Numerical study of interaction between the fluid structure and the moving interface during the melting from below in a rectangular closed enclosure

Fteïti, Mehdi; Nasrallah, Sassi Ben

doi:10.1007/s00466-004-0597-6

Cited by 16 publications

(8 citation statements)

References 17 publications

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“…The side of the faster motion of the melting front is not imposed by the physics of the problem but rather induced by the round-off errors generated in the numerical computation. The situation is similar to the case of a cavity fully heated from below where the flow field would consist of a single vortex [5] . As the interface moves toward the cold top side of the enclosure, the temperature gradient in the solid phase increases and the melting rate decreases.…”

Section: Resultsmentioning

confidence: 84%

“…At the beginning of the melting from below, heat conduction acts solely but will be superseded gradually by natural convection. However the shape of the interface varies from one study to another, the mathematical complexities of the melting from below are much more involved than in the melting from the side because of the complex moving boundary condition coupled with the thermo-convective instabilities which have a profound influence on the accuracy of predicting the heat transfer in the Phase Change Material [5] . Additionally, when the buoyancy forces dominate the viscous ones, the flow in the liquid phase can become unsteady, turbulent and various complex flow structures like three-dimensional convection may appear during this buoyancy induced flow transition.…”

Section: Resultsmentioning

confidence: 99%

“…Fteïti et al [5] , studied the melting process of a PCM in a square enclosure heated from below, cooled from the top and the remaining walls are insulated. They presented a numerical simulation where the heat transfer equations were expressed on all the domain of the MCP.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Numerical Study of the Moving Boundary Problem During Melting Process in a Rectangular Cavity Heated from Below

Jellouli¹,

Chouikh²,

Guizani³

et al. 2007

American J. of Applied Sciences

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Abstract:We present an analysis of the melting process in Phase Change Materials (PCM) in a horizontal cavity heated from below, driven by the coupling of transient heat conduction in the solid phase and steady state laminar natural convection in the liquid phase with one of the boundaries of the solution domain that moves. We state the problem in the Cartesian coordinate system; involve the use of a control volume method to solve the full vorticity equation together with the stream function and energy equation. The moving boundary was linearized by a coordinate transformation and immobilized in step time calculation. The results show that the melting front was stabilized at a well defined position when the steady state was reached and the higher solid phase was preserved.

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Section: Resultsmentioning

confidence: 84%

Section: Resultsmentioning

confidence: 99%

See 1 more Smart Citation

Numerical Study of the Moving Boundary Problem During Melting Process in a Rectangular Cavity Heated from Below

Jellouli¹,

Chouikh²,

Guizani³

et al. 2007

American J. of Applied Sciences

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“…The case of particular PCM materials like some liquid metals such as the pure gallium (see e.g. Fteïti and Nasrallah, 2004) will be the subject of a second survey because their temporal physical behaviours require some particular precautions in the numerical simulation procedures. …”

Section: Validation Testsmentioning

confidence: 99%

Modelling of a Phase Change Material melting process heated from below using spectral collocation methods

Batina

Blancher

Kouskou

2014

International Journal of Numerical Methods for Heat &Amp; Fluid Flow

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Purpose -Mathematical and numerical models are developed to study the melting of a Phase Change Material (PCM) inside a 2D cavity. The bottom of the cell is heated at constant and uniform temperature or heat flux, assuming that the rest of the cavity is completely adiabatic. The paper used suitable numerical methods to follow the interface temporal evolution with a good accuracy. The purpose of this paper is to show how the evolution of the latent energy absorbed to melt the PCM depends on the temperature imposed on the lower wall of the cavity. Design/methodology/approach -The problem is written with non-homogeneous boundary conditions. Momentum and energy equations are numerically solved in space by a spectral collocation method especially oriented to this situation. A Crank-Nicolson scheme permits the resolution in time.Findings -The results clearly show the evolution of multicellular regime during the process of fusion and the kinetics of phase change depends on the boundary condition imposed on the bottom cell wall. Thus the charge and discharge processes in energy storage cells can be controlled by varying the temperature in the cell PCM. Substantial modifications of the thermal convective heat and mass transfer are highlighted during the transient regime. This model is particularly suitable to follow with a good accuracy the evolution of the solid/liquid interface in the process of storage/ release energy.Research limitations/implications -The time-dependent physical properties that induce non-linear coupled unsteady terms in Navier-Stokes and energy equations are not taken into account in the present model. The present model is actually extended to these coupled situations. This problem requires smoother geometries. One can try to palliate this disadvantage by constructing smoother approximations of non-smooth geometries. The augmentation of polynomials developments orders increases strongly the computing time. When the external heat flux or temperature imposed at the PCM is much greater than the temperature of the PCM fusion, one must choose carefully some data to assume the algorithms convergence. Practical implications -Among the areas where this work can be used, are: buildings where the PCM are used in insulation and passive cooling; thermal energy storage, the PCM stores energy by changing phase, solid to liquid (fusion); cooling and transport of foodstuffs or pharmaceutical or medical sensitive products, the PCM is used in the food industry, pharmaceutical and medical, to minimize temperature variations of food, drug or sensitive materials; and the textile industry, PCM materials in the textile industry are used in microcapsules placed inside textile fibres. The PCM intervene to regulate heat transfer between the body and the outside. Originality/value -The paper's originality is reflected in the precision of its results, due to the use of a high-accuracy numerical approximation based on collocation spectral methods, and the choice of Chebyshev polynomials basis in both axial and radial directions.

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“…The results showed that the obtained flow patterns were qualitatively consistent with published results. Fteiti and Nasrallah [8] numerically studied the melting process of a pure material in a rectangular http://dx.doi.org/10.1016/j.ijheatmasstransfer.2014. 10.048 0017-9310/Ó 2014 Elsevier Ltd. All rights reserved.…”

Section: Introductionmentioning

confidence: 99%

Numerical investigation on the melting of nanoparticle-enhanced phase change materials (NEPCM) in a bottom-heated rectangular cavity using lattice Boltzmann method

Feng

et al. 2015

International Journal of Heat and Mass Transfer

136

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Numerical study of interaction between the fluid structure and the moving interface during the melting from below in a rectangular closed enclosure

Cited by 16 publications

References 17 publications

Numerical Study of the Moving Boundary Problem During Melting Process in a Rectangular Cavity Heated from Below

Numerical Study of the Moving Boundary Problem During Melting Process in a Rectangular Cavity Heated from Below

Modelling of a Phase Change Material melting process heated from below using spectral collocation methods

Numerical investigation on the melting of nanoparticle-enhanced phase change materials (NEPCM) in a bottom-heated rectangular cavity using lattice Boltzmann method

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