船舶尾流感应磁场特性分析
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摘要
为研究船舶尾流感应磁场的分布特性,利用电磁场边界条件求解麦克斯韦方程组,建立舰船尾流感应电磁场的数学模型,同时借助计算机对特定条件下舰船尾流感应磁场的空间传播特性进行了定量模拟和分析,得到尾流感应磁场强度量级为10~(-12)～10~(-10)T.结果表明:尾流感应磁场强度随传播距离的增大在空间以点扩散形式呈指数衰减,衰减特征在短距离段与一阶Bessel函数分布规律相吻合,可用草帽函数近似模拟.
In order to study the characteristics of induced magnetic field of ship wake,a mathematical model of the induced electromagnetic field of ship wake is established by using the boundary conditions of electromagnetic field to solve Maxwell's equations. The author quantitatively simulated and analyzed the spatial propagating characteristics of the induced magnetic field of wake flow under specific conditions. Then they obtained the magnitude of the wake induced magnetic field of 10~(-12) T ～ 10~(-10) T. The results show that the induced magnetic field intensity was of exponential decrease with the propagation distance in the form of point diffusion. The declining tendency coincides with the distribution of the first order Bessel function in a short distance and this spread characteristic can be simulated by using sombrero function.
In order to study the characteristics of induced magnetic field of ship wake,a mathematical model of the induced electromagnetic field of ship wake is established by using the boundary conditions of electromagnetic field to solve Maxwell's equations. The author quantitatively simulated and analyzed the spatial propagating characteristics of the induced magnetic field of wake flow under specific conditions. Then they obtained the magnitude of the wake induced magnetic field of 10~(-12) T ～ 10~(-10) T. The results show that the induced magnetic field intensity was of exponential decrease with the propagation distance in the form of point diffusion. The declining tendency coincides with the distribution of the first order Bessel function in a short distance and this spread characteristic can be simulated by using sombrero function.
引文
[1]张建生.尾流的光学特性研究与测量[D].西安:中国科学院西安光学精密机械研究所,2001.
[2]张建生,刘建康,冀邦杰,等.真实尾流的光学特性[J].光子学报,2002,31(10):1284-1288.
[3]张建生,何俊华,冀邦杰,等.尾流光学信号的处理方法[J].光子学报,2005,4(8):1274-1277.
[4]SZUTS Z B.Using Motionally-induced Electric Signals to Indirectly Measure Ocean Velocity:Instrumental and Theoretical Developments[J].Progress in Oceanography,2012,96(1):108-127.
[5]CHAVE A D.On the Electromagnetic Fields Induced by Oceanic Internal Waves[J].Journal of geophysical research,1984,89(c6):10519-10528.
[6]张建生,张成基,鲁晓璐,等船舶尾流磁异常模拟系统设计与实现[J].大学物理,2018,37(7):40-46.
[7]ZOU N,NEHORAI A.Detection of Ship Wake Using an Airborne Magnetic Transducer[J].IEEE,2000,38(1):532-539.
[8]张成基.船舶尾流模拟及感应磁场分布特性[D].西安:西安工业大学,2018.
[9]Fang M C,Yang R Y,Shugan I V.Kelvin Ship Wake in the Wind Waves Field and on the Finite Sea Depth[J].Journal of Mechanics,2011,27(1):71-77.
[10]张伽伟,姜润祥.浅海中船舶尾流产生的感应电磁场[J].哈尔滨工程大学学报,2014,8(35):931-935.
[11]DAN M.Induced electromagnetic fields associated with large ship wakes[J].Wave Motion,1994,20(3):283-292.
[12]SCHETZ J A,JAKUBOWSKI AK.Experimental Studies of the Turbulent Wake behind Self-Propelled Slender Bodies[J].AIAA Journal,1975,13(12):1568-1575.
[2]张建生,刘建康,冀邦杰,等.真实尾流的光学特性[J].光子学报,2002,31(10):1284-1288.
[3]张建生,何俊华,冀邦杰,等.尾流光学信号的处理方法[J].光子学报,2005,4(8):1274-1277.
[4]SZUTS Z B.Using Motionally-induced Electric Signals to Indirectly Measure Ocean Velocity:Instrumental and Theoretical Developments[J].Progress in Oceanography,2012,96(1):108-127.
[5]CHAVE A D.On the Electromagnetic Fields Induced by Oceanic Internal Waves[J].Journal of geophysical research,1984,89(c6):10519-10528.
[6]张建生,张成基,鲁晓璐,等船舶尾流磁异常模拟系统设计与实现[J].大学物理,2018,37(7):40-46.
[7]ZOU N,NEHORAI A.Detection of Ship Wake Using an Airborne Magnetic Transducer[J].IEEE,2000,38(1):532-539.
[8]张成基.船舶尾流模拟及感应磁场分布特性[D].西安:西安工业大学,2018.
[9]Fang M C,Yang R Y,Shugan I V.Kelvin Ship Wake in the Wind Waves Field and on the Finite Sea Depth[J].Journal of Mechanics,2011,27(1):71-77.
[10]张伽伟,姜润祥.浅海中船舶尾流产生的感应电磁场[J].哈尔滨工程大学学报,2014,8(35):931-935.
[11]DAN M.Induced electromagnetic fields associated with large ship wakes[J].Wave Motion,1994,20(3):283-292.
[12]SCHETZ J A,JAKUBOWSKI AK.Experimental Studies of the Turbulent Wake behind Self-Propelled Slender Bodies[J].AIAA Journal,1975,13(12):1568-1575.