两相湍流统一色噪声法概率密度函数模型

王路; 徐江荣

doi:10.7498/aps.64.054704

摘要

统一色噪声近似方法对简单一维色噪声问题研究较为充分, 本文将统一色噪声法应用到高度复杂的多维气固两相湍流系统之中.首先从颗粒运动Langevin方程出发, 利用统一色噪声法获得两相湍流Fokker-Planck方程, 然后以此为基础建立颗粒轨道两阶矩模型.文中建立的新模型成功应用于后台阶两相湍流流场的数值模拟, 预报合理正确.研究表明, 对于多维两相湍流系统, 统一色噪声法仍然行之有效.

关键词:

A unified colored-noise approximation (UCNA) method has been widely used to solve the simple one-dimensional problem, and this paper attempts to extend this method to multi-dimensional systems. Firstly, a Fokker-Planck equation is obtained by UCNA method based on the Langevin equation for particle motion, then a two-order moment trajectory model is established on this basis. The new model can be successfully used to predict the backward-facing step two-phase flow, and the simulation results agree well with the measurements. This study shows that the UCNA method is still effective in dealing with multi-dimensional two-phase turbulent systems.

Keywords:

作者及机构信息

王路¹,
徐江荣^{1 2}

1.
南京理工大学能源与动力工程学院, 南京 210094;

2.
杭州电子科技大学能源研究所, 杭州 310018

基金项目: 国家自然科学基金(批准号: 51176044)和浙江省自然科学基金(批准号: Y1110620)资助的课题.

Authors and contacts

Wang Lu¹,
Xu Jiang-Rong^{1 2}

1.
School of Energy and Power Engineering, Nanjing University of Sicence and Technology, Nanjing 210094, China;

2.
Insititute of Energy Science and Engineering, Hangzhou Dianzi University, Hangzhou 310018, China

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 51176044), and the Zhejiang Provincial Natural Science Foundation of China (Grant No. Y1110620).

参考文献

[1]	Fang H P, Chen S Y 2004 Chin. Phys. 13 46
[2]	Chen S, Shi B C, Liu Z H, He Z, Guo Z L, Zheng C G 2004 Chin. Phys. 13 1657
[3]	Minier J P, Peirano E 2001 Phys. Rep. 352 1
[4]	Li Z X, Xu J R, Yang Z H 2007 Chin. J. Comput. Phys. 23 413 (in Chinese) [李昭祥, 徐江荣, 杨忠华 2007 计算物理 23 413]
[5]	Li Z X, Xu J R, Yang Z H 2010 Chin. J. Comput. Phys. 27 38 (in Chinese) [李昭祥, 徐江荣, 杨忠华 2010 计算物理 27 38]
[6]	Jung P, Hanggi P 1987 Phys. Rev. A 35 4464
[7]	Zhao Y, Xu W, Zou S C 2009 Acta Phys. Sin. 58 1396 (in Chinese) [赵燕, 徐伟, 邹少存 2009 物理学报 58 1396]
[8]	Zhou B C, Xu W 2008 Acta Phys. Sin. 57 2035 (in Chinese) [周丙常, 徐伟 2008 物理学报 57 2035]
[9]	Cai H N, Zhou X J, Cao L 1998 J. Huazhong Univ. of Sci. & Tech. 26 54 (in Chinese) [蔡海宁, 周小计, 曹力 1998 华中理工大学学报 26 54]
[10]	Risken H 1989 The Fokker-Planck Equation: Methods of solution and applications 2nd. (New York: Springer) pp133-162
[11]	Tao W Q 2001 Numerical Heat Transfer (Second Edition) (Xi'an: Xi'an Jiaotong University Press) pp207-231 (in Chinese) [陶文铨编著2001 数值传热学(第2版)(西安: 西安交通大学出版社)第207–231页]
[12]	Fessler J R, Eaton J K 1999 J. Fluid Mech. 394 97

施引文献

[1]	Fang H P, Chen S Y 2004 Chin. Phys. 13 46
[2]	Chen S, Shi B C, Liu Z H, He Z, Guo Z L, Zheng C G 2004 Chin. Phys. 13 1657
[3]	Minier J P, Peirano E 2001 Phys. Rep. 352 1
[4]	Li Z X, Xu J R, Yang Z H 2007 Chin. J. Comput. Phys. 23 413 (in Chinese) [李昭祥, 徐江荣, 杨忠华 2007 计算物理 23 413]
[5]	Li Z X, Xu J R, Yang Z H 2010 Chin. J. Comput. Phys. 27 38 (in Chinese) [李昭祥, 徐江荣, 杨忠华 2010 计算物理 27 38]
[6]	Jung P, Hanggi P 1987 Phys. Rev. A 35 4464
[7]	Zhao Y, Xu W, Zou S C 2009 Acta Phys. Sin. 58 1396 (in Chinese) [赵燕, 徐伟, 邹少存 2009 物理学报 58 1396]
[8]	Zhou B C, Xu W 2008 Acta Phys. Sin. 57 2035 (in Chinese) [周丙常, 徐伟 2008 物理学报 57 2035]
[9]	Cai H N, Zhou X J, Cao L 1998 J. Huazhong Univ. of Sci. & Tech. 26 54 (in Chinese) [蔡海宁, 周小计, 曹力 1998 华中理工大学学报 26 54]
[10]	Risken H 1989 The Fokker-Planck Equation: Methods of solution and applications 2nd. (New York: Springer) pp133-162
[11]	Tao W Q 2001 Numerical Heat Transfer (Second Edition) (Xi'an: Xi'an Jiaotong University Press) pp207-231 (in Chinese) [陶文铨编著2001 数值传热学(第2版)(西安: 西安交通大学出版社)第207–231页]
[12]	Fessler J R, Eaton J K 1999 J. Fluid Mech. 394 97

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