带弹性分隔板的低雷诺数圆柱绕流尾迹演化特性
|
摘要
为了利用分隔板有效控制圆柱绕流,对雷诺数为100的带弹性分隔板的圆柱绕流开展数值模拟,研究分隔板长度和弹性模量对尾迹流场演化特性的影响,探索斯特劳哈尔数、阻力系数、升力系数和最大振幅率等特征参数的变化规律。研究结果表明:分隔板长度和弹性模量对圆柱绕流尾迹演化影响显著,尾迹流场出现交替脱落漩涡和对称不分离等不同流动结构;斯特劳哈尔数、阻力系数均值、升力系数均方根值和最大振幅率随分隔板长度和弹性模量的变化趋势基本一致,当弹性模量为2.0MPa时,斯特劳哈尔数在分隔板量纲一长度为1.2和2.8处出现极大值;当分隔板量纲一长度为1.2时,斯特劳哈尔数、阻力系数均值、升力系数均方根和最大振幅率的最大值分别为0.302,2.981,1.621和0.280。
To effectively control the flow around a circular cylinder using a elastic splitter plate, numerical simulation was conducted on the flow around a circular cylinder with an elastic splitter plate at Reynolds number of 100. The influence of splitter plate length and modulus of elasticity on evolution of wake characteristics was studied. The change rules of Strouhal number, drag coefficient, lift coefficient and maximum amplitude rate were obtained. The results show that splitter plate length and modulus of elasticity have great effect on evolution of circular cylinder wake. Different fluid structures occur in the flow field, including regular vortex shedding and symmetry without flow separation. The changes of Strouhal number, average drag coefficient, root mean value of lift coefficient, and maximum amplitude rate with splitter plate length are basically the same with that of modulus of elasticity. When modulus of elasticity is 2.0 MPa, the maximum Strouhal number appears at the nondimensional splitter plate length of 1.2 and 2.8. When the nondimensional splitter plate length is 1.2, the maximum Strouhal number, average drag coefficient, root mean value of lift coefficient,and maximum amplitude rate are 0.302, 2.981, 1.621 and 0.280, respectively.
To effectively control the flow around a circular cylinder using a elastic splitter plate, numerical simulation was conducted on the flow around a circular cylinder with an elastic splitter plate at Reynolds number of 100. The influence of splitter plate length and modulus of elasticity on evolution of wake characteristics was studied. The change rules of Strouhal number, drag coefficient, lift coefficient and maximum amplitude rate were obtained. The results show that splitter plate length and modulus of elasticity have great effect on evolution of circular cylinder wake. Different fluid structures occur in the flow field, including regular vortex shedding and symmetry without flow separation. The changes of Strouhal number, average drag coefficient, root mean value of lift coefficient, and maximum amplitude rate with splitter plate length are basically the same with that of modulus of elasticity. When modulus of elasticity is 2.0 MPa, the maximum Strouhal number appears at the nondimensional splitter plate length of 1.2 and 2.8. When the nondimensional splitter plate length is 1.2, the maximum Strouhal number, average drag coefficient, root mean value of lift coefficient,and maximum amplitude rate are 0.302, 2.981, 1.621 and 0.280, respectively.
引文
[1]桑文慧,孙志强,周孑民.有限流道内低雷诺数二维圆柱绕流数值模拟[J].中南大学学报(自然科学版),2012,43(3):1166-1170.SANG Wenhui,SUN Zhiqiang,ZHOU Jiemin.Numerical simulation of two-dimensional flow around a circular cylinder at low Reynolds numbers in finite channel[J].Journal of Central South University(Science and Technology),2012,43(3):1166-1170.
[2]蒋赟,孙志强,周孑民.阻流比对平行壁面间圆柱绕流尾迹演化的影响[J].中南大学学报(自然科学版),2015,46(11):4355-4362.JIANG Yun,SUN Zhiqiang,ZHOU Jiemin.Effect of blockage ratio on circular cylinder wake evolution between parallel walls[J].Journal of Central South University(Science and Technology),2015,46(11):4355-4362.
[3]董振营,周本钊,孙志强,等.矩形管道内低雷诺数圆柱绕流尾迹演化特性[J].中南大学学报(自然科学版),2016,47(1):273-278.DONG Zhenying,ZHOU Benzhao,SUN Zhiqiang,et al.Evolution of circular cylinder wake at low Reynolds number in rectangular channels[J].Journal of Central South University(Science and Technology),2016,47(1):273-278.
[4]王丽燕,孙志强,周天.流道弯曲对圆柱绕流尾迹流场的影响[J].中南大学学报(自然科学版),2017,48(9):2520-2528.WANG Liyan,SUN Zhiqiang,ZHOU Tian.Effect of pipe bends on evolution of circular cylinder wake[J].Journal of Central South University(Science and Technology),2017,48(9):2520-2528.
