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Sensitivity of Numerical Predictions to the Permeability Coefficient in Simulations of Melting and Solidification Using the Enthalpy-Porosity Method

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  • Amin Ebrahimi

    (Department of Materials Science and Engineering, Delft University of Technology, Mekelweg 2, 2628 CD Delft, The Netherlands)

  • Chris R. Kleijn

    (Department of Chemical Engineering, Delft University of Technology, van der Maasweg 9, 2629 HZ Delft, The Netherlands)

  • Ian M. Richardson

    (Department of Materials Science and Engineering, Delft University of Technology, Mekelweg 2, 2628 CD Delft, The Netherlands)

Abstract

The high degree of uncertainty and conflicting literature data on the value of the permeability coefficient (also known as the mushy zone constant), which aims to dampen fluid velocities in the mushy zone and suppress them in solid regions, is a critical drawback when using the fixed-grid enthalpy-porosity technique for modelling non-isothermal phase-change processes. In the present study, the sensitivity of numerical predictions to the value of this coefficient was scrutinised. Using finite-volume based numerical simulations of isothermal and non-isothermal melting and solidification problems, the causes of increased sensitivity were identified. It was found that depending on the mushy-zone thickness and the velocity field, the solid–liquid interface morphology and the rate of phase-change are sensitive to the permeability coefficient. It is demonstrated that numerical predictions of an isothermal phase-change problem are independent of the permeability coefficient for sufficiently fine meshes. It is also shown that sensitivity to the choice of permeability coefficient can be assessed by means of an appropriately defined Péclet number.

Suggested Citation

  • Amin Ebrahimi & Chris R. Kleijn & Ian M. Richardson, 2019. "Sensitivity of Numerical Predictions to the Permeability Coefficient in Simulations of Melting and Solidification Using the Enthalpy-Porosity Method," Energies, MDPI, vol. 12(22), pages 1-18, November.
    • Handle: RePEc:gam:jeners:v:12:y:2019:i:22:p:4360-:d:287361
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    References listed on IDEAS

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    1. Jaafar, Mohamad Ali & Rousse, Daniel R. & Gibout, Stéphane & Bédécarrats, Jean-Pierre, 2017. "A review of dendritic growth during solidification: Mathematical modeling and numerical simulations," Renewable and Sustainable Energy Reviews, Elsevier, vol. 74(C), pages 1064-1079.
    2. Vogel, J. & Felbinger, J. & Johnson, M., 2016. "Natural convection in high temperature flat plate latent heat thermal energy storage systems," Applied Energy, Elsevier, vol. 184(C), pages 184-196.
    3. Prieto, M.M. & González, B., 2016. "Fluid flow and heat transfer in PCM panels arranged vertically and horizontally for application in heating systems," Renewable Energy, Elsevier, vol. 97(C), pages 331-343.
    4. Kousksou, T. & Mahdaoui, M. & Ahmed, A. & Msaad, A. Ait, 2014. "Melting over a wavy surface in a rectangular cavity heated from below," Energy, Elsevier, vol. 64(C), pages 212-219.
    5. Dutil, Yvan & Rousse, Daniel R. & Salah, Nizar Ben & Lassue, Stéphane & Zalewski, Laurent, 2011. "A review on phase-change materials: Mathematical modeling and simulations," Renewable and Sustainable Energy Reviews, Elsevier, vol. 15(1), pages 112-130, January.
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