TY - JOUR

T1 - The shape of dendritic tips: the role of external impacts

AU - Alexandrov, Dmitri

AU - Kao, Andrew

AU - Galenko, Peter

AU - Lippmann, Stephanie

AU - Starodumov, Ilya

AU - Demange, Gilles

AU - Toropova, Liubov

N1 - The present work is dedicated to the blessed memory of Professor Markus Rettenmayr who provided thorough thermodynamic study and direct practical applications of novel mainly metallic and alloying materials. L.V.T. acknowledges the financial support from the Russian Science Foundation (Project No. 21-79-10012).

PY - 2023/7/1

Y1 - 2023/7/1

N2 - This study is concerned with the question of what is the shape of a dendritic tip grown from an undercooled melt in the presence of external impacts? To answer this question we extend the recent theory (Alexandrov and Galenko in Philos Trans R Soc A 378:20190243, 2020) to the case of external processes influencing the crystal growth phenomenon. The tip shape function is derived and tested against experimental data and numerical simulations when forced convection and dissolved impurities play a decisive role. It is shown that the tip shape function taking external impacts into account is in good agreement with the theory, experiments and computations. Using our well tested formula for the dendrite tip shape we show that the mechanisms of heat and mass transfer in inclined fluid currents can be essentially different. Namely, heat and mass fluxes at the crystal surface can be described by Fick's or Newton's laws or even by a more general mixed-type heat and mass transfer formula.

AB - This study is concerned with the question of what is the shape of a dendritic tip grown from an undercooled melt in the presence of external impacts? To answer this question we extend the recent theory (Alexandrov and Galenko in Philos Trans R Soc A 378:20190243, 2020) to the case of external processes influencing the crystal growth phenomenon. The tip shape function is derived and tested against experimental data and numerical simulations when forced convection and dissolved impurities play a decisive role. It is shown that the tip shape function taking external impacts into account is in good agreement with the theory, experiments and computations. Using our well tested formula for the dendrite tip shape we show that the mechanisms of heat and mass transfer in inclined fluid currents can be essentially different. Namely, heat and mass fluxes at the crystal surface can be described by Fick's or Newton's laws or even by a more general mixed-type heat and mass transfer formula.

UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=000985701000001

UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85159283478

U2 - 10.1140/epjs/s11734-023-00853-1

DO - 10.1140/epjs/s11734-023-00853-1

M3 - Article

VL - 232

SP - 1273

EP - 1279

JO - European Physical Journal: Special Topics

JF - European Physical Journal: Special Topics

SN - 1951-6355

IS - 8

ER -