On the motion of a spherical cavity in a melt

Gas inclusions significantly influence the quality of solidifying melts. Dissolved gases in liquid metals, due to diffusion and chemical reactions, contribute to the formation and growth of new inclusions. The mathematical problem of the dynamic behavior of a spherical cavity is solved using the Nav...

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Main Authors: M. N. Vereshchagin, Yu. D. Chernichenko, S. V. Shishkov
Format: Article
Language:English
Published: Belarusian National Technical University 2024-06-01
Series:Литьë и металлургия
Subjects:
Online Access:https://lim.bntu.by/jour/article/view/3689
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author M. N. Vereshchagin
Yu. D. Chernichenko
S. V. Shishkov
author_facet M. N. Vereshchagin
Yu. D. Chernichenko
S. V. Shishkov
author_sort M. N. Vereshchagin
collection DOAJ
description Gas inclusions significantly influence the quality of solidifying melts. Dissolved gases in liquid metals, due to diffusion and chemical reactions, contribute to the formation and growth of new inclusions. The mathematical problem of the dynamic behavior of a spherical cavity is solved using the Navier‑Stokes equation, treating the melt as a viscous incompressible fluid. An expression for the change in radius of a spherical cavity under Newtonian behavior of the melts is obtained.
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issn 1683-6065
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publisher Belarusian National Technical University
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series Литьë и металлургия
spelling doaj-art-119beb0f3da344fead49c726092a879b2025-08-20T02:55:17ZengBelarusian National Technical UniversityЛитьë и металлургия1683-60652414-04062024-06-010214114510.21122/1683-6065-2024-2-141-1453565On the motion of a spherical cavity in a meltM. N. Vereshchagin0Yu. D. Chernichenko1S. V. Shishkov2P. O. Sukhoi Gomel State Technical UniversityP. O. Sukhoi Gomel State Technical UniversityP. O. Sukhoi Gomel State Technical UniversityGas inclusions significantly influence the quality of solidifying melts. Dissolved gases in liquid metals, due to diffusion and chemical reactions, contribute to the formation and growth of new inclusions. The mathematical problem of the dynamic behavior of a spherical cavity is solved using the Navier‑Stokes equation, treating the melt as a viscous incompressible fluid. An expression for the change in radius of a spherical cavity under Newtonian behavior of the melts is obtained.https://lim.bntu.by/jour/article/view/3689gas bubblesuperheatpressure pulsationmeltviscosityheat capacitytime
spellingShingle M. N. Vereshchagin
Yu. D. Chernichenko
S. V. Shishkov
On the motion of a spherical cavity in a melt
Литьë и металлургия
gas bubble
superheat
pressure pulsation
melt
viscosity
heat capacity
time
title On the motion of a spherical cavity in a melt
title_full On the motion of a spherical cavity in a melt
title_fullStr On the motion of a spherical cavity in a melt
title_full_unstemmed On the motion of a spherical cavity in a melt
title_short On the motion of a spherical cavity in a melt
title_sort on the motion of a spherical cavity in a melt
topic gas bubble
superheat
pressure pulsation
melt
viscosity
heat capacity
time
url https://lim.bntu.by/jour/article/view/3689
work_keys_str_mv AT mnvereshchagin onthemotionofasphericalcavityinamelt
AT yudchernichenko onthemotionofasphericalcavityinamelt
AT svshishkov onthemotionofasphericalcavityinamelt