电磁力控制圆柱体三维绕流场的脱体涡模拟

摘要/Abstract

摘要：

利用Maxwell方程组直接数值计算表面包覆电极与磁极圆柱体产生的电磁力分布,将其加入到动量方程中,采用脱体涡模拟(DES)方法,在雷诺数Re=3 900时,对电磁力作用下圆柱体在弱电解质中的绕流场结构及其升阻力特性进行了数值模拟与分析.结果表明,电磁力作用可提高圆柱体边界层内的流体动能,抑制流动分离的产生,减弱圆柱绕流场的三维特性,在电磁力作用参数达到某个临界值后,在圆柱体后方产生射流现象;同时,随着电磁力作用参数的增大,圆柱体压差阻力及其总阻力减小,但摩擦阻力增大,而且电磁力的作用还可以显著减小升力脉动幅值.

关键词: 圆柱绕流, 电磁力, 流动控制, 脱体涡模拟

Abstract:

The distribution of the electromagnetic force around a cylinder covered by electromagnetic actuators was obtained by solving the Maxwell equation system, and such an electromagnetic force was added to the momentum equation of the flow governing equation system. The detached eddy simulation (DES) method was adopted to simulate and analyze the flow characteristics around a circular cylinder and its lift/drag characteristics in a weakly conductive fluid at Reynolds number Re=3 900. Results show that the electromagnetic force can increase the fluid kinetic energy near the cylinder wall, delay flow separation and weaken the flow threedimensional effect, as well as the jet phenomenon produces after the electromagnetic force parameter reaches some certain critical value. Moreover, the total and pressure difference drags decrease with the increase of the electromagnetic force parameter; however the friction increases, and the electromagnetic force can significantly reduce the lift fluctuation amplitudes.

Key words: flow around a cylinder, electromagnetic force, flow control, detached eddy simulation

中图分类号:

O 357.4

尹纪富,尤云祥,李巍,胡天群. 电磁力控制圆柱体三维绕流场的脱体涡模拟[J]. 上海交通大学学报（自然版）, 2014, 48(02): 244-251.

YIN Jifu,YOU Yunxiang,LI Wei,HU Tianqun. Detached Eddy Simulation of Electromagnetic Control of Three-Dimensional Flow Around a Circular Cylinder[J]. Journal of Shanghai Jiaotong University, 2014, 48(02): 244-251.

参考文献

［1］Blevins R D. Flowinduced vibration［M］. New York: Van Nostrand Reinhold Co, 1977.

［2］Dong S, Karniadakis G E. DNS of flow past a stationary and oscillating cylinder at Re=104［J］. Journal of Fluids and Structures, 2005, 20(4): 519531.

［3］Benim A C, Pasqualotto E, Suh S H. Modelling turbulent flow past a circular cylinder by RANS, URANS, LES and DES［J］. Progress in Computational Fluid Dynamics, an International Journal, 2008, 8(5): 299307.

［4］Ong M C, Utnes T, Holmedal L E, et al. Numerical simulation of flow around a smooth circular cylinder at very high Reynolds numbers［J］. Marine Structures, 2009, 22(2): 142153.

［5］Kwon K, Choi H. Control of laminar vortex shedding behind a circular cylinder using splitter plates［J］. Physics of Fluids, 1996, 8(2): 479487.

［6］Li Z, Navon I M, Hussaini M Y, et al. Optimal control of cylinder wakes via suction and blowing［J］. Computers & Fluids, 2003, 32(2): 149171.

［7］陈虹.分离流动的电磁力主动控制［D］.武汉:华中科技大学自动化学院,2011.

［8］Breuer K S, Park J, Henoch C. Actuation and control of a turbulent channel flow using Lorentz forces［J］. Physics of Fluids, 2004, 16(4): 897907.

［9］罗世东,许春晓,崔桂香. 圆管湍流减阻电磁力控制的直接数值模拟［J］.力学学报, 2007, 39(3):311320.

LUO Shidong, XU Chunxiao, CUI Guixiang. Direct numerical simulation of turbulent pipe flow controlled by MHD for drag reduction［J］. Acta Mechanica Sinca, 2007, 39(3):311320.

［10］梅栋杰, 范宝春, 陈耀慧,等. 道槽湍流展向振荡电磁力减阻的机理研究［J］.力学学报, 2011, 43(4):653660.

