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A general enthalpy method for modeling solidification processes

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TLDR
In this article, a general implicit source-based enthalpy method is presented for the analysis of solidification systems, which is both robust and efficient, and is illustrated by application to a number of problems taken from recent metallurgical literature.
Abstract
In the present work, a general implicit source-based enthalpy method is presented for the analysis of solidification systems. The proposed approach is both robust and efficient. The performance of the method is illustrated by application to a number of problems taken from recent metallurgical literature.

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Journal ArticleDOI

Mathematical modelling of solidification and melting: a review

TL;DR: The major methods of mathematical modelling of solidification and melting problems are reviewed in this article, where basic guidelines are outlined to choose a correct mathematical formulation for solving solidification or melting problems.
Journal ArticleDOI

Improving the energy discharging performance of a latent heat storage (LHS) unit using fractal-tree-shaped fins

TL;DR: In this article, an innovative fractal-tree-shaped structure is introduced to construct the metal fin of a shell-tube LHS unit, and the effect of length ratio and width index on energy discharge performance is examined and analyzed.
Journal ArticleDOI

Solidification progress and heat transfer analysis of gas-atomized alloy droplets during spray forming

TL;DR: In this article, the authors used the Newtonian heat transfer formulation coupled with the classical heterogeneous nucleation and specific solidification process to predict gas and droplet velocities, droplet temperature, and fractional solidification with flight distance during spray forming, and found that the corresponding solid fractions formed during recalesced, segregated, and eutectic solidifications are linearly related to the degree of undercooling.
References
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Book

Numerical heat transfer and fluid flow

TL;DR: In this article, the authors focus on heat and mass transfer, fluid flow, chemical reaction, and other related processes that occur in engineering equipment, the natural environment, and living organisms.
Book

The finite element method

TL;DR: In this article, the methodes are numeriques and the fonction de forme reference record created on 2005-11-18, modified on 2016-08-08.
Book

Heat Transfer

J. P. Holman
Journal ArticleDOI

A fixed grid numerical modelling methodology for convection-diffusion mushy region phase-change problems

TL;DR: In this article, an enthalpy formulation based fixed grid methodology is developed for the numerical solution of convection-diffusion controlled mushy region phase-change problems, where the basic feature of the proposed method lies in the representation of the latent heat of evolution, and of the flow in the solid-liquid mushy zone, by suitably chosen sources.
Book

Free and moving boundary problems

John Crank
TL;DR: In this paper, a front-tracking method is used to solve moving boundary problems and an analytical solution of seepage problems is proposed. But this method is not suitable for solving free boundary problems.
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