[5]张力,丁林.钝体绕流的分隔板控制技术研究进展[J].力学进展,2011,41(4):391-399.ZHANG Li,DING Lin.Review on the control of flow over a bluff body using splitter plates[J].Advances in Mechanics,2011,41(4):391-399.
[6]PENG B H,MIAU J J,BAO F,et al.Performance of vortex shedding from a circular cylinder with a slit normal to the stream[J].Flow Measurement and Instrumentation,2012,25:54-62.
[7]LI Saiwei,ZHOU Tian,SUN Zhiqiang,et al.External forced convection from circular cylinders with surface protrusions[J].International Journal of Heat and Mass Transfer,2016,99:20-30.
[8]李金生,张力,丁林,等.流道内分隔板长度对方柱绕流特性的影响[J].浙江大学学报(工学版),2014,48(12):2172-2180.LI Jinsheng,ZHANG Li,DING Lin,et al.Effect of length of splitter plate on flow over a square cylinder in flow channel[J].Journal of Zhejiang University(Engineering Science),2014,48(12):2172-2180.
[9]丁林,张力,杨仲卿.高雷诺数时分隔板对圆柱涡致振动的影响[J].机械工程学报,2013,49(14):133-139.DING Lin,ZHANG Li,YANG Zhongqing.Effect of splitter plate on vortex-induced vibration of circular cylinder at high Reynolds number[J].Journal of Mechanical Engineering,2013,49(14):133-139.
[10]张力,丁林,唐强.分隔板偏角对圆柱受力和脱涡频率的影响[J].工程热物理学报,2011,32(10):1695-1698.ZHANG Li,DING Lin,TANG Qiang.Effect of drift angle of splitter plate over a circular cylinder[J].Journal of Engineering Thermophysics,2011,32(10):1695-1698.
[11]MOHAMED S M A,DOOLAN C J,VINCENT W.Low Reynolds number flow over a square cylinder with a detached flat plate[J].International Journal of Heat and Fluid Flow,2013,36:133-141.
[12]ISLAM S U,MANZOOR R,ZHOU C Y,et al.Numerical investigation of fluid flow past a square cylinder using upstream,downstream and dual splitter plates[J].Journal of Mechanical Science and Technology,2017,31(2):669-687.
[13]WU J,SHU C.Numerical study of flow characteristics behind a stationary circular cylinder with a flapping plate[J].Physics of Fluids,2011,23:073601-1-17.
[14]GU F,WANG J,QIAO X,et al.Pressure distribution,fluctuating forces and vortex shedding behavior of circular cylinder with rotatable splitter plates[J].Journal of Fluids and Structures,2012,28:263-278.
[15]张力,李金生,杨仲卿,等.方柱-弹性分隔板涡致振动数值研究[J].工程热物理学报,2014,35(4):687-690.ZHANG Li,LI Jinsheng,YANG Zhongqing,et al.Numerical investigation of the vortex induced vibration of a square cylinder with flexible plate[J].Journal of Engineering Thermophysics,2014,35(4):687-690.
[16]WU J,SHU C,ZHAO N.Investigation of flow characteristics around a stationary circular cylinder with an undulatory plate[J].European Journal of Mechanics B/Fluids,2014,48:27-39.
[17]LI Saiwei,SUN Zhiqiang.Harvesting vortex energy in the cylinder wake with a pivoting vane[J].Energy,2015,88:783-792.
[18]WEINSTEIN L A,CACAN M R,SO P M,et al.Vortex shedding induced energy harvesting from piezoelectric materials in heating,ventilation and air conditioning flows[J].Smart Materials and Structures,2012,21(4):1-10.
[19]TUREK S,HRON J.Proposal for numerical benchmarking of fluid-structure interaction between an elastic object and laminar incompressible flow[C]//Fluid-Structure Interaction.Berlin,Germany:Springer,2006:371-385.
[20]MALEKZADEH S,SOHANKAR A.Reduction of fluid forces and heat transfer on a square cylinder in a laminar flow regime using a control plate[J].International Journal of Heat and Fluid Flow,2012,34:15-27.
[2]蒋赟,孙志强,周孑民.阻流比对平行壁面间圆柱绕流尾迹演化的影响[J].中南大学学报(自然科学版),2015,46(11):4355-4362.JIANG Yun,SUN Zhiqiang,ZHOU Jiemin.Effect of blockage ratio on circular cylinder wake evolution between parallel walls[J].Journal of Central South University(Science and Technology),2015,46(11):4355-4362.
