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Journal ArticleDOI

Numerical solution of moving boundary problems by boundary immobilization and a control-volume-based finite-difference scheme

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TLDR
In this paper, a methodology is presented for numerical solution of transient two-dimensional diffusion-type problems (e.g., heat conduction) in which one of the boundaries of the solution domain moves with time.
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This article is published in International Journal of Heat and Mass Transfer.The article was published on 1981-08-01. It has received 67 citations till now. The article focuses on the topics: Control volume & Boundary (topology).

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Citations
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Journal ArticleDOI

Modelling of microstructure formation in solidification processes

TL;DR: In this paper, the authors introduce the basic concepts of macroscopic and microscopic phenomena which enter normally into any solidification process, and the latest developments in numerical techniques which are used to solve the continuity equations are briefly presented together with the advantages and inconvenience.
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A comparison of different solution methodologies for melting and solidification problems in enclosures

TL;DR: In this article, a comparison of two frequently used computational techniques for solving phase-change problems is presented, where the governing equations for the conservation of mass, momentum, and energy are solved using a control-volume-based discretization scheme.
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Study on a PCM heat storage system for rapid heat supply

TL;DR: A thermal energy storage system employing phase change material (PCM) FNP-0090 (product of Nippon Seiro Co. Ltd.) for rapid heat discharge was studied numerically and experimentally as mentioned in this paper.
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Moving boundary problem: heat conduction in the solid phase of a phase-change material during melting driven by natural convection in the liquid

TL;DR: In this article, the authors present an analysis of the melting process in a rectangular enclosure, driven by the coupling of heat conduction in the solid phase and natural convection in the melt of the phase change material (PCM).
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Heat transfer analysis of a latent heat thermal energy storage system using graphite foam for concentrated solar power

TL;DR: In this article, the effect of a relatively new, high thermal conductivity graphite foam was considered in the phase-change material region and an 8-h discharging transient was analyzed for an LHTES system.
References
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Book

Conduction of Heat in Solids

TL;DR: In this paper, a classic account describes the known exact solutions of problems of heat flow, with detailed discussion of all the most important boundary value problems, including boundary value maximization.
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Numerical Method for Multi-Dimensional Freezing Problems in Arbitrary Domains

TL;DR: In this article, the change of variable method introduced by Landau for the one-dimensional problem is extended to the multi-dimensional using an independent variable which takes constant values at the boundary and the freezing front.
Journal ArticleDOI

Analysis of Two-Dimensional Diffusion-Controlled Moving Boundary Problems

TL;DR: In this article, the authors present a technique for the analysis of unsteady, two-dimensional diffusive heat-or mass-transfer problems characterized by moving irregular boundaries, including an immobilization transformation and a numerical scheme.