The effects of Mach number on turbulence behaviors are investigated by means of direct numerical simulation of compressible turbulent boundary layers with the free-stream Mach numbers 2,4 and 6.Some typical turbulent ...The effects of Mach number on turbulence behaviors are investigated by means of direct numerical simulation of compressible turbulent boundary layers with the free-stream Mach numbers 2,4 and 6.Some typical turbulent quantities,including the velocity and vorticity fluctuations,intermittency,sweep and ejection events and turbulent kinetic energy budget,are analyzed.The turbulence intensities are significantly decreased with the increasing Mach number.The onset of intrinsic intermittency occurs nearer the wall for a higher Mach number.The ejection event is more frequent and the sweep event becomes less frequent.Moreover,the magnitudes of turbulent kinetic energy production,diffusion and transport terms are increased and the solenoidal dissipation is slightly decreased as the Mach number is increased.展开更多
A large-eddy simulation of underexpanded supersonic swirling jets issuing into a quiescent environment was carried out for two typical swirl numbers.The corresponding nonswirling jet was also calculated for comparison...A large-eddy simulation of underexpanded supersonic swirling jets issuing into a quiescent environment was carried out for two typical swirl numbers.The corresponding nonswirling jet was also calculated for comparison and validation against the experimental data.The swirling effect on the various fundamental mechanisms that dictate the intricate flow phenomena,including flow features,shock cell structures.jet spreading characteristics and turbulence behaviors,was carefully analyzed,and it is found that the first shock cell length is reduced in the swirling jet in comparison with the nonswirling jet.A recirculation zone is formed in the high swirl number case,and the jet spreads quickly in the radial direction due to the swirling effect.Moreover,intensive turbulent fluctuations are generated along the jet shear layer and at the end of the jet potential core,which will be helpful in the mixing process.The obtained results provide a physical insight into understanding the mechanisms relevant to underexpanded supersonic swirling jets.展开更多
Characteristics of coherent vortical structures in a compressible turbulent boundary layer are statistically analyzed by means or airect numerical simulation of the compressible Navier-Stokes equations for Mach number...Characteristics of coherent vortical structures in a compressible turbulent boundary layer are statistically analyzed by means or airect numerical simulation of the compressible Navier-Stokes equations for Mach number M=2and Reynolds number Reθ≈1000 based on the inlet momentum thickness.It is found that a large variety of hairpin-like and cane-like vortical structures exist in the boundary layer and the most popular structure is the cane-like one.The injection and sweep events contribute a major proportion of the total Reynolds stress.This study indicates structural similarities with the incompressible case.Moreover,the length scales of coherent structures in the streamwise and spanwise directions increase with the distance from the wall.The inclination angle of vortical structures with respect to the streamwise direction increases from the suboayer to the buffer layer and then decreases from the buffer layer to the wake region.展开更多
Two-dimensional Navier-Stokes equations and energy equation governing incompressible laminar flow past a bundle of cylinders were numerically solved by using the finite element method. The velocity correction method w...Two-dimensional Navier-Stokes equations and energy equation governing incompressible laminar flow past a bundle of cylinders were numerically solved by using the finite element method. The velocity correction method was used for time advancement, and spatial discretization was carried out with the Galerkin weighted residual method. Viscous flows past the cylinder banks arranged in in-line cylinder bundles and staggered cylinder bundles, coupled with heat transfer, were investigated for pitch-diameter ratios of 1.5 and 2.0 and the Reynolds numbers from 50 to 500. Flow structures and heat transfer behavior were discussed. The results obtained agree well with available numerical data.展开更多
Vortex shedding from a circular cylinder subjected to fortal oscillations at arbitrary angles(as shown in Fis. 1 for 0°<β<90°) with respect to the free stream is numerically investigated using the Nav...Vortex shedding from a circular cylinder subjected to fortal oscillations at arbitrary angles(as shown in Fis. 1 for 0°<β<90°) with respect to the free stream is numerically investigated using the Navier-Stokes equations. The emphasis of this study is put on revealing the complicated vortex structures and their evolution in the near wake. In the present study, a number of possible vortex modes are also numerically simulated, and a variety of physical phenomena are duplicated and even renewed numerically. A parameter map indicating the classification of preferred vortex modes is firstly given in the frequency-amplitude plane.展开更多
Turbulent channel flows with consideration of the buoyancy effect of the bubble phase is investigated by means of the Direct Numerical Simulation (DNS). This two-phase system is solved by a two-way coupling Lagrangi...Turbulent channel flows with consideration of the buoyancy effect of the bubble phase is investigated by means of the Direct Numerical Simulation (DNS). This two-phase system is solved by a two-way coupling Lagrangian-Eulerian approach. The Reynolds number based on the friction velocity and the half-width of the channel is 194, and the gravitational acceleration varies from -0.5 to 0.5, ranging from the upflow to the downflow cases. This study aims to reveal the influence of buoyancy on the turbulence behavior and the bubble motion. Some typical statistical quantities, including the averaged velocities and velocity fluctuations for the fluid and bubble phases, as well as the flow structures of the turbulence fluctuations, are analyzed.展开更多
基金by the National Natural Science Foundation of China(No 11072236)the 111 Project(No B07033)the Funda-mental Research Funds for the Central Universities(No WK2090050007).
