In a magnetohydrodynamic(MHD)driven fluid cell,a plane non-parallel flow in a square domain satisfying a free-slip boundary condition is examined.The energy dissipation of the flow is controlled by the viscosity and l...In a magnetohydrodynamic(MHD)driven fluid cell,a plane non-parallel flow in a square domain satisfying a free-slip boundary condition is examined.The energy dissipation of the flow is controlled by the viscosity and linear friction.The latter arises from the influence of the Hartmann bottom boundary layer in a three-dimensional(3D)MHD experiment in a square bottomed cell.The basic flow in this fluid system is a square eddy flow exhibiting a network of N~2 vortices rotating alternately in clockwise and anticlockwise directions.When N is odd,the instability of the flow gives rise to secondary steady-state flows and secondary time-periodic flows,exhibiting similar characteristics to those observed when N=3.For this reason,this study focuses on the instability of the square eddy flow of nine vortices.It is shown that there exist eight bi-critical values corresponding to the existence of eight neutral eigenfunction spaces.Especially,there exist non-real neutral eigenfunctions,which produce secondary time-periodic flows exhibiting vortices merging in an oscillatory manner.This Hopf bifurcation phenomenon has not been observed in earlier investigations.展开更多
In order to further understand the aerothermodynamic performance and flow loss mechanism of SCO_2 turbines, RANS equations and an SST Turbulence Model were chosen for a numerical study on the secondary flow and vortex...In order to further understand the aerothermodynamic performance and flow loss mechanism of SCO_2 turbines, RANS equations and an SST Turbulence Model were chosen for a numerical study on the secondary flow and vortex structure of cascades using the commercial software CFX. The dimensionless vorticity analysis method was used to study the flow characteristics of the logarithmic layer and viscous sublayer in high pressure guide vane cascades. The new vortex structure and formation mechanism of the vortices were given and analyzed. Simulation results indicated that during the motion of the boundary layer in the cascades, the logarithmic layer and viscous sublayer obtain the different rotational direction vorticity, respectively. The endwall logarithmic layer and pressure side leg of the horseshoe votex gradually develop into the passage vortex, with the endwall viscous sublayer gradually developing into the corner viscous sublayer vortex II and the endwall viscous sublayer vortex I. The endwall viscous sublayer that rolled by the passage vortex is encountered with the upstream-side and radial boundary layer of the vane at the suction separation line, forming the suction separation line vortex beside the passage vortex. A pair of radial transition vortices are formed between the wake and the main stream.展开更多
提出一种基于非结构混合网格和有限体积法的有效计算策略,对第二期国际涡流试验项目(second international vortex flow experiment,VFE-2)的尖前缘65°三角翼在马赫数0.4,迎角20.3°,雷诺数2×10~6条件下的亚音速复杂流场...提出一种基于非结构混合网格和有限体积法的有效计算策略,对第二期国际涡流试验项目(second international vortex flow experiment,VFE-2)的尖前缘65°三角翼在马赫数0.4,迎角20.3°,雷诺数2×10~6条件下的亚音速复杂流场结构进行数值模拟,重点探讨了基于计算数据进行该类型复杂涡系干扰表面和空间流场关键特征提取和数据可视化问题.通过与相关试验类比,建立了与先进试验流动显示技术相比拟的定性和定量分析方法,为三角翼这类复杂流场结构的精细分析奠定了技术基础.采用上述方法,细致分析了亚音速三角翼的大迎角复杂旋涡流场结构,得到了与试验一致的结论.研究证实:在大迎角条件下,三角翼流动物理复杂,黏性效应耦合严重,只有通过N-S方程计算才能准确地捕捉主涡和二次涡的发展.展开更多
In this paper, the self-organization process of the initially scattered 12 meso-β and -γ scale vortices evolving into a synoptic-scale typhoon-like vortex in the context of advection dynamics is numerically explored...In this paper, the self-organization process of the initially scattered 12 meso-β and -γ scale vortices evolving into a synoptic-scale typhoon-like vortex in the context of advection dynamics is numerically explored with an ）f-plane 2-D quasi-geostrophic vorticity equation model. The results show that the self-organization process was a step-by-step merging course, namely the two adjacent vortices first merged, then formed a tri-vortex flow pattern, and finally evolved into a resultant vortex of meso-α scale. Thus it can be seen as an interaction of binary vortices self-organization. Each initial vortex or vorticity lump confronted two ways out： it merged with an adjacent vortex, and thus became a source of the inner region vorticity of the new formed vortex; or it was stretched by the circulation of an adjacent vortex, and then became the vorticity source of the spiral band of new vortex. Similarly, each new formed vortex also confronted the two ways out, until the multi-vortex self-organized into a single vortex of lager scale. The representation precision of the initial vortex structure directly affected the speeds of the mutual rotation and merging of the resultant vortex. Therefore, it is important to provide an accurate description of initial vortex profiles. Finally, a property of the numerical solution of the self-organization for the 2-D quasi-geostrophic flow is that the total kinetic energy decays slowly, the total enstrophy decreases rapidly, and the circulation of the largest scale vortex grows quickly.展开更多
基金Project supported by the National Natural Science Foundation of China(No.11571240)the Shenzhen Natural Science Fund of China(the Stable Support Plan Program No.20220805175116001)。
文摘In a magnetohydrodynamic(MHD)driven fluid cell,a plane non-parallel flow in a square domain satisfying a free-slip boundary condition is examined.The energy dissipation of the flow is controlled by the viscosity and linear friction.The latter arises from the influence of the Hartmann bottom boundary layer in a three-dimensional(3D)MHD experiment in a square bottomed cell.The basic flow in this fluid system is a square eddy flow exhibiting a network of N~2 vortices rotating alternately in clockwise and anticlockwise directions.When N is odd,the instability of the flow gives rise to secondary steady-state flows and secondary time-periodic flows,exhibiting similar characteristics to those observed when N=3.For this reason,this study focuses on the instability of the square eddy flow of nine vortices.It is shown that there exist eight bi-critical values corresponding to the existence of eight neutral eigenfunction spaces.Especially,there exist non-real neutral eigenfunctions,which produce secondary time-periodic flows exhibiting vortices merging in an oscillatory manner.This Hopf bifurcation phenomenon has not been observed in earlier investigations.