[3]董振营,周本钊,孙志强,等.矩形管道内低雷诺数圆柱绕流尾迹演化特性[J].中南大学学报(自然科学版),2016,47(1):273-278.DONG Zhenying,ZHOU Benzhao,SUN Zhiqiang,et al.Evolution of circular cylinder wake at low Reynolds number in rectangular channels[J].Journal of Central South University(Science and Technology),2016,47(1):273-278.
[4]王丽燕,孙志强,周天.流道弯曲对圆柱绕流尾迹流场的影响[J].中南大学学报(自然科学版),2017,48(9):2520-2528.WANG Liyan,SUN Zhiqiang,ZHOU Tian.Effect of pipe bends on evolution of circular cylinder wake[J].Journal of Central South University(Science and Technology),2017,48(9):2520-2528.
[5]张力,丁林.钝体绕流的分隔板控制技术研究进展[J].力学进展,2011,41(4):391-399.ZHANG Li,DING Lin.Review on the control of flow over a bluff body using splitter plates[J].Advances in Mechanics,2011,41(4):391-399.
[6]PENG B H,MIAU J J,BAO F,et al.Performance of vortex shedding from a circular cylinder with a slit normal to the stream[J].Flow Measurement and Instrumentation,2012,25:54-62.
[7]LI Saiwei,ZHOU Tian,SUN Zhiqiang,et al.External forced convection from circular cylinders with surface protrusions[J].International Journal of Heat and Mass Transfer,2016,99:20-30.
[8]李金生,张力,丁林,等.流道内分隔板长度对方柱绕流特性的影响[J].浙江大学学报(工学版),2014,48(12):2172-2180.LI Jinsheng,ZHANG Li,DING Lin,et al.Effect of length of splitter plate on flow over a square cylinder in flow channel[J].Journal of Zhejiang University(Engineering Science),2014,48(12):2172-2180.
[9]丁林,张力,杨仲卿.高雷诺数时分隔板对圆柱涡致振动的影响[J].机械工程学报,2013,49(14):133-139.DING Lin,ZHANG Li,YANG Zhongqing.Effect of splitter plate on vortex-induced vibration of circular cylinder at high Reynolds number[J].Journal of Mechanical Engineering,2013,49(14):133-139.
[10]张力,丁林,唐强.分隔板偏角对圆柱受力和脱涡频率的影响[J].工程热物理学报,2011,32(10):1695-1698.ZHANG Li,DING Lin,TANG Qiang.Effect of drift angle of splitter plate over a circular cylinder[J].Journal of Engineering Thermophysics,2011,32(10):1695-1698.
[11]MOHAMED S M A,DOOLAN C J,VINCENT W.Low Reynolds number flow over a square cylinder with a detached flat plate[J].International Journal of Heat and Fluid Flow,2013,36:133-141.
[12]ISLAM S U,MANZOOR R,ZHOU C Y,et al.Numerical investigation of fluid flow past a square cylinder using upstream,downstream and dual splitter plates[J].Journal of Mechanical Science and Technology,2017,31(2):669-687.
[13]WU J,SHU C.Numerical study of flow characteristics behind a stationary circular cylinder with a flapping plate[J].Physics of Fluids,2011,23:073601-1-17.
[14]GU F,WANG J,QIAO X,et al.Pressure distribution,fluctuating forces and vortex shedding behavior of circular cylinder with rotatable splitter plates[J].Journal of Fluids and Structures,2012,28:263-278.
[15]张力,李金生,杨仲卿,等.方柱-弹性分隔板涡致振动数值研究[J].工程热物理学报,2014,35(4):687-690.ZHANG Li,LI Jinsheng,YANG Zhongqing,et al.Numerical investigation of the vortex induced vibration of a square cylinder with flexible plate[J].Journal of Engineering Thermophysics,2014,35(4):687-690.
[16]WU J,SHU C,ZHAO N.Investigation of flow characteristics around a stationary circular cylinder with an undulatory plate[J].European Journal of Mechanics B/Fluids,2014,48:27-39.
[17]LI Saiwei,SUN Zhiqiang.Harvesting vortex energy in the cylinder wake with a pivoting vane[J].Energy,2015,88:783-792.
[18]WEINSTEIN L A,CACAN M R,SO P M,et al.Vortex shedding induced energy harvesting from piezoelectric materials in heating,ventilation and air conditioning flows[J].Smart Materials and Structures,2012,21(4):1-10.
[19]TUREK S,HRON J.Proposal for numerical benchmarking of fluid-structure interaction between an elastic object and laminar incompressible flow[C]//Fluid-Structure Interaction.Berlin,Germany:Springer,2006:371-385.
[20]MALEKZADEH S,SOHANKAR A.Reduction of fluid forces and heat transfer on a square cylinder in a laminar flow regime using a control plate[J].International Journal of Heat and Fluid Flow,2012,34:15-27.