H2+He流体混合物在部分离解区的物态方程

顾云军; 郑君; 陈志云; 陈其峰; 蔡灵仓

doi:10.7498/aps.59.4508

摘要

H2+He流体混合物在高温高压下由于氢的离解化学反应形成由H2,H,He三种粒子构成的混合体系,此时粒子间的相互作用较为复杂,离解能也会由于粒子间的这种复杂相互作用而降低.本文利用自洽流体变分理论来研究部分离解区H2+He流体混合物的高温高压物态方程,模型考虑了各种粒子间的相互作用及由温致和压致效应引起的离解能降低的自洽变分修正,并通过自洽流体变分过程对非理想的离解平衡方程求解得到粒子数密度分布,进而对自由能求导获得体系的热力学状态参量.计

关键词:

Abstract

The H2+He fluid mixture will be dissociated into a three-component mixture composed of H2 molecules, H and He atoms at high temperatures and high pressures. The dissociation energy of H2 molecule will be lowered due to the interactions between all these particles. In this paper, the self-consistent fluid variational theory is used to calculate the equation of state of H2+He fluid mixture in the region of partial dissociation, in which the various interactions between particles and the correlation contributions to the dissociation energy caused by both the temperature and pressure effects are taken into account. The dissociation degree and thermodynamic parameters are obtained from nonideal dissociation equilibrium, which is determined self-consistently by the free energy function. Comparison was made with the available shock-wave experiments, other theoretical calculations and Monte Carlo simulations.

Keywords:

H2+He fluid mixture /
equation of state /
partial dissociation /
self-consistent fluid variational theory

作者及机构信息

1.
中国工程物理研究院流体物理研究所冲击波物理与爆轰波物理实验室,绵阳 621900

基金项目: 国家自然科学基金(批准号:10674120)和中国工程物理研究院科学技术发展基金(批准号:2007A01002,2009B01006)资助的课题.

Authors and contacts

1.
National Key Laboratory of Shock Wave and Detonation Physics Research, Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang 621900, China

参考文献

[1]	Kowalski P M, Mazevet S, Saumon D, Challacombe M 2007 Phys.Rev.B 76 075112
[2]	Redmer R, Holst B, Juranek H, Nettelmann N, Schwarz V 2006 J. Phys. A 39 4479
[3]	Chabrier G, Saumon D, Potekhin A Y 2006 J. Phys. A 39 4411
[4]	Saumon D, Chabrier G, van Horn H M 1995 Astrophys. J. Suppl. Ser. 99 713
[5]	Eggert J, Brygoo S, Loubeyre P, McWilliams R S, Celliers P M, Hicks D G, Boehly T R, Jeanloz R, Collins G W 2008 Phys. Rev. Lett. 100 124503
[6]	Boriskov G V, Bykov A I, II'kaev R I, Selemir V D, Simakov G V, Trunin R F, Urlin V D, Shuikin A N 2005 Phys. Rev. B 71 092104
[7]	Boehly T R, Hicks D G, Celliers P M, Collins T J B, Earley R, Eggert J H, Jacobs-Perkins D, Moon S J, Vianello E, Meyerhofer D D, Collins G W 2004 Phys. Plasmas 11 L49
[8]	Knudson M D, Hanson D L, Bailey J E, Hall C A, Asay J R, Deeney C 2004 Phys. Rev. B 69 144209
[9]	Nellis W J, Weir S T, Mitchell A C 1999 Phys. Rev. B 59 3434
[10]	Holmes N C, Ross M, Nellis W J 1995 Phys. Rev. B 52 15835
[11]	Xue X Y, Sun J X 2007 Chem. Phys. 337 39
[12]	Chen Q F, Cai L C, Chen D Q, Jing F Q, Zhao X G 2003 Chin. J. High Pressure Phys. 17 173(in Chinese)[陈其峰、蔡灵仓、陈栋泉、经福谦、赵宪庚 2003 高压 17 173] 〖13] Ree F H 1983 J. Chem. Phys. 78 409
[13]	Gu Y J, Chen Q F, Cai L C, Chen Z Y, Zheng J, Jing F Q 2009 J. Chem. Phys. 130 184506
[14]	Ternovoi V Y, Kvitov S V, Pyalling A A, Filimonov A S, Fortov V E 2004 JETP Lett. 796
[15]	Chen Q F, Cai L C, Zhang Y, Gu Y J, Jing F Q 2006 J. Chem. Phys. 124 074510
[16]	Chen Q F, Cai L C, Zhang Y, Gu Y J 2008 J. Chem. Phys. 128 104512
[17]	Chen Q F, Zhang Y, Cai L C, Gu Y J, Jing F Q 2007 Phys. Plasmas 14 012703
[18]	Zhang Y, Chen Q F, Gu Y J, Cai L C, Lu T C 2007 Acta Phys. Sin. 56 1318(in Chinese) [张颖、陈其峰、顾云军、蔡灵仓、卢铁城 2007 56 1318]
[19]	Chen Q F, Cai L C, Gu Y J, Gu Y 2009 Phys. Rev. E 79 016409
[20]	Juranek H, Redmer R 2000 J. Chem. Phys. 112 3780
[21]	Ebeling W, Frster A, Fortov V E, Gryaznov V K, Polishchuk A Y 1991 Thermophysical Properties of Hot Dense Plasmas (Stuttgart.Leipzig:Teubner Verlagsgesellschaft )p24
[22]	van Thiel M, Ree F H 1996 J. Chem. Phys. 104 5019
[23]	Ross M 1987 J. Chem. Phys. 86 7110

