钛合金三次真空自耗电弧熔炼过程中的宏观偏析传递行为

郭杰, 黄立清, 吴京洋, 李俊杰, 王锦程, 樊凯

Evolution of Macrosegregation During Three-Stage Vacuum Arc Remelting of Titanium Alloys

GUO Jie, HUANG Liqing, WU Jingyang, LI Junjie, WANG Jincheng, FAN Kai

表1 计算模型采用的物性参数

Table 1 Physical parameters of the computational model

Parameter description	Symbol	Value	Unit
Density	ρ	4170	kg·m^-3
Diffusion coefficient for V in liquid	$D_{l}^{V}$	4.0 × 10^-9	m²·s^-1
Diffusion coefficient for Al in liquid	$D_{l}^{A l}$	4.0 × 10^-9	m²·s^-1
Latent heat of fusion	L	3.77 × 10⁵	J·kg^-1
Partition coefficient for V	$k_{p}^{V}$	0.95	-
Partition coefficient for Al	$k_{p}^{A l}$	1.08	-
Liquidus slope for V	m^V	-2.0	K·%^-1 (mass fraction)
Liquidus slope for Al	m^Al	-4.44	K·%^-1 (mass fraction)
Solutal expansion coefficient for V	$β_{S}^{V}$	-0.35	%^-1 (mass fraction)
Solutal expansion coefficient for Al	$β_{S}^{A l}$	0.4	%^-1 (mass fraction)
Heat capacity	c_p	975	J·kg^-1·K^-1
Thermal conductivity	k_T	32.7	W·m^-1·K^-1
Thermal expansion coefficient	β_T	6.5 × 10^-5	K^-1
Viscosity of liquid	μ_l	3.1 × 10^-3	kg·m^-1·s^-1
Electric conductivity	σ	1.0 × 10⁶	S·m^-1
Magnetic permeability	μ₀	1.26 × 10^-6	H·m^-1