Open AccessTime-dependent interface stability during directional solidification of a single phase alloy(Ⅰ) Theoritical
Author(s) -
Xin Lin,
Tao Li,
Linlin Wang,
Yunpeng Su,
Weidong Huang
Publication year - 2004
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.53.3971
Subject(s) - directional solidification , materials science , instability , diffusion , convection , redistribution (election) , alloy , mechanics , planar , transient (computer programming) , thermodynamics , exponential function , front velocity , steady state (chemistry) , front (military) , physics , chemistry , composite material , computer science , meteorology , mathematical analysis , computer graphics (images) , mathematics , politics , political science , law , operating system
The initial transient solute redistribution during directional solidification is systematically investigated by carefully comparing the current theoreltical models with experimental results. It is shown that at the transient front solute redistribution generally meets an exponential profile no matter whether there exi sts liquid convection or pure diffusion in front of the liquid/solid interface.The profile can be described by a unified formula. Based on this, a general time-dependent linear dynamic analysis of the morphological instability of a solidifying planar interface during directional solidification is carried out. It is found that the timedependent instability solution has the same form as the steadystate solution described by Mullins and Sekerka, but the timedependent concentration gradient GtC, interface velocity Vi and diffusion length l should replace the corresponding steadystate concentration gradi ent GCinterface velocity Vdiffusion length DL/V in Mulli ns and Sekerka solution.