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Natural convection transients and their effects in unidirectional solidification

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TLDR
In this article, a formulation is given and computed solutions are presented for transient solidification accompanied by natural convection in a vertical slot, where the simplifying assumptions made limit the validity of the solutions to systems where GrPr < 500, i.e., to narrow slots or to low values of the superheat.
Abstract
A formulation is given and computed solutions are presented for transient solidification accompanied by natural convection in a vertical slot. It was found that appreciable fluid velocities may be produced by natural convection, the values of which could be comparable to the terminal rising velocities of typical nonmetallic inclusions. The simplifying assumptions made limit the validity of the solutions to systems where GrPr < 500,i.e., to narrow slots or to low values of the superheat; nonetheless, the results should be indicative of the effects of convection at much higher values of GrPr.

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Journal ArticleDOI

Enthalpy-porosity technique for modeling convection-diffusion phase change: application to the melting of a pure metal

TL;DR: In this article, the melting of pure gallium in a rectangular cavity has been numerically investigated using the enthalpy-porosity approach for modeling combined convection-diffusion phase change.
Journal ArticleDOI

A bibliography on moving-free boundary problems for the heat-diffusion equation. The stefan and related problems

Domingo A. Tarzia
- 01 Jul 2000 - 
TL;DR: Tarzia et al. as discussed by the authors presented a bibliografía on moving and free boundary problems for the heatdiffusion equation, particularly regarding the Stefan and related problems, which contains 5869 titles referring to 588 scientific journals, 122 books, 88 symposia, 30 collections, 59 thesis and 247 technical reports.
Journal ArticleDOI

Heat Flow during Rapid Solidification of Undercooled Metal Droplets

TL;DR: In this paper, a new mathematical formulation and solution methodology is developed for simulating the solidification process in an undercooled spherical droplet from a single nucleation event occurring at its surface.
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Investigation of Fluid Flow and Steel Cleanliness in the Continuous Casting Strand

TL;DR: In this paper, the authors investigated multiphase fluid flow in the submerged entry nozzle (SEN) and the mold with gas injection with 0.6-scale water model experiments, industrial measurements, and numerical simulations.
Journal ArticleDOI

Rapid solidification processing

TL;DR: In this article, the authors present a review of recent work on rapid solidification of metals and ceramics, along with examples of applications and an assessment of the future directions and prospects for RSP.
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.
Book

Boundary layer theory

TL;DR: The flow laws of the actual flows at high Reynolds numbers differ considerably from those of the laminar flows treated in the preceding part, denoted as turbulence as discussed by the authors, and the actual flow is very different from that of the Poiseuille flow.
Book

Principles of Solidification

TL;DR: Solidification is the process by which a liquid is transformed into a crystalline solid as discussed by the authors, in which the solid that forms first is solvent rich as distinct from crystallisation, and the crystals that are formed are solute rich.
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