Analysis of Melting in the Presence of Natural Convection in the Melt Region

Sparrow, E. M.; Patankar, S. V.; Ramadhyani, S.

doi:10.1115/1.3450736

Cited by 226 publications

(60 citation statements)

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“…(36) the elements in domains n 1 (t) and n 2 (t) must satisfy the compatibility requirement at the moving interface. With this restriction in mind, the general finite element formulation for equation (6) becomes:…”

Section: Description Of the Problemmentioning

confidence: 99%

“…However, in recent years, the study of fluid flow in the melt and the study of the effects of fluid flow on the solid-liquid interface morphology has acquired major importance [1,[4][5][6][7][8][9][10][11][12][13][14][15][16][17]. Fluid flow due to natural convection occurs in a majority of solidification processes where parts of the melt are at a temperature higher than the phase transition temperature.…”

Section: Introductionmentioning

confidence: 99%

“…They used iterative finite difference and conformal transformation of the domain. Sparrow, Patankar and Ramahyani [6] have analyzed the melting of a solid in a cylindrical enclosure considering natural convection in the liquid. They applied the implicit finite difference scheme to the transformed domain in which the interface had a tractable shape.…”

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confidence: 99%

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A finite element method for the study of solidification processes in the presence of natural convection

Yoo

Rubinsky

1986

Numerical Meth Engineering

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A new numerical technique has been developed for the analysis of two‐dimensional transient solidification processes in the presence of time‐dependent natural convection in the melt. The method can cope with irregular, transient morphologies of the solid—liquid interface using a new Galerkin formulation for the energy balance on the solid—liquid interface. The finite element solution to the Galerkin formulation yields the displacement of individual nodes on the solid—liquid interface. The displacement of the nodes is expressed by uncoupled components in the x and y directions. The fluid flow problem was solved using a ‘penalty’ formulation. Numerical experiments were performed for Rayleigh numbers as high as 106 to demonstrate the method and to indicate the effect of natural convection on the solid—liquid interface morphology.

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Section: Description Of the Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A finite element method for the study of solidification processes in the presence of natural convection

Yoo

Rubinsky

1986

Numerical Meth Engineering

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“…In this method, [1][2][3] the temperature distributions of solid and liquid phases are solved separately and they are linked by the Stefan condition and the solidification temperature at the solid/liquid interface. At every time step, the location of the interface needs to be traced out, which makes the numerical analysis complicated.…”

Section: Front Tracking Methodsmentioning

confidence: 99%

Modified Effective Specific Heat Method of Solidification Problems

Liu

Long

2006

Mater. Trans.

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In the heat-transfer analysis of a solidification process, the effective specific heat method is conceptually simple to apply while dealing with the latent heat problem. The implementation of computer program is very easy for this method. However, in a time step, if a nodal temperature enters, leaves or jumps over the artificial mushy zone of a pure substance, it cannot calculate the released or absorbed latent heat correctly. If the latent heat is large or the temperature variation is very large, the discontinuity of the effective specific heat will make the iterative convergence difficult to reach. In this work, a modified method is proposed to solve these problems. The method modifies the relation between the temperature and effective specific heat for a solidification process by considering the effect that the temperature at either of two successive time steps is in the mushy zone. The Stefan and Neumann problems with exact solutions were used to test the modified method. The computing results will be compared with those of the effective specific heat method and the enthalpy method. Finally, the feasibility of the modified method is further testified by using a crystal growth problem of GaAs in a Bridgman furnace.

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“…Simulation of melting in cylindrical enclosures has also received considerable attention. The early work of Sparrow et al [57] considered melting that is induced from a vertical isothermal cylindrical surface placed concentrically in a cylindrical enclosure housing a PCM. The model involved use of a coordinate transformation to describe the evolving shape of the melt region, and an implicit finite difference approach was employed to simulate natural convection in the melt.…”

mentioning

confidence: 99%

Research and Development for Novel Thermal Energy Storage Systems (TES) for Concentrating Solar Power (CSP)

Faghri¹,

Bergman²,

Pitchumani³

2013

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Executive Summary:The overall objective was to develop innovative heat transfer devices and methodologies for novel thermal energy storage systems for concentrating solar power generation involving phase change materials (PCMs). Specific objectives included embedding thermosyphons and/or heat pipes (TS/HPs) within appropriate phase change materials to significantly reduce thermal resistances within the thermal energy storage system of a large-scale concentrating solar power plant and, in turn, improve performance of the plant. Experimental, system level and detailed comprehensive modeling approaches were taken to investigate the effect of adding TS/HPs on the performance of latent heat thermal energy storage (LHTES) systems. Experimental results proved the superior performance of HPs to increase the heat transfer rates compared to finned and non-finned cases. Quantitatively, inclusion of heat pipes increased PCM melting rates by approximately 60%, while the fins were not as effective. During solidification, the heat pipe-assisted configuration transferred approximately twice the energy between a heat transfer fluid and the PCM, relative to both the fin-assisted LHTES and the non-heat pipe, non-fin configurations.Comprehensive multiphase multi-dimensional simulations were conducted to provide a better understanding of the fundamental physical phenomena involved in thermal energy storage in a phase change media with embedded TS/HPs, and also to provide input for the system level model. A system level model, leveraged by the input from the comprehensive model, was developed to predict the response of large-scale TS/HP-assisted LHTES systems in a computationally-effective manner. Consistent with the experimental results, the results of the system level model also demonstrated a significant increase in heat transfer rates associated with HP-assisted LHTES systems.The developed system level model was employed to predict the performance of a large-scale LHTES system utilizing multiple PCMs in a cascaded configuration. It was shown that the maximum exergy recovery can be achieved by using a cascaded configuration. Optimization studies were performed using the system level model and the preferred configurations of HPs in the LHTES systems were identified. Exergy analysis of LHTES systems was carried out considering the practical constraints imposed on the system in solar applications. Novel guidelines were proposed for design and optimization of LHTES systems for solar applications. Economic aspects of TS/HPassisted LHTES systems were also investigated and it was shown that these systems are cost competitive with the state of the art thermal energy storage systems currently in use. DE-FG36-08GO18146Research and Development for Novel TES Systems for CSP University of Connecticut 3 Background:Energy storage capability is desirable in solar and wind electric power applications due to the intermittent nature of the energy generated. In solar thermal generation, thermal energy storage is the preferred energy storage mode [1]...

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Analysis of Melting in the Presence of Natural Convection in the Melt Region

Cited by 226 publications

References 0 publications

A finite element method for the study of solidification processes in the presence of natural convection

A finite element method for the study of solidification processes in the presence of natural convection

Modified Effective Specific Heat Method of Solidification Problems

Research and Development for Novel Thermal Energy Storage Systems (TES) for Concentrating Solar Power (CSP)

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