A THERMODYNAMIC MODEL FOR DIRECTIONAL SOLIDIFICATION OF METAL-HYDROGEN EUTECTIC

doi:10.3724/SP.J.1037.2013.00606

Acta Metall Sin

2014, Vol. 50

Issue (4): 507-514 DOI: 10.3724/SP.J.1037.2013.00606

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A THERMODYNAMIC MODEL FOR DIRECTIONAL SOLIDIFICATION OF METAL-HYDROGEN EUTECTIC

LI Zaijiu, JIN Qinglin(

), YANG Tianwu, ZHOU Rong, JIANG Yehua

Faculty of Materials Science and Engineering, Kunming University of Science and Technology, Kunming 650093

Cite this article:

LI Zaijiu, JIN Qinglin, YANG Tianwu, ZHOU Rong, JIANG Yehua. A THERMODYNAMIC MODEL FOR DIRECTIONAL SOLIDIFICATION OF METAL-HYDROGEN EUTECTIC. Acta Metall Sin, 2014, 50(4): 507-514.

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Abstract

With the thermodynamic analysis on directional solidification of metal-hydrogen eutectic, a theoretical model was developed to predict the effect of the Gasar processing parameters on the pore diameter and inter-pore spacing. The model was applied for the Gasar porous Cu fabricated by continuous casting process. The average pore diameter and inter-pore spacing decrease as increasing withdrawal rate. The theoretical relationship between the inter-pore spacing l and the withdrawal rate v can be described by a simple equation vl²=B, where B is a constant depending on the melt temperature and hydrogen gas pressure. The model can predict the overall tendency of the experimental results. The deviation between the calculated and experimental values in the case of lower withdrawal rate is considered to be associated with the difference between the real pore structure and ideal pore structure, and the melt convection in the vicinity of solid/liquid interface.

Key words: porous metal metal-hydrogen eutectic inter-pore spacing withdrawal rate

Received: 23 September 2013

ZTFLH:

TG146

Fund: Supported by National Natural Science Foundation of China and Yunnan Provincial Government (No.u0837603) and National Natural Science Foundation of China (No.51164018)

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	Zaijiu LI
	Qinglin JIN
	Tianwu YANG
	Rong ZHOU
	Yehua JIANG

URL:

https://www.ams.org.cn/EN/10.3724/SP.J.1037.2013.00606 OR https://www.ams.org.cn/EN/Y2014/V50/I4/507

Fig.1

金属-氢共晶相图

1 mol金属-氢系统中, 液相的自由能-成分曲线(选择固态金属和气态氢为标准态)

Fig.3

金属-氢共晶凝固中的气孔结构几何模型

Fig.4 Schematic of the phase diagram for a 1 mole system of metal-hydrogen (a) and the corresponding free energy-composition curve at the undercooled temperature of T_E- DT_diff (b) (

μ M L, 1

(point a') represents the chemical potential of the liquid metal ahead of the solid phase; and

μ H L, 1

(point c) represents the hydrogen chemical potential ahead of the solid phase;

μ M L, 2

(point d) represents the chemical potential of the liquid metal ahead of the gas phase;

μ H L, 2

(point b') represents the hydrogen chemical potential ahead of the gas phase. The length ad represents

Δ μ H = μ H L, 1 - G H g

, the driving force for the diffusion of metal atom; and the length cb represents ΔμH (= μL,1H - G gH),the driving force for the diffusion of hydrogen)

Fig.5

连铸工艺制备Gasar多孔Cu装置示意图

Fig.6

H₂压力为0.6 MPa下获得的Gasar多孔Cu连铸试样横、纵截面图

Fig.7

H₂压力为1.0 MPa下获得的Gasar多孔Cu连铸试样横、纵截面图

Parameter	Value	Unit	Ref.
X_L	$2.183 × 10 - 5 e x p (- 5.234 × 103 T) ? p H 2$	Mole fraction	[21]
X_S	$1.379 × 10 - 5 e x p (- 5.888 × 103 T m) ? p p o r e$	Mole fraction	[21]
M_L	132200	mol/ m³	[22]
T_m	1356	K	[22]
p_h	0.009408	MPa	[16]
p_C	0.004720	MPa	[13]
D_H	$10.92 × 10 - 7 e x p (- 2148 R T m)$	m²/ s	[23]
R	8.314	J/(mol·K)	[20]
s^s/g	1.75	J/m²	[24]
k	0.35		[20]

表1 Cu-H₂ 系计算参数

Fig.8

不同下拉速率条件下制得的Gasar多孔Cu的气孔间距及气孔直径与理论计算值的比较

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