To improve the design speed and reduce the design cost for the previous blade design method, a modified inverse design method is presented. In the new method, after a series of physical and mathematical simplification...To improve the design speed and reduce the design cost for the previous blade design method, a modified inverse design method is presented. In the new method, after a series of physical and mathematical simplifications, a sail?like constrained area is proposed, which can be used to configure di erent runner blade shapes. Then, the new method is applied to redesign and optimize the runner blade of the scale core component of the 1400?MW canned nuclear coolant pump in an established multi?optimization system compromising the Computational Fluid Dynamics(CFD) analysis, the Response Surface Methodology(RSM) and the Non?dominated Sorting Genetic Algorithm?II(NSGA?II). After the execution of the optimization procedure, three optimal samples were ultimately obtained. Then, through comparative analysis using the target runner blade, it was found that the maximum e ciency improvement reached 1.6%, while the head improvement was about 10%. Overall, a promising runner blade inverse design method which will benefit the hydraulic design of the mixed?flow pump has been proposed.展开更多
On the basis of the three-dimensional design platform of the mixed-flow pump impellers, an optimization design system was developed in this paper by improving the genetic algorithm with application of both strategies ...On the basis of the three-dimensional design platform of the mixed-flow pump impellers, an optimization design system was developed in this paper by improving the genetic algorithm with application of both strategies of keeping the optimal individual and employing the niche. This system took the highest efficiency of the impeller as the optimization objective and employed P, a0 , △θh and △θt , which could directly affect the shape and the position of the blade, as optimization parameters. In addition, loss model was used to obtain fast and accurate prediction of the impeller efficiency. The optimization results illustrated that this system had advantages such as high accuracy and fine convergence, thus to effectively improve the design of the mixed-flow pump impellers. Numerical simulation was applied to determine the internal flow fields of the impeller obtained by optimization design, and to analyze both the relative velocity and the pressure distributions. The test results demonstrated that the mixed flow pump had the highest efficiency of 87.2%, the wide and flat high efficiency operation zone, the relatively wide range of blade angle adjustment, fine cavitation performance and satisfied stability.展开更多
A series of numerical simulations of turbulent single-phase flows are performed to understand the flow and mixing characteristics in a laboratory scale flotation tank.Four impeller blade shapes covering a wide range o...A series of numerical simulations of turbulent single-phase flows are performed to understand the flow and mixing characteristics in a laboratory scale flotation tank.Four impeller blade shapes covering a wide range of surface areas and lip lengths are considered to highlight and contrast the flow behavior predicted in the impeller stream.The mean flow close to the impeller is fully characterized by considering velocity components along the axial direction at different radial locations.Normalized results suggest the development of a comparatively stronger axial velocity component for a blade design with the smallest lip length,called big-tip impeller here.Normalized turbulent kinetic energy profiles close to the impeller reveal the existence of an asymmetric trailing vortex pair.The highest turbulence kinetic energy dissipation rates are observed close to the impeller blades and stator walls where the radial jet strikes the stator walls periodically.Furthermore,liquid phase mixing in the flotation cell is studied using transient scalar tracing simulations providing mixing time data.Finally,pumping capacity and efficiency of different impeller designs are calculated based on which the impeller blade design with a rectangular blade design is found to perform most efficiently.展开更多
The hydraulic performance test of the mixed-flow pump has been carried out through selecting different blade tip clearances and various blade angle errors.The ratio of the mixed-flow pump efficiency reduction and the ...The hydraulic performance test of the mixed-flow pump has been carried out through selecting different blade tip clearances and various blade angle errors.The ratio of the mixed-flow pump efficiency reduction and the blade tip clearance variation(η/δ) varies with the flow rate coefficient revealing a parabolic trend.An empirical equation has been developed for the mixed-flow pump model by parabolic fitting.For the same blade tip clearance variation δ,the mixed-flow pump efficiency reduction η increases rapidly as the flow rate rises.For any given flow rate,the efficiency,the head and the shaft power of the mixed-flow pump all decrease with the increase of the blade tip clearance.Among them,the efficiency reduction η varies approximately linearly with the blade tip clearance variation δ.When the angle of an individual blade of the mixed-flow pump has a deviation,the performance curves will move and change.These curves have consistent change directions with the performance curves under the condition of all the blades rotated at the same time,but have smaller offset and lower range of variation.When an individual blade angle error changes to ±2°,the optimal efficiency of the mixed-flow pump will have no significant difference.When the individual blade angle error increases to ±4°,the optimal efficiency will decrease by 1%.展开更多
By model test and numerical simulation,this paper analyzed the effects of different blades with varying rotation angle deviations on the hydraulic performance of a mixed-flow pump.It was found that when some blades ha...By model test and numerical simulation,this paper analyzed the effects of different blades with varying rotation angle deviations on the hydraulic performance of a mixed-flow pump.It was found that when some blades had rotation angle deviations,the hydraulic performance curves of the mixed-flow pump would move.With a positive deviation,the curves moved towards the large flow rate;with a negative deviation,the curves moved towards the small flow rate.When some blades had rotation angle deviations,the symmetry and uniformity of the pressure distribution inside the mixed-flow pump flow passage both decreased;the larger the deviation,the greater the decrease.When a single blade had a large rotation angle deviation,a rather clear low pressure area was formed,lowering the cavitation performance.When two adjacent blades changed simultaneously,under the small flow rate condition,adverse pressure gradient and flow separation occurred in the flow field,and a hump appeared