液气共存的耗散粒子动力学模拟

王晓亮; 陈硕

doi:10.7498/aps.59.6778

摘要

传统的耗散粒子动力学方法(DPD)由于采用了纯排斥的守恒力相互作用,从而不能适应液气共存或者带有自由面流体的模拟.这里研究了DPD方法中新近提出的一种短程排斥、长程吸引相互作用,探索了这种改进势能对于DPD方法模拟液气共存的能力.模拟了这种新势能所形成的液气过渡界面,计算了过渡界面区的应力分布,发现应力分布与多体DPD方法所得结果一致.进一步对表面张力进行了研究,验证了这种势能所形成的界面满足Laplace定律,而通过理论公式与Laplace定律分别所得到的表面张力也彼此相符.

关键词:

Abstract

Due to a purely repulsive conservative interaction adopted in the traditional dissipative particle dynamics, the vapor-liquid coexistence phenomena or fluid flows with free surfaces could not be simulated. In the present study a recently proposed combination of short-range repulsive and long-range attractive interaction for DPD was investigated to explore its ability of simulating vapor-liquid coexistence or fluid flows with free surfaces. With this modified interaction, steady vapor-liquid interface could be obtained in DPD simulation, and the stress distribution across the vapor-liquid interface region was also discussed, which were found in accordance with those obtained by multibody DPD. Furthermore, surface tension of vapor-liquid interface was studied, and it was verified that Laplace’s law is satisfied in our simulation. Surface tensions obtained by theoretical method and Laplace’s law, respectively, are in agreement with each other.

Keywords:

作者及机构信息

王晓亮,
陈硕

1.
同济大学航空航天与力学学院,上海 200092

基金项目: 国家自然科学基金(批准号:10872152 )和上海市教委科研创新重点项目资助的课题.

Authors and contacts

1.
School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092,China

参考文献

[1]	Liu M B, Meakin P, Huang H 2007 Phys. Fluids 19 033302
[2]	Liu M B, Meakin P, Huang H 2006 Phys. Fluids 18 017101
[3]	Sun Q C, Wang G Q 2008 Acta Phys. Sin. 57 4667 (in Chinese) [孙其诚、王光谦 2008 物理学报 57 4667]
[4]	Sun D K, Zhu M F, Yang Z R, Pan S Y, Dai T 2009 Acta Phys. Sin. 58 S285(in Chinese)[孙东科、朱鸣芳、杨朝蓉、潘诗琰、戴挺 2009 物理学报 58 S285]
[5]	Hoogerbrugge P J, Koelman J M V A 1992 Europhys. Lett. 19 155
[6]	Marsh C A 1998 Ph. D. Dissertation (Oxford: University of Oxford)
[7]	Groot R D, Warren P B 1997 Phys. Rev. Lett. 107 4423
[8]	Pagonabarraga I, Frenkel D 2001 J. Chem. Phys. 115 5015
[9]	Pagonabarraga I, Frenkel D 2000 Mol. Simul. 25 167
[10]	Warren P B 2001 Phys. Rev. Lett. 87 225702
[11]	Warren P B 2003 Phys. Rev.E 68 066702
[12]	Chang J Z, Liu M B, Liu H T 2008 Acta Phys. Sin. 57 3954 (in Chinese) [常建忠、刘谋斌、刘汉涛 2008 物理学报 57 3954]
[13]	Liu M B, Meakin P, Huang H 2007 Water Resour. Res. 43 W04411
[14]	Tiwari A, Abraham J 2006 Phys. Rev. E 74 056701
[15]	Novik K E, Coveney P V 2000 Phys. Rev. E 59 6342
[16]	Chen S, Phan-Thien N, Fan X J 2004 J. Non-Newton. Fluid Mech. 118 65
[17]	Liu M B, Liu G R, Lam K Y 2003 J. Comput. Appl. Math. 155 263
[18]	Irving J H, Kirkwood J G 1950 J. Chem. Phys. 18 817

施引文献

[1]	Liu M B, Meakin P, Huang H 2007 Phys. Fluids 19 033302
[2]	Liu M B, Meakin P, Huang H 2006 Phys. Fluids 18 017101
[3]	Sun Q C, Wang G Q 2008 Acta Phys. Sin. 57 4667 (in Chinese) [孙其诚、王光谦 2008 物理学报 57 4667]
[4]	Sun D K, Zhu M F, Yang Z R, Pan S Y, Dai T 2009 Acta Phys. Sin. 58 S285(in Chinese)[孙东科、朱鸣芳、杨朝蓉、潘诗琰、戴挺 2009 物理学报 58 S285]
[5]	Hoogerbrugge P J, Koelman J M V A 1992 Europhys. Lett. 19 155
[6]	Marsh C A 1998 Ph. D. Dissertation (Oxford: University of Oxford)
[7]	Groot R D, Warren P B 1997 Phys. Rev. Lett. 107 4423
[8]	Pagonabarraga I, Frenkel D 2001 J. Chem. Phys. 115 5015
[9]	Pagonabarraga I, Frenkel D 2000 Mol. Simul. 25 167
[10]	Warren P B 2001 Phys. Rev. Lett. 87 225702
[11]	Warren P B 2003 Phys. Rev.E 68 066702
[12]	Chang J Z, Liu M B, Liu H T 2008 Acta Phys. Sin. 57 3954 (in Chinese) [常建忠、刘谋斌、刘汉涛 2008 物理学报 57 3954]
[13]	Liu M B, Meakin P, Huang H 2007 Water Resour. Res. 43 W04411
[14]	Tiwari A, Abraham J 2006 Phys. Rev. E 74 056701
[15]	Novik K E, Coveney P V 2000 Phys. Rev. E 59 6342
[16]	Chen S, Phan-Thien N, Fan X J 2004 J. Non-Newton. Fluid Mech. 118 65
[17]	Liu M B, Liu G R, Lam K Y 2003 J. Comput. Appl. Math. 155 263
[18]	Irving J H, Kirkwood J G 1950 J. Chem. Phys. 18 817

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