In the aim of exploring the physical mechanisms and critical probability of sediment’s incipient motion, the incipient motion is regarded as a critical phenomenon and is compared with continuous phase transition. Two-dimensional Ising model and renormalization group model as well as algorithm of sediment are established based on the principle and method of critical phenomena, continuous phase transition and renormalization group. By comprehensive analysis, a critical probability of sediment’s incipient motion is obtained (the threshold is about 0.42) which is approximate with the results of experiments and observations. In association with sediment movement mechanics and fractal dynamics, the physical mechanism of bed surface starting is discussed. The results show that the integral incipient motion of bed surface have similar physical mechanism with fractal growth DLA group. It gives a physical interpretation to the integral incipient motion of bed surface with a threshold less than 0.5.
WANG Fu-quan
. Approaches of Ising and Renormalization Group to Study the Incipient Motion of Sediment[J]. Journal of Changjiang River Scientific Research Institute, 2015
, 32(1)
: 6
-10
.
DOI: 10.3969/j.issn.1001-5485.2015.01.002
[1] 韩其为,何明民. 泥沙运动统计理论.北京:科学出版社,1984. (HAN Qi-wei, HE Ming-min. Statistical Theory of Sediment Motion. Beijing: Science Press,1984. (in Chinese))
[2] 孙志林,谢鉴衡,段文忠,等. 非均匀沙分级起动规律研究. 水利学报,1997,(10):25-32. (SUN Zhi-lin, XIE Jian-heng, DUAN Wen-zhong, et al. Incipient Motion of Individual Fraction of Nonuniform Sediment. Journal of Hydraulic Engineering,1997, (10):25-32. (in Chinese))
[3] 何文社, 方 铎, 曹叔尤,等. 泥沙起动判别标准探讨. 水科学进展, 2003, 14(2):143-146. (HE Wen-she, FANG Duo, CAO Shu-you, et al. Study on Standards for Incipient Motion of Sediment. Advances in Water Science, 2003,14(2):143-146. (in Chinese))
[4] 王智娟,刘兴年. 水流流速与泥沙起动概率关系研究. 东北水利水电, 2004,22(239): 1-5. (WANG Zhi-juan, LIU Xing-nian. Study on Relationship between Flow and Velocity and Silt Tractive Probability. Water Resource & Hydropower of Northeast China, 2004,22(239):1-5. (in Chinese))
[5] 刘春嵘, 邓丽颖, 呼和敖德. 复杂流动下泥沙起动概率的图像测量. 湖南大学学报(自然科学版) , 2008,35(3):24-27. (LIU Chun-rong, DENG Li-ying, HUHE Ao-de. Image Measurement of the Probability of Sediment Incipience under Complex Flow. Journal of Hunan University (Natural Sciences), 2008,35(3):24-27. (in Chinese))
[6] 孙志林, 黄赛花,祝丽丽,等.黏性非均匀沙的起动概率. 浙江大学学报(工学版), 2007, 41(1): 18-22. (SUN Zhi-lin, HUANG Sai-hua, ZHU Li-li, et al. Incipient Probability of Cohesive Nonuniform Sediment. Journal of Zhejiang University(Engineering Science), 2007,41(1):18-22. (in Chinese))
[7] 于 渌,郝柏林. 相变与临界现象. 北京:科学出版社,1984. (YU Lu,HAO Bai-lin. Phase Transition and Critical Phenomena. Beijing: Science Press,1984. (in Chinese))
[8] 张小峰,谢葆玲. 泥沙起动概率与起动流速. 水利学报,1995,(10):53-59. (ZHANG Xiao-feng, XIE Bao-ling. Incipient Probability and Flow of Sediment. Journal of Hydraulic Engineering,1995,(10): 53-59. (in Chinese))
[9] 钱 宁,万兆惠. 泥沙运动力学. 北京:科学出版社,1983.(QIAN Ning,WAN Zhao-hui. Sediment Movement Mechanics. Beijing: Science Press,1983. (in Chinese))
[10]徐俊锋, 韩其为,方春明. 推移质低输沙率. 天津大学学报, 2012,45(3): 191-195. (XU Jun-feng, HAN Qi-wei, FANG Chun-ming. Low Transport Rate of Bed Load. Journal of Tianjin University, 2012,45(3):191-195. (in Chinese))
[11]汪富泉,李后强. 分形-大自然的艺术构造. 济南:山东教育出版社,1996. (WANG Fu-quan, LI Hou-qiang. Fractal: The Artistic Structure of Nature. Ji’nan: Shandong Education Press,1996. (in Chinese))
[12]姚令侃. 非线性科学探索推移质运动复杂性的研究. 成都:四川联合大学,1996.(YAO Ling-kan. Study on the Complexity of Bed Load Movement by Nonlinear Science. Chengdu: Sichuan Union University, 1996. (in Chinese))
