On the importance of solid deformations in convection-dominated liquid/solid phase change of pure materials

Daniela Mansutti; Edoardo Bucchignani

Applications of Mathematics (2011)

  • Volume: 56, Issue: 1, page 117-136
  • ISSN: 0862-7940

Abstract

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We analyse the effect of the mechanical response of the solid phase during liquid/solid phase change by numerical simulation of a benchmark test based on the well-known and debated experiment of melting of a pure gallium slab counducted by Gau & Viskanta in 1986. The adopted mathematical model includes the description of the melt flow and of the solid phase deformations. Surprisingly the conclusion reached is that, even in this case of pure material, the contribution of the solid phase to the balance of the momentum of the system influences significantly the numerical solution and is necessary in order to get a better match with the experimental observations. Here an up-to-date list of the most meaningful mathematical models and numerical simulations of this test is discussed and the need is shown of an accurate revision of the numerical simulations of melting/solidification processes of pure materials (e.g. artificial crystal growth) produced in the last thirty years and not accounting for the solid phase mechanics.

How to cite

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Mansutti, Daniela, and Bucchignani, Edoardo. "On the importance of solid deformations in convection-dominated liquid/solid phase change of pure materials." Applications of Mathematics 56.1 (2011): 117-136. <http://eudml.org/doc/116507>.

@article{Mansutti2011,
abstract = {We analyse the effect of the mechanical response of the solid phase during liquid/solid phase change by numerical simulation of a benchmark test based on the well-known and debated experiment of melting of a pure gallium slab counducted by Gau & Viskanta in 1986. The adopted mathematical model includes the description of the melt flow and of the solid phase deformations. Surprisingly the conclusion reached is that, even in this case of pure material, the contribution of the solid phase to the balance of the momentum of the system influences significantly the numerical solution and is necessary in order to get a better match with the experimental observations. Here an up-to-date list of the most meaningful mathematical models and numerical simulations of this test is discussed and the need is shown of an accurate revision of the numerical simulations of melting/solidification processes of pure materials (e.g. artificial crystal growth) produced in the last thirty years and not accounting for the solid phase mechanics.},
author = {Mansutti, Daniela, Bucchignani, Edoardo},
journal = {Applications of Mathematics},
keywords = {liquid/solid phase change; deformation; convection; numerical simulation; finite differences; liquid/solid phase change; deformation; convection; numerical simulation; finite difference},
language = {eng},
number = {1},
pages = {117-136},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the importance of solid deformations in convection-dominated liquid/solid phase change of pure materials},
url = {http://eudml.org/doc/116507},
volume = {56},
year = {2011},
}

TY - JOUR
AU - Mansutti, Daniela
AU - Bucchignani, Edoardo
TI - On the importance of solid deformations in convection-dominated liquid/solid phase change of pure materials
JO - Applications of Mathematics
PY - 2011
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 56
IS - 1
SP - 117
EP - 136
AB - We analyse the effect of the mechanical response of the solid phase during liquid/solid phase change by numerical simulation of a benchmark test based on the well-known and debated experiment of melting of a pure gallium slab counducted by Gau & Viskanta in 1986. The adopted mathematical model includes the description of the melt flow and of the solid phase deformations. Surprisingly the conclusion reached is that, even in this case of pure material, the contribution of the solid phase to the balance of the momentum of the system influences significantly the numerical solution and is necessary in order to get a better match with the experimental observations. Here an up-to-date list of the most meaningful mathematical models and numerical simulations of this test is discussed and the need is shown of an accurate revision of the numerical simulations of melting/solidification processes of pure materials (e.g. artificial crystal growth) produced in the last thirty years and not accounting for the solid phase mechanics.
LA - eng
KW - liquid/solid phase change; deformation; convection; numerical simulation; finite differences; liquid/solid phase change; deformation; convection; numerical simulation; finite difference
UR - http://eudml.org/doc/116507
ER -

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