A similarity solution for phase change of binary alloy with shrinkage or expansion

A similarity solution for solidification of an undercooled binary alloy is developed including the effect of shrinkage or expansion due to change in the density. The proposed similarity solution takes into account the change in density of the alloy while undergoing a phase change. Thermo-physical pr...

Full description

Bibliographic Details
Main Authors: A. Jakhar, P. Rath, S.K. Mahapatra
Format: Article
Language:English
Published: Elsevier 2016-09-01
Series:Engineering Science and Technology, an International Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2215098616300313
_version_ 1819292340400947200
author A. Jakhar
P. Rath
S.K. Mahapatra
author_facet A. Jakhar
P. Rath
S.K. Mahapatra
author_sort A. Jakhar
collection DOAJ
description A similarity solution for solidification of an undercooled binary alloy is developed including the effect of shrinkage or expansion due to change in the density. The proposed similarity solution takes into account the change in density of the alloy while undergoing a phase change. Thermo-physical properties are assumed to be constant. An analytical solution (which is an outcome of the similarity solution) for temperature and concentration distribution has been established. The effect of the density ratio and Lewis number on both interface motion and conjugate heat and mass transfer is studied. It is found that the interface moves faster with the decrease in density ratio and initial temperature during solidification.
first_indexed 2024-12-24T03:52:59Z
format Article
id doaj.art-4b04cd23e4e544eeb1f6aeb5cbf69528
institution Directory Open Access Journal
issn 2215-0986
language English
last_indexed 2024-12-24T03:52:59Z
publishDate 2016-09-01
publisher Elsevier
record_format Article
series Engineering Science and Technology, an International Journal
spelling doaj.art-4b04cd23e4e544eeb1f6aeb5cbf695282022-12-21T17:16:33ZengElsevierEngineering Science and Technology, an International Journal2215-09862016-09-011931390139910.1016/j.jestch.2016.04.002A similarity solution for phase change of binary alloy with shrinkage or expansionA. JakharP. RathS.K. MahapatraA similarity solution for solidification of an undercooled binary alloy is developed including the effect of shrinkage or expansion due to change in the density. The proposed similarity solution takes into account the change in density of the alloy while undergoing a phase change. Thermo-physical properties are assumed to be constant. An analytical solution (which is an outcome of the similarity solution) for temperature and concentration distribution has been established. The effect of the density ratio and Lewis number on both interface motion and conjugate heat and mass transfer is studied. It is found that the interface moves faster with the decrease in density ratio and initial temperature during solidification.http://www.sciencedirect.com/science/article/pii/S2215098616300313Binary alloySingle phaseDensity ratioLewis numberSolid–liquid interface
spellingShingle A. Jakhar
P. Rath
S.K. Mahapatra
A similarity solution for phase change of binary alloy with shrinkage or expansion
Engineering Science and Technology, an International Journal
Binary alloy
Single phase
Density ratio
Lewis number
Solid–liquid interface
title A similarity solution for phase change of binary alloy with shrinkage or expansion
title_full A similarity solution for phase change of binary alloy with shrinkage or expansion
title_fullStr A similarity solution for phase change of binary alloy with shrinkage or expansion
title_full_unstemmed A similarity solution for phase change of binary alloy with shrinkage or expansion
title_short A similarity solution for phase change of binary alloy with shrinkage or expansion
title_sort similarity solution for phase change of binary alloy with shrinkage or expansion
topic Binary alloy
Single phase
Density ratio
Lewis number
Solid–liquid interface
url http://www.sciencedirect.com/science/article/pii/S2215098616300313
work_keys_str_mv AT ajakhar asimilaritysolutionforphasechangeofbinaryalloywithshrinkageorexpansion
AT prath asimilaritysolutionforphasechangeofbinaryalloywithshrinkageorexpansion
AT skmahapatra asimilaritysolutionforphasechangeofbinaryalloywithshrinkageorexpansion
AT ajakhar similaritysolutionforphasechangeofbinaryalloywithshrinkageorexpansion
AT prath similaritysolutionforphasechangeofbinaryalloywithshrinkageorexpansion
AT skmahapatra similaritysolutionforphasechangeofbinaryalloywithshrinkageorexpansion