Numerical modelling of a melting-solidification cycle of a phase-change material with complete or partial melting

Rakotondrandisa, Aina; Danaila, Ionut; Danaila, Luminita

doi:10.1016/j.ijheatfluidflow.2018.11.004

Cited by 47 publications

(28 citation statements)

References 35 publications

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“…The model studied in Section 3, coupling the enthalpy equation to the Navier-Stokes equation for the velocity, is the most complete existing model phase-change systems with convection. It thus applies with good results to a wide range of applications [18]. The good results obtained using the Darcy-Brinkman-type equation for the velocity are new and not reported elsewhere.…”

Section: Numerical Illustrationmentioning

confidence: 63%

Existence and Uniqueness of Solution to the Two-Phase Stefan Problem with Convection

2021

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The well posedness of the two-phase Stefan problem with convection is established in L 1 . First we consider the case with a singular enthalpy and we fix the convection velocity. In the second part of the paper we study the case of a smoothed enthalpy, but the convection velocity is the solution to a Navier-Stokes equation. In the last section we give some numerical illustrations of a physical case simulated using the models studied in the paper.

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Section: Numerical Illustrationmentioning

confidence: 63%

Existence and Uniqueness of Solution to the Two-Phase Stefan Problem with Convection

2021

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“…In this process, it is easy to promote the formation and expansion of the internal microcracks of the material. Generally, surface cracks are in opening mode after EDM machining [12]. Therefore, a crack model was established to analyze the residual stress at the crack tip, as shown in Figure 2.…”

Section: Mathematical Model Of Crack Tip Stressmentioning

confidence: 99%

Study on Solidification Process and Residual Stress of SiCp/Al Composites in EDM

Zhang

Chang

2022

Micromachines

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To study the change of residual stress during heating and solidification of SiCp/Al composites, a one-way FSI (Fluid Structure Interaction) model for the solidification process of the molten material is presented. The model used process parameters to obtain the temperature distribution, liquid and solid-state material transformation, and residual stress. The crack initiated by the thermal stress in the recast layer was investigated, and a mathematical model of crack tip stress was proposed. The results showed a wide range of residual stresses from 44 MPa to 404 MPa. The model is validated using experimental data with three points on the surface layer.

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“…To isolate the nonlinearity involved in the enthalpy-temperature relation, Voller et al [50,51] proposed a new method which separates the sensible and latent heat components, and introduced the latent heat component as a nonlinear source term [50,52] in the above equation. This methodology has been widely used in the numerical simulations of the phasechange process and, in general, is referred to as the enthalpy method [53][54][55][56][57][58]. The change in the enthalpy H of a PCM element with mass m over a small change in temperature dT can be written as the change in the sum of the enthalpy of liquid and solid portions…”

Section: Computational Detailsmentioning

confidence: 99%

Phase-Change Process Inside a Small-Radii Cylinder Subjected to Cyclic Convective Boundary Conditions: A Numerical Study

Kanani

Karmakar

Acharya

2021

Journal of Heat Transfer

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We numerically investigate the melting and solidi?cation behavior of phase change materials encapsulated in a small-radii cylinder subjected to a cyclic convective boundary condition (square wave). Initially, we explore the effect of the Stefan and Biot numbers on the non-dimensionalized time required (i.e. reference Fourier number Tref ) for a PCM initially held at Tcold to melt and reach the cross?ow temperature Thot. The increase in either Stefan or Biot number decreases Tref and can be predicted accurately using a correlation developed in this work. The variations of the PCM melt fraction, surface temperature, and heat transfer rate as a function of Fourier number are reported and analyzed for the above process. We further study the effect of the cyclic Fourier number on the periodic melting and freezing process. The melting or freezing front initiates at the outer periphery of the PCM and propagates towards the center. At higher frequencies, multiple two-phase interfaces are generated (propagating inward), and higher overall heat transfer is achieved as the surface temperature oscillates in the vicinity of the melting temperature, which increases the effective temperature difference driving the convective heat transfer.

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Numerical modelling of a melting-solidification cycle of a phase-change material with complete or partial melting

Cited by 47 publications

References 35 publications

Existence and Uniqueness of Solution to the Two-Phase Stefan Problem with Convection

Existence and Uniqueness of Solution to the Two-Phase Stefan Problem with Convection

Study on Solidification Process and Residual Stress of SiCp/Al Composites in EDM

Phase-Change Process Inside a Small-Radii Cylinder Subjected to Cyclic Convective Boundary Conditions: A Numerical Study

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