基于纳米热力学理论分析了钢液中非金属夹杂物的形核过程,建立了夹杂物形核的纳米热力学计算模型。通过考虑晶核尺寸对钢液-晶核界面能的影响,推导了钢液-晶核界面能与晶核尺寸之间的关系式;进一步分析晶核尺寸对晶核溶解度的影响,获得了考虑晶核尺寸因素的夹杂物形核过程总Gibbs自由能变化关系式;在此基础上,获得了基于纳米热力学的夹杂物临界晶核半径计算公式。以Al2O3夹杂为例,分别采用纳米热力学和经典形核热力学公式计算了临界晶核半径。结果表明:在相同条件下,基于纳米热力学计算得到的临界晶核半径值均大于经典热力学计算得到的临界晶核半径值;对于用铝终脱氧的一般情况,纳米热力学计算得到Al2O3夹杂物的临界晶核半径为1.40~2.72nm,经典热力学计算值为1.02~1.69nm。研究结果目前难以直接采用试验证实,但可从有关纳米体系热力学研究文献结果得到间接验证。
The nucleation process of non-metallic inclusions in molten steel was analyzed based on nano-thermody namics theory, and calculation model was established. The relational expression of nucleus's size dependent interface energy between liquid steel and nucleus was obtained by considering effect of nucleus's size on interface energy, and then, the Gibbs free energy change expression of nucleation was established by analyzing influence of nucleus's size on its solubility. The mathematic formula for critical radius of nucleus was deduced by differential Gibbs free en ergy change of nucleation. The critical radius of nucleus of Al2O3 inclusion was calculated adopting both nano-ther- modynamics and classical nucleation thermodynamics simultaneously. The results show that numerical value of criti cal radius of nucleus of Al2O3 inclusion based on nano-thermodynamics is greater than numerical value based on clas sical thermodynamics in the same conditions. During the process of terminal aluminum-deoxidation in liquid steel, numerical value of nucleus's critical radius of Al2O3 inclusion is approximate 1.40-2. 72 nm by nano-thermodynamics, and value is 1.02-1.69 nm based on classical thermodynamics. The conclusions are consistent of results by molecular dynamic simulation and experiments in relate literatures.
参考文献
[1] | 柴国强,王福明,付军,李长荣.高碳硬线钢82B中Al2 O3-SiO2-MgO-CaO-MnO系夹杂物塑性化控制[J].北京科技大学学报,2010(06):730-734. |
[2] | 傅杰,刘阳春,吴华杰.HSLC钢中纳米氮化物的析出与作用[J].中国科学E辑,2008(05):797-806. |
[3] | Hill T L.Thermodynamics of Small Systems,Vol.I[M].New York:W A Benjamin,1963:12. |
[4] | Wang CX;Yang GW .Thermodynamics of metastable phase nucleation at the nanoscale[J].Materials Science & Engineering, R. Reports: A Review Journal,2005(6):157-202. |
[5] | Annie Steinchen.From Dispersed Nano-Objeets to Solu tions--A Thermodynamic Approach[J].Colloids and Sur faces A:Physicochem Eng Aspects,2008:323.163. |
[6] | 傅献彩;沈文霞;姚天扬.物理化学[M].北京:高等教育出版社,1990 |
[7] | Eun-Ha Kim;Byeong-Joo Lee .Size Dependency of Melting Point of Crystalline Nano Particles and Nano Wires: A Thermodynamic Modeling[J].Metals and Materials International,2009(4):531-537. |
[8] | Shim JH.;Lee BJ.;Cho YW. .Thermal stability of unsupported gold nanoparticle: a molecular dynamics study[J].Surface Science: A Journal Devoted to the Physics and Chemistry of Interfaces,2002(3):262-268. |
[9] | Wen Z;Zhao M;Jiang Q .Size Range of Solid-Liquid Inter- face Energy of Organic Crystals[J].Journal of Physical Chemistry B,2002,106:4266. |
[10] | 闫红,王小松,朱如曾.Kelvin方程的一种理论推导[J].物理化学学报,2009(04):640-644. |
[11] | Jiang Q;Zhao D S;Zhao M .Size-Dependent Interface Ener gy and Related Interface Stress[J].Acta Materialia,2001,49:3143. |
[12] | Zhang H Z;Penn R L;Hamers R J et al.Enhanced Ad- sorption of Molecules on Surfaces of Nanocrystalline Particles[J].Journal of Physical Chemistry B,1999,103:4656. |
[13] | Kyoko Wasai;Kusuhiro Mukai .Thermodynamics of Nuclea- tion and Supersaturation for the Aluminum Deoxidation Reac- tion in Liquid Iron[J].Metallurgical and Materials Transac tions B,1999,30B(10):1065. |
[14] | Zhang Lifeng;Wolfgang Pluschkell;Brian G Thomas.Nu cleation and Growth of" Alumina Inclusions During Steel De oxidation[A].Nashville,2002 |
[15] | Kristofer J Malmberg;Hiroyuki Shibata;Shin-ya Kitamura et al.Observed Behavior of Various Oxide Inclusions in Front of A Solidifying Low Carbon Steel Shell[J].Journal of Materials Science,2010,45:2157. |
[16] | 王金照 .汽泡成核的分子动力学研究及纳米颗粒对成核的影响[D].北京:清华大学,2005. |
[17] | 薛永强,杜建平,王沛东,王志忠.粒度对纳米氧化锌与硫酸氢钠溶液反应动力学的影响[J].太原理工大学学报,2005(03):337-341. |
[18] | 来蔚鹏,薛永强,廉鹏,葛忠学,王伯周,张志忠.粒度对纳米体系化学反应热力学性质的影响[J].物理化学学报,2007(04):508-512. |
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