施引文献

[1]	Kowalski P M, Mazevet S, Saumon D, Challacombe M 2007 Phys.Rev.B 76 075112
[2]	Redmer R, Holst B, Juranek H, Nettelmann N, Schwarz V 2006 J. Phys. A 39 4479
[3]	Chabrier G, Saumon D, Potekhin A Y 2006 J. Phys. A 39 4411
[4]	Saumon D, Chabrier G, van Horn H M 1995 Astrophys. J. Suppl. Ser. 99 713
[5]	Eggert J, Brygoo S, Loubeyre P, McWilliams R S, Celliers P M, Hicks D G, Boehly T R, Jeanloz R, Collins G W 2008 Phys. Rev. Lett. 100 124503
[6]	Boriskov G V, Bykov A I, II'kaev R I, Selemir V D, Simakov G V, Trunin R F, Urlin V D, Shuikin A N 2005 Phys. Rev. B 71 092104
[7]	Boehly T R, Hicks D G, Celliers P M, Collins T J B, Earley R, Eggert J H, Jacobs-Perkins D, Moon S J, Vianello E, Meyerhofer D D, Collins G W 2004 Phys. Plasmas 11 L49
[8]	Knudson M D, Hanson D L, Bailey J E, Hall C A, Asay J R, Deeney C 2004 Phys. Rev. B 69 144209
[9]	Nellis W J, Weir S T, Mitchell A C 1999 Phys. Rev. B 59 3434
[10]	Holmes N C, Ross M, Nellis W J 1995 Phys. Rev. B 52 15835
[11]	Xue X Y, Sun J X 2007 Chem. Phys. 337 39
[12]	Chen Q F, Cai L C, Chen D Q, Jing F Q, Zhao X G 2003 Chin. J. High Pressure Phys. 17 173(in Chinese)[陈其峰、蔡灵仓、陈栋泉、经福谦、赵宪庚 2003 高压 17 173] 〖13] Ree F H 1983 J. Chem. Phys. 78 409
[13]	Gu Y J, Chen Q F, Cai L C, Chen Z Y, Zheng J, Jing F Q 2009 J. Chem. Phys. 130 184506
[14]	Ternovoi V Y, Kvitov S V, Pyalling A A, Filimonov A S, Fortov V E 2004 JETP Lett. 796
[15]	Chen Q F, Cai L C, Zhang Y, Gu Y J, Jing F Q 2006 J. Chem. Phys. 124 074510
[16]	Chen Q F, Cai L C, Zhang Y, Gu Y J 2008 J. Chem. Phys. 128 104512
[17]	Chen Q F, Zhang Y, Cai L C, Gu Y J, Jing F Q 2007 Phys. Plasmas 14 012703
[18]	Zhang Y, Chen Q F, Gu Y J, Cai L C, Lu T C 2007 Acta Phys. Sin. 56 1318(in Chinese) [张颖、陈其峰、顾云军、蔡灵仓、卢铁城 2007 56 1318]
[19]	Chen Q F, Cai L C, Gu Y J, Gu Y 2009 Phys. Rev. E 79 016409
[20]	Juranek H, Redmer R 2000 J. Chem. Phys. 112 3780
[21]	Ebeling W, Frster A, Fortov V E, Gryaznov V K, Polishchuk A Y 1991 Thermophysical Properties of Hot Dense Plasmas (Stuttgart.Leipzig:Teubner Verlagsgesellschaft )p24
[22]	van Thiel M, Ree F H 1996 J. Chem. Phys. 104 5019
[23]	Ross M 1987 J. Chem. Phys. 86 7110

