Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/112006
Title: Towards the Stable Evolution of Dendrites in the Case of Intense Convection in the Melt
Authors: Alexandrov, D. V.
Galenko, P. K.
Issue Date: 2021
Publisher: IOP Publishing Ltd
IOP Publishing
Citation: Alexandrov D. V. Towards the Stable Evolution of Dendrites in the Case of Intense Convection in the Melt / D. V. Alexandrov, P. K. Galenko // Journal of Physics: Conference Series. — 2021. — Vol. 2114. — Iss. 1. — 012043.
Abstract: The solid-phase pattern in the form of a dendrite is one of the frequently met structures produced from undercooled liquids. In the last decades, an analytical approach describing the steady-state crystal growth in the presence of conductive heat and mass transport has been constructed. However, experimental works show that crystal patterns frequently grow in the presence of convection. In this paper, a theoretical description based on convective heat and solute concentration transport near the solid/liquid phase interface is developed. The stable regime of crystallization in the presence of vigorous convection near the steady-state crystal vertex is studied. The stability analysis, determining the stable growth mode, and the undercooling balance law have been applied to deduce the stable values for the growth rate and tip diameter. Our analytical predictions (with convective transport) well describe experimental data for a small melt undercooling. Moreover, we compare both convective and conductive mechanisms in the vicinity of the crystal vertex. Our theory shows that convective fluxes substantially change the steady-state growth of crystals. © 2021 Institute of Physics Publishing. All rights reserved.
Keywords: DENDRITES
PHASE TRANSFORMATIONS
underCOOLED MATERIALS
CRYSTALS
DENDRITES (METALLOGRAPHY)
GROWTH RATE
PHASE INTERFACES
underCOOLING
ANALYTICAL APPROACH
CONDUCTIVE HEAT
DENDRITE
PHASE PATTERNS
PHASES TRANSFORMATION
SOLID PHASIS
SOLID-PHASE
STEADY STATE
underCOOLED LIQUID
underCOOLED MATERIAL
HEAT CONVECTION
URI: http://hdl.handle.net/10995/112006
Access: info:eu-repo/semantics/openAccess
Conference name: 3rd International Conference in Physical Science and Advanced Materials, PAM 2021
Conference date: 24 September 2021 through 28 September 2021
SCOPUS ID: 85123365390
PURE ID: 29561382
ISSN: 1742-6588
metadata.dc.description.sponsorship: The present work comprises different parts of research studies, including (i) the model formulation, stability and solvability analyses, derivation of the selection criterion, and (ii) numerical simulations and comparison with experimental data. Different parts of this study were supported by different grants and programs. With this in mind, the authors are grateful to the following foundations, programs, and grants. The first theoretical part (i) was supported by the Russian Science Foundation (grant no. 21-19-00279). The second part (ii) was made possible due to the financial support from the Ministry of Science and Higher Education of the Russian Federation (FEUZ-2020-0057).
RSCF project card: 21-19-00279
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

Files in This Item:
File Description SizeFormat 
2-s2.0-85123365390.pdf726,08 kBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.