运用垂向数值纹影实验技术（NSS_V），研究了潜航体模型在线性分层流体中激发内波的形态特征，测量了类开尔文V形内波的张角、航行方向内波波长λx与内弗罗德数（Fr=U/DN）之间的关系。实验表明：V型内波张角随着弗罗德数增大而减小，在Fr=1附近出现一个异常缓变平台；波峰线相关波长λx与弗罗德数呈线性关系：λx=8.57Fr+1.74。对比实验表明潜航体的指挥塔对三维内波流场影响主要表现为其体积效应及角区的湍流尾迹效应。
Apply from of the Vertical Numerical Synthetic Schlieren (NSS_V), studied morphological character of internal wave by underwater moving body in the stratified fluid with a linear density distribution, angle of Kelvin class wake, sailing direction wave wavelength with Froude number (Fr=U/DN) were measured. Angle of Kelvin class wake decreases with the increase of Froude number, and has an abnormal slowly changing platform appears in the vicinity of Fr=1; There is a linear relationship between wavelength of wave crest line λx and Froude number is λx=8.57Fr+1.74. In addition, experiments show that, the influence of submerged body command tower of three-dimensional flow field of internal waves,mainly manifested as the volume effect and the turbulent wake effect by angular region.
2017,(): 117-122,131 收稿日期：2016-09-12
DOI：10.3404/j.issn.1672-7649.2017.11.022
分类号：U661.1
基金项目：海军工程大学自然科学基金资助项目（HJGSK2014G122）
作者简介：杨圣言(1991-),男,硕士研究生,主要从事分层海水内波现象研究
参考文献：
[1] 梁川, 洪方文, 姚志崇. 有限深分层流体中运动物体尾流生成内波的一种移动脉动源方法[J]. 水动力学研究与进展, 2015, 30(1): 9-17.
LIANG Chuan, HONG Fang-wen, YAO Zhi-chong. Atranslating and pulsating source method for internal waves generated by the wake of a body moving in a stratified fluid of finite depth[J]. Chinese Journal of Hydro-dynamics, 2015, 30(1): 9-17.
[2] 魏岗, 吴宁, 徐小辉, 等. 线性密度分层流体中半球体运动生成内波的实验研究[J]. 物理学报, 2010, 60(4): 0447041-0447047.
WEI Gang, WU Ning, XU Xiao-hui, et al. Experiments on the generation of internal waves by a hemispheroid in a linearly stratified fluid[J]. Acta Physica Sinica, 2011, 60(4): 0447041-0447047.
[3] 李万鹏, 魏岗, 杜辉, 等. 分层流体中螺旋桨效应激发内波的实验分析[J]. 解放军理工大学学报: 自然科学版, 2014, 15(6): 556-582.
LI Wan-peng, WEI Gang, DU Hui, et al. Experimental study on internal wave generated by apropeller in a stratified fluid[J]. Journal of PLA University of Science and Technology(Natural Science Edition). 2014, 15(6): 556-582.
[4] 徐肇廷, 于佳, 王伯雄. 光学在内波实验研究中的应用[J]. 中国海洋大学学报(自然科学版), 2007, 6(6): 861-867.
XU Zhao-ting, YU Jia, WANG Bo-xiong. Application of optics to internal wave experimental research[J]. Periodical of Ocean University of China (natural science), 2007, 6(6): 861-867.
[5] 周文进, 蒋小勤, 王建中, 等. 表面PIV在潜航体兴波伴流场测量中的应用[J]. 舰船科学技术, 2016, 38(6): 75-80.
ZHOU Wen-jin, JIANG Xiao-qin, WANG Jian-zhong, et al. The application of surface PIV in measurement of wave wake of underwater moving body[J]. Ship Science and Technology, 2016, 38(6): 75-80.
[6] DALZIEL S B, HUGHES G O, SUTHERLAND B R. Whole-field density measurements by'synthetic schlieren'[J]. Experiments in Fluids, 2000, 28(4): 322-335.
[7] STUART B D, MAGDA C, SVEEN J K, et al. Simultaneous synthetic schlieren and PIV measurements for internal solitary waves[J], Meas. Sci. Technol. 2007: 18: 533-547.
[8] WEHAUSEN J V, LAITONE E V. Surface wave[M]. Berlin; Handbuch der Physik 9, 1960.
[9] WU J. Mixed region collapse with internal wave generation in A density-stratified medium[J]. Journal of Fluid Mechanics, 1969, 35(3): 531-544.
[10] 冯天植, 刘成民, 赵润祥, 等. 纹影技术述评[J]. 弹道学报, 1994, 2: 89-96.
FENG Tian-zhi, LIU Cheng-min, ZHAO Run-xiang, et al. Schlieren methods: a review of techniques[J]. Journal of Ballistics, 1994, 2: 89-96.
[11] MAXWORTHYT. On the formation of non-linear internal waves from the gravitational collapse of mixed regions in two andthree dimensions[J]. Journal of Fluid Mechanics, 1980. 96(1): 47-64.
[12] 赵先奇, 尤云祥, 陈科, 等. 分层流体中细长体生成内波的实验研究[J]. 上海交通大学学报, 2009. 8: 1298-1301.
ZHAO Xian-qi, YOU Yun-xiang, CHEN Ke, et al. Experimental study on the generation of internal wavesby a slender body in stratified fluid[J]. Journal of Shanghai Jiaotong University, 2009. 8: 1298-1301.
[13] 张华, 吕志咏, 孙盛东. 应用PIV对角区非定常马蹄涡结构的实验研究[J]. 力学学报, 2008, 40(2): 171-178.
ZHANG Hua, LV Zhi-yong, SUN Sheng-dong. The experimental study on unsteady horseshoe vortex structure in juncture flow PIV[J]. Chinese Journal of Theoretical and Applied Mechanics, 2008, 40(2): 171-178.