[1]	田春玲, 刘海燕, 王彪, 刘福生, 甘云丹. 稠密流体氮高温高压相变及物态方程. , 2022, 71(15): 158701. doi: 10.7498/aps.71.20220124
[2]	王天浩, 王坤, 张阅, 姜林村. 温稠密铝等离子体物态方程及其电离平衡研究. , 2020, 69(9): 099101. doi: 10.7498/aps.69.20191826
[3]	金康, 经光银. 双电层相互作用下主动粒子系统的压强. , 2019, 68(17): 170501. doi: 10.7498/aps.68.20190435
[4]	马桂存, 张其黎, 宋红州, 李琼, 朱希睿, 孟续军. 温稠密物质物态方程的理论研究. , 2017, 66(3): 036401. doi: 10.7498/aps.66.036401
[5]	范小兵, 陈俊祥, 向士凯. 基于比热的完全物态方程. , 2016, 65(23): 236401. doi: 10.7498/aps.65.236401
[6]	武娜, 杨皎, 肖芬, 蔡灵仓, 田春玲. 固氪物态方程的关联量子化学计算. , 2014, 63(14): 146102. doi: 10.7498/aps.63.146102
[7]	彭小娟, 刘福生. 液相及固/液混合相区金属物态方程Grover模型存在的问题及修正. , 2012, 61(18): 186201. doi: 10.7498/aps.61.186201
[8]	郑君, 顾云军, 陈其峰, 陈志云. 稀有气体在电离区压缩特性研究. , 2010, 59(10): 7472-7477. doi: 10.7498/aps.59.7472
[9]	宋海峰, 刘海风. 金属铍热力学性质的理论研究. , 2007, 56(5): 2833-2837. doi: 10.7498/aps.56.2833
[10]	侯永, 袁建民. 第一性原理对金的高压相变和零温物态方程的计算. , 2007, 56(6): 3458-3463. doi: 10.7498/aps.56.3458
[11]	赵艳红, 刘海风, 张弓木. 基于统计物理的爆轰产物物态方程研究. , 2007, 56(8): 4791-4797. doi: 10.7498/aps.56.4791
[12]	田杨萌, 王彩霞, 姜明, 程新路, 杨向东. 惰性物质等离子体物态方程研究. , 2007, 56(10): 5698-5703. doi: 10.7498/aps.56.5698
[13]	田春玲, 蔡灵仓, 顾云军, 经福谦, 陈志云. 用多次冲击压缩方法研究稠密氢氦等摩尔混合气体的物态方程. , 2007, 56(7): 4180-4186. doi: 10.7498/aps.56.4180
[14]	张颖, 陈其峰, 顾云军, 蔡灵仓, 卢铁城. 部分电离稠密氦等离子体物态方程的自洽变分计算. , 2007, 56(3): 1318-1324. doi: 10.7498/aps.56.1318
[15]	王彩霞, 田杨萌, 姜明, 程新路, 杨向东, 孟川民. 一种计算氩等离子物态方程的简单模型. , 2006, 55(11): 5784-5789. doi: 10.7498/aps.55.5784
[16]	徐昌智, 张解放. (2+1)维非线性Burgers方程变量分离解和新型孤波结构. , 2004, 53(8): 2407-2412. doi: 10.7498/aps.53.2407
[17]	李晓杰. 热膨胀型固体物态方程. , 2002, 51(5): 1098-1102. doi: 10.7498/aps.51.1098
[18]	王藩侯, 陈敬平, 孟续军, 周显明, 李西军, 孙永盛, 经福谦. 冲击压缩产生的氩等离子体辐射不透明度研究. , 2001, 50(7): 1308-1312. doi: 10.7498/aps.50.1308
[19]	耿华运, 吴强, 谭华. 热力学物态方程参数的统计力学表示. , 2001, 50(7): 1334-1339. doi: 10.7498/aps.50.1334
[20]	华劲松, 经福谦, 谭华. 一种获得剪切模量压强二阶偏导数G″P的方法. , 2000, 49(12): 2443-2447. doi: 10.7498/aps.49.2443

计量

文章访问数: 7526
PDF下载量: 686
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

搜索

留言板