文摘The effects of Mach number on turbulence behaviors are investigated by means of direct numerical simulation of compressible turbulent boundary layers with the free-stream Mach numbers 2,4 and 6.Some typical turbulent quantities,including the velocity and vorticity fluctuations,intermittency,sweep and ejection events and turbulent kinetic energy budget,are analyzed.The turbulence intensities are significantly decreased with the increasing Mach number.The onset of intrinsic intermittency occurs nearer the wall for a higher Mach number.The ejection event is more frequent and the sweep event becomes less frequent.Moreover,the magnitudes of turbulent kinetic energy production,diffusion and transport terms are increased and the solenoidal dissipation is slightly decreased as the Mach number is increased.
基金Supported by the National Natural Science Foundation of China under Grant Nos 11132010 and 11072236the 111 Project(No B07033).
文摘A large-eddy simulation of underexpanded supersonic swirling jets issuing into a quiescent environment was carried out for two typical swirl numbers.The corresponding nonswirling jet was also calculated for comparison and validation against the experimental data.The swirling effect on the various fundamental mechanisms that dictate the intricate flow phenomena,including flow features,shock cell structures.jet spreading characteristics and turbulence behaviors,was carefully analyzed,and it is found that the first shock cell length is reduced in the swirling jet in comparison with the nonswirling jet.A recirculation zone is formed in the high swirl number case,and the jet spreads quickly in the radial direction due to the swirling effect.Moreover,intensive turbulent fluctuations are generated along the jet shear layer and at the end of the jet potential core,which will be helpful in the mixing process.The obtained results provide a physical insight into understanding the mechanisms relevant to underexpanded supersonic swirling jets.
基金Supported by the National Natural Science Foundation of China under Grant No 11072236and the Fundamental Research Funds for the Central Universities(No WK2090050007).
文摘Characteristics of coherent vortical structures in a compressible turbulent boundary layer are statistically analyzed by means or airect numerical simulation of the compressible Navier-Stokes equations for Mach number M=2and Reynolds number Reθ≈1000 based on the inlet momentum thickness.It is found that a large variety of hairpin-like and cane-like vortical structures exist in the boundary layer and the most popular structure is the cane-like one.The injection and sweep events contribute a major proportion of the total Reynolds stress.This study indicates structural similarities with the incompressible case.Moreover,the length scales of coherent structures in the streamwise and spanwise directions increase with the distance from the wall.The inclination angle of vortical structures with respect to the streamwise direction increases from the suboayer to the buffer layer and then decreases from the buffer layer to the wake region.
基金The project supported by the Natural Science Foundation of China.(No.19889210)
文摘Two-dimensional Navier-Stokes equations and energy equation governing incompressible laminar flow past a bundle of cylinders were numerically solved by using the finite element method. The velocity correction method was used for time advancement, and spatial discretization was carried out with the Galerkin weighted residual method. Viscous flows past the cylinder banks arranged in in-line cylinder bundles and staggered cylinder bundles, coupled with heat transfer, were investigated for pitch-diameter ratios of 1.5 and 2.0 and the Reynolds numbers from 50 to 500. Flow structures and heat transfer behavior were discussed. The results obtained agree well with available numerical data.
文摘Vortex shedding from a circular cylinder subjected to fortal oscillations at arbitrary angles(as shown in Fis. 1 for 0°<β<90°) with respect to the free stream is numerically investigated using the Navier-Stokes equations. The emphasis of this study is put on revealing the complicated vortex structures and their evolution in the near wake. In the present study, a number of possible vortex modes are also numerically simulated, and a variety of physical phenomena are duplicated and even renewed numerically. A parameter map indicating the classification of preferred vortex modes is firstly given in the frequency-amplitude plane.
基金supported by the National Natural Science Foundation of China(Grant Nos.10772173,10972211 and 11072236)the Fundamental Research Funds for the Central Universitiesthe Science and Technology Innovation Foundation of the Chinese Academy of Sciences(Grant No.CXJJ-11-M69)
文摘Turbulent channel flows with consideration of the buoyancy effect of the bubble phase is investigated by means of the Direct Numerical Simulation (DNS). This two-phase system is solved by a two-way coupling Lagrangian-Eulerian approach. The Reynolds number based on the friction velocity and the half-width of the channel is 194, and the gravitational acceleration varies from -0.5 to 0.5, ranging from the upflow to the downflow cases. This study aims to reveal the influence of buoyancy on the turbulence behavior and the bubble motion. Some typical statistical quantities, including the averaged velocities and velocity fluctuations for the fluid and bubble phases, as well as the flow structures of the turbulence fluctuations, are analyzed.