基金financially supported by the Postdoctoral Science Foundation of China (Grant No. 2017M613294XB)National Key R&D Program of China (Grant No. 2018YFB1501004)+3 种基金National Natural Science Foundation of China (Grant No. 51406166, 51706181 and 51806172)the Postdoctoral Science Foundation of Shaanxi Province of China (Grant No. 2017BSHQYXMZZ08)Key Programs of China Huaneng Group (Grant No. HNKJ15-H07), R&D Foundation of TPRI (Grant No.ZD-18-TYK13)Young Talent Programs of Chinese Society for Electrical Engineering(Grant No. JLB-2016-70)
文摘In order to further understand the aerothermodynamic performance and flow loss mechanism of SCO_2 turbines, RANS equations and an SST Turbulence Model were chosen for a numerical study on the secondary flow and vortex structure of cascades using the commercial software CFX. The dimensionless vorticity analysis method was used to study the flow characteristics of the logarithmic layer and viscous sublayer in high pressure guide vane cascades. The new vortex structure and formation mechanism of the vortices were given and analyzed. Simulation results indicated that during the motion of the boundary layer in the cascades, the logarithmic layer and viscous sublayer obtain the different rotational direction vorticity, respectively. The endwall logarithmic layer and pressure side leg of the horseshoe votex gradually develop into the passage vortex, with the endwall viscous sublayer gradually developing into the corner viscous sublayer vortex II and the endwall viscous sublayer vortex I. The endwall viscous sublayer that rolled by the passage vortex is encountered with the upstream-side and radial boundary layer of the vane at the suction separation line, forming the suction separation line vortex beside the passage vortex. A pair of radial transition vortices are formed between the wake and the main stream.
文摘提出一种基于非结构混合网格和有限体积法的有效计算策略,对第二期国际涡流试验项目(second international vortex flow experiment,VFE-2)的尖前缘65°三角翼在马赫数0.4,迎角20.3°,雷诺数2×10~6条件下的亚音速复杂流场结构进行数值模拟,重点探讨了基于计算数据进行该类型复杂涡系干扰表面和空间流场关键特征提取和数据可视化问题.通过与相关试验类比,建立了与先进试验流动显示技术相比拟的定性和定量分析方法,为三角翼这类复杂流场结构的精细分析奠定了技术基础.采用上述方法,细致分析了亚音速三角翼的大迎角复杂旋涡流场结构,得到了与试验一致的结论.研究证实:在大迎角条件下,三角翼流动物理复杂,黏性效应耦合严重,只有通过N-S方程计算才能准确地捕捉主涡和二次涡的发展.
基金Supported by the Key Project of National Natural Science Fbundation of China under Grant No. 40333028.
文摘In this paper, the self-organization process of the initially scattered 12 meso-β and -γ scale vortices evolving into a synoptic-scale typhoon-like vortex in the context of advection dynamics is numerically explored with an ）f-plane 2-D quasi-geostrophic vorticity equation model. The results show that the self-organization process was a step-by-step merging course, namely the two adjacent vortices first merged, then formed a tri-vortex flow pattern, and finally evolved into a resultant vortex of meso-α scale. Thus it can be seen as an interaction of binary vortices self-organization. Each initial vortex or vorticity lump confronted two ways out： it merged with an adjacent vortex, and thus became a source of the inner region vorticity of the new formed vortex; or it was stretched by the circulation of an adjacent vortex, and then became the vorticity source of the spiral band of new vortex. Similarly, each new formed vortex also confronted the two ways out, until the multi-vortex self-organized into a single vortex of lager scale. The representation precision of the initial vortex structure directly affected the speeds of the mutual rotation and merging of the resultant vortex. Therefore, it is important to provide an accurate description of initial vortex profiles. Finally, a property of the numerical solution of the self-organization for the 2-D quasi-geostrophic flow is that the total kinetic energy decays slowly, the total enstrophy decreases rapidly, and the circulation of the largest scale vortex grows quickly.
