustain Energy Rev

    (2010)
  • M. Liu et al.

    Review on storage materials and thermal performance enhancement techniques for high temperature phase change thermal storage systems

    Renew Sustain Energy Rev

    (2012)
  • A. Lazaro et al.

    PCM–air heat exchangers for free-cooling applications in buildings: empirical model and application to design

    Energy Convers Manag

    (2009)
  • I.W. Eames et al.

    Freezing and melting of water in spherical enclosures of the type used in thermal (ice) storage systems

    Appl Therm Eng

    (2002)
  • A. Hasan

    Phase change material energy storage system employing palmitic acid

    Sol Energy

    (1994)
  • V. Shatikian et al.

    Numerical investigation of a PCM-based heat sin with internal fins

    Int J Heat Mass Transf

    (2005)
  • B.W. Webb et al.

    On the characteristic length scale for correlating melting heat transfer data

    Int Commun Heat Mass Transf

    (1985)
  • C.J. Ho et al.

    Inward solid-liquid phase-change heat transfer in a rectangular cavity with conducting vertical walls

    Int J Heat Mass Transf

    (1984)
  • F. Wolff et al.

    Solidification of pure metal at a vertical wall in the presence of liquid superheat

    Int J Heat Mass Transf

    (1988)
  • D. Pal et al.

    Melting in a side heated tall enclosure by a uniformly dissipating heat source

    Int J Heat Mass Transf

    (2001)
  • P. Brousseau et al.

    Study of thermal performance of a multi-layer PCM storage unit

    Energy Convers Manag

    (1996)
  • A. Bastani et al.

    Designing building envelope with PCM wallboards: design tool development

    Renew Sustain Energy Rev

    (2014)
  • V. Shatikian et al.

    Numerical investigation of a PCM-based heat sink with internal fins: constant heat flux

    Int J Heat Mass Transf

    (2008)
  • Y. Kozak et al.

    Experimental and numerical investigation of a hybrid PCM–air heat sink

    Appl Therm Eng

    (2013)
  • D.S. Riley et al.

    The inward solidification of spheres and circular cylinders

    Int J Heat Mass Transf

    (1974)
  • V.R. Voller et al.

    Estimating the solidification/melting times of cylindrically symmetric regions

    Int J Heat Mass Transf

    (1981)
  • C.J. Ho et al.

    Heat transfer during inward melting in a horizontal tube

    Int J Heat Mass Transf

    (1984)
  • E.M. Sparrow et al.

    Melting in a horizontal tube with the solid either constrained or free to fall under gravity

    Int J Heat Mass Transf

    (1986)
  • M. Bareiss et al.

    An analytical solution of the heat transfer process during melting of an unfixed solid phase change material inside a horizontal tube

    Int J Heat Mass Transf

    (1984)
  • Cited by (43)

    View all citing articles on Scopus
    View full text