Similarity Solution for Phase Change of Dilute Binary Isomorphous Alloy with Density Variation during Phase Change
A similarity solution for conduction dominated solidification of a dilute binary isomorphous alloy has been developed. The effect solidification due to density change during phase transformation has been highlighted and investigated in detail. The governing equations for solid, liquid and mushy phas...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Polish Academy of Sciences
2023-09-01
|
| Series: | Archives of Metallurgy and Materials |
| Subjects: | |
| Online Access: | https://journals.pan.pl/Content/128443/PDF/AMM-2023-3-34-Sharma.pdf |
| _version_ | 1797682217913155584 |
|---|---|
| author | A. Jakhar L. Sharma P. Rath S. Kumar Mahapatra |
| author_facet | A. Jakhar L. Sharma P. Rath S. Kumar Mahapatra |
| author_sort | A. Jakhar |
| collection | DOAJ |
| description | A similarity solution for conduction dominated solidification of a dilute binary isomorphous alloy has been developed. The effect solidification due to density change during phase transformation has been highlighted and investigated in detail. The governing equations for solid, liquid and mushy phase has been proposed, taking into account the effect of shrinkage or expansion due to density change during phase change. The thermo-physical properties (thermal conductivity and specific heat), equilibrium temperature and phase fraction are evaluated within the mushy zone using averaging technique. The effect of equilibrium and non-equilibrium solidification is investigated using Lever and Scheil’s rule models respectively. In addition, the effect of boundary and initial temperature on solidification behavior of the alloy is also addressed. It has been observed that the interface (liquidus and solidus) moves faster with increase in density ratio and decrease in boundary and initial temperature. No major changes in temperature distribution and interface position has been observed with variation partition coefficient and microscale behavior model (Lever rule and Scheil’s rule). |
| first_indexed | 2024-03-11T23:56:21Z |
| format | Article |
| id | doaj.art-c4435027feee4019a95d826915a416ef |
| institution | Directory Open Access Journal |
| issn | 2300-1909 |
| language | English |
| last_indexed | 2024-03-11T23:56:21Z |
| publishDate | 2023-09-01 |
| publisher | Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Metallurgy and Materials |
| spelling | doaj.art-c4435027feee4019a95d826915a416ef2023-09-18T11:14:42ZengPolish Academy of SciencesArchives of Metallurgy and Materials2300-19092023-09-01vol. 68No 310871102https://doi.org/10.24425/amm.2023.145479Similarity Solution for Phase Change of Dilute Binary Isomorphous Alloy with Density Variation during Phase ChangeA. Jakhar0https://orcid.org/0000-0001-6057-8953L. Sharma1https://orcid.org/0000-0002-3803-4797P. Rath2https://orcid.org/0000-0002-1347-0357S. Kumar Mahapatra3https://orcid.org/0000-0003-4998-2714School of Mechanical Sciences, IIT Bhubaneswar, Bhubaneswar, 751012, IndiaChandigarh University, University Centre of Research & Development, Mohali-140413, PunjabSchool of Mechanical Sciences, IIT Bhubaneswar, Bhubaneswar, 751012, IndiaSchool of Mechanical Sciences, IIT Bhubaneswar, Bhubaneswar, 751012, IndiaA similarity solution for conduction dominated solidification of a dilute binary isomorphous alloy has been developed. The effect solidification due to density change during phase transformation has been highlighted and investigated in detail. The governing equations for solid, liquid and mushy phase has been proposed, taking into account the effect of shrinkage or expansion due to density change during phase change. The thermo-physical properties (thermal conductivity and specific heat), equilibrium temperature and phase fraction are evaluated within the mushy zone using averaging technique. The effect of equilibrium and non-equilibrium solidification is investigated using Lever and Scheil’s rule models respectively. In addition, the effect of boundary and initial temperature on solidification behavior of the alloy is also addressed. It has been observed that the interface (liquidus and solidus) moves faster with increase in density ratio and decrease in boundary and initial temperature. No major changes in temperature distribution and interface position has been observed with variation partition coefficient and microscale behavior model (Lever rule and Scheil’s rule).https://journals.pan.pl/Content/128443/PDF/AMM-2023-3-34-Sharma.pdfbinary alloyvariable densitysimilarity variableconduction dominatedmushy zone |
| spellingShingle | A. Jakhar L. Sharma P. Rath S. Kumar Mahapatra Similarity Solution for Phase Change of Dilute Binary Isomorphous Alloy with Density Variation during Phase Change Archives of Metallurgy and Materials binary alloy variable density similarity variable conduction dominated mushy zone |
| title | Similarity Solution for Phase Change of Dilute Binary Isomorphous Alloy with Density Variation during Phase Change |
| title_full | Similarity Solution for Phase Change of Dilute Binary Isomorphous Alloy with Density Variation during Phase Change |
| title_fullStr | Similarity Solution for Phase Change of Dilute Binary Isomorphous Alloy with Density Variation during Phase Change |
| title_full_unstemmed | Similarity Solution for Phase Change of Dilute Binary Isomorphous Alloy with Density Variation during Phase Change |
| title_short | Similarity Solution for Phase Change of Dilute Binary Isomorphous Alloy with Density Variation during Phase Change |
| title_sort | similarity solution for phase change of dilute binary isomorphous alloy with density variation during phase change |
| topic | binary alloy variable density similarity variable conduction dominated mushy zone |
| url | https://journals.pan.pl/Content/128443/PDF/AMM-2023-3-34-Sharma.pdf |
| work_keys_str_mv | AT ajakhar similaritysolutionforphasechangeofdilutebinaryisomorphousalloywithdensityvariationduringphasechange AT lsharma similaritysolutionforphasechangeofdilutebinaryisomorphousalloywithdensityvariationduringphasechange AT prath similaritysolutionforphasechangeofdilutebinaryisomorphousalloywithdensityvariationduringphasechange AT skumarmahapatra similaritysolutionforphasechangeofdilutebinaryisomorphousalloywithdensityvariationduringphasechange |