MEI Dongjie, FAN Baochun, CHEN Yaohui, et al. Mechanism of drag reduction by spanwise oscillating Lorentz force in turbulent channel flow［J］. Acta Mechanica Sinca, 2011, 43(4):653660.

［11］Weier T, Gerbeth G, Mutschke G, et al. Experiments on cylinder wake stabilization in an electrolyte solution by means of electromagnetic forces localized on the cylinder surface［J］. Experimental Thermal and Fluid Science, 1998, 16(1): 8491.

［12］Weier T, Fey U, Gerbeth G, et al. Boundary layer control by means of wall parallel Lorentz forces［J］. Magnetohydrodynamics, 2001, 37(1/2): 177186.

［13］Kim S J, Lee C M. Investigation of the flow around a circular cylinder under the influence of an electromagnetic force［J］. Experiments in Fluids, 2000, 28(3): 252260.

［14］张辉,范宝春,陈志华. 圆柱绕流电磁控制影响因素的实验研究［J］.实验力学,2009, 24(5):427432.

ZHANG Hui, FAN Baochun, CHEN Zhihua. Experimental investigation on influencing factors of electromagnetic force in cylinder wake control［J］. Journal of Experimental Mechanics, 2009, 24(5): 427432.

［15］ZHANG Hui, FAN Baochun, CHEN Zhihua, et al. Effect of the Lorentz force on cylinder drag reduction and its optimal location［J］. Fluid Dynamic Research, 2011, 43(1):118.

［16］Oliver P, Roger G. Electromagnetic control of seawater flow around circular cylinders［J］. European Journal of MechanicsB/Fluids, 2001, 20(2):255274.

［17］张辉,范宝春,陈志华.电磁激活板宽度对圆柱绕流控制的影响［J］.工程力学, 2007, 24(12):164168.

ZHANG Hui, FAN Baochun, CHEN Zhihua. Cylinder wake flow affected by width of electromagnetic actuator［J］. Engineering Mechanics,2007, 24(12): 164168.

［18］尹纪富,李巍,尤云祥,等.亚临界区雷诺数下电磁力控制圆柱体绕流场特性的脱体涡模拟［J］.水动力学研究与进展,2013,28(4):495506.

YIN Jifu, LI Wei, YOU Yunxiang, et al. The DES simulation for flow control around a circular cylinder using the electromagnetic force at a subcritical Reynolds number［J］. Chinese Journal of Hydrodynamic, 2013,28(4):495506.

［19］Kim S J, Lee C M. Investigation of the flow around a circular cylinder under the influence of an electromagnetic force［J］. Exp Fluids, 2000, 28(3): 252260.

［20］Norberg C. Flow around a circular cylinder: Aspects of fluctuating lift［J］. Journal of Fluids and Structures, 2001, 15(34): 459469.

［21］Zdravkovich M M. Flow around circular cylinders: Fundamentals［M］. Oxford: Oxford University Press,1997.

［22］Schlichting H. Boundarylayer theory［M］. New York: McGrawHill, 1968.

[1]	郭志远, 虞培祥, 欧阳华. 基于大涡模拟的圆柱绕流剪切层不稳定性[J]. 上海交通大学学报, 2021, 55(8): 924-933.
[2]	易仕和, 丁浩林. 适用高超声速飞行环境的超声速气膜冷却光学窗口研究进展[J]. 空天防御, 2021, 4(4): 1-13.
[3]	田新亮. “软尾减阻”述评[J]. 上海交通大学学报, 2021, 55(2): 213-214.
[4]	蒋科, 张德华, 戚昱, 苏仰旋, 赵毅, 田润红. 亚临界雷诺数条件下圆柱绕流特性研究[J]. 海洋工程装备与技术, 2017, 4(1): 37-42.
[5]	赵骥，朱仁传，缪国平. 基于Helmholtz速度分解的黏势流耦合方法[J]. 上海交通大学学报（自然版）, 2016, 50(01): 103-109.
[6]	周涛，李亚林,陈迎春. 增升装置中的流动控制技术[J]. 上海交通大学学报（自然版）, 2014, 48(02): 215-221.
[7]	余锐，羌晓青，滕金芳，杜朝辉. 高负荷扩压静叶中附面层抽吸策略的设计与优化[J]. 上海交通大学学报（自然版）, 2014, 48(02): 222-228.
[8]	陈薛浩, 朱志夏. 基于Fluent的海底管线附近流场分析[J]. 上海交通大学学报（自然版）, 2012, 46(03): 458-462.