in the head curve and the operation stability of the mixed-flow pump dropped significantly.Near the best efficiency point(BEP),the simultaneous change of two alternate blades produced a more significant change of pressure in the flow passage,with an even larger area.Compared to the effect of two adjacent blades,two alternate blades,when changed simultaneously,made the mixed-flow pump slightly less efficient,but with a flatter efficiency curve and relatively wider high efficiency area.By fitting the test results,a functional relation among the BEP of the mixed-flow pump QBEP,the number of deviated blades N,and blade rotation angle deviationαwas established,thus realizing an effective prediction of the BEP of the mixed-flow pump when blade rotation angles have deviations.By model test and numerical simulation,this paper analyzed the effects of different blades with varying rotation angle deviations on the hydraulic performance of a mixed-flow pump.It was found that when some blades had rotation angle deviations,the hydraulic performance curves of the mixed-flow pump would move.With a positive deviation,the curves moved towards the large flow rate;with a negative deviation,the curves moved towards the small flow rate.When some blades had rotation angle deviations,the symmetry and uniformity of the pressure distribution inside the mixed-flow pump flow passage both decreased;the larger the deviation,the greater the decrease.When a single blade had a large rotation angle deviation,a rather clear low pressure area was formed,lowering the cavitation performance.When two adjacent blades changed simultaneously,under the small flow rate condition,adverse pressure gradient and flow separation occurred in the flow field,and a hump appeared in the head curve and the operation stability of the mixed-flow pump dropped significantly.Near the best efficiency point(BEP),the simultaneous change of two alternate blades produced a more significant change of pressure in the flow passage,with an even larger area.Compared to the effect of two adjacent blades,two alternate blades,when changed simultaneously,made the mixed-flow pump slightly less efficient,but with a flatter efficiency curve and relatively wider high efficiency area.By fitting the test results,a functional relation among the BEP of the mixed-flow pump QBEP,the number of deviated blades N,and blade rotation angle deviationαwas established,thus realizing an effective prediction of the BEP of the mixed-flow pump when blade rotation angles have deviations.展开更多
基金National Basic Research Program of China(973 Program,Grant No.2015CB057301)Research and Innovation in Science and Technology Major Project of Liaoning Province,China(Grant No.201410001)Collaborative Innovation Center of Major Machine Manufacturing in Liaoning Province,China
文摘To improve the design speed and reduce the design cost for the previous blade design method, a modified inverse design method is presented. In the new method, after a series of physical and mathematical simplifications, a sail?like constrained area is proposed, which can be used to configure di erent runner blade shapes. Then, the new method is applied to redesign and optimize the runner blade of the scale core component of the 1400?MW canned nuclear coolant pump in an established multi?optimization system compromising the Computational Fluid Dynamics(CFD) analysis, the Response Surface Methodology(RSM) and the Non?dominated Sorting Genetic Algorithm?II(NSGA?II). After the execution of the optimization procedure, three optimal samples were ultimately obtained. Then, through comparative analysis using the target runner blade, it was found that the maximum e ciency improvement reached 1.6%, while the head improvement was about 10%. Overall, a promising runner blade inverse design method which will benefit the hydraulic design of the mixed?flow pump has been proposed.
基金supported by the National Natural Science Foundation of China (Grant No. 51176088)
文摘On the basis of the three-dimensional design platform of the mixed-flow pump impellers, an optimization design system was developed in this paper by improving the genetic algorithm with application of both strategies of keeping the optimal individual and employing the niche. This system took the highest efficiency of the impeller as the optimization objective and employed P, a0 , △θh and △θt , which could directly affect the shape and the position of the blade, as optimization parameters. In addition, loss model was used to obtain fast and accurate prediction of the impeller efficiency. The optimization results illustrated that this system had advantages such as high accuracy and fine convergence, thus to effectively improve the design of the mixed-flow pump impellers. Numerical simulation was applied to determine the internal flow fields of the impeller obtained by optimization design, and to analyze both the relative velocity and the pressure distributions. The test results demonstrated that the mixed flow pump had the highest efficiency of 87.2%, the wide and flat high efficiency operation zone, the relatively wide range of blade angle adjustment, fine cavitation performance and satisfied stability.
文摘A series of numerical simulations of turbulent single-phase flows are performed to understand the flow and mixing characteristics in a laboratory scale flotation tank.Four impeller blade shapes covering a wide range of surface areas and lip lengths are considered to highlight and contrast the flow behavior predicted in the impeller stream.The mean flow close to the impeller is fully characterized by considering velocity components along the axial direction at different radial locations.Normalized results suggest the development of a comparatively stronger axial velocity component for a blade design with the smallest lip length,called big-tip impeller here.Normalized turbulent kinetic energy profiles close to the impeller reveal the existence of an asymmetric trailing vortex pair.The highest turbulence kinetic energy dissipation rates are observed close to the impeller blades and stator walls where the radial jet strikes the stator walls periodically.Furthermore,liquid phase mixing in the flotation cell is studied using transient scalar tracing simulations providing mixing time data.Finally,pumping capacity and efficiency of different impeller designs are calculated based on which the impeller blade design with a rectangular blade design is found to perform most efficiently.
基金supported by the National Natural Science Foundation of China (Grant No. 51176088)
文摘The hydraulic performance test of the mixed-flow pump has been carried out through selecting different blade tip clearances and various blade angle errors.The ratio of the mixed-flow pump efficiency reduction and the blade tip clearance variation(η/δ) varies with the flow rate coefficient revealing a parabolic trend.An empirical equation has been developed for the mixed-flow pump model by parabolic fitting.For the same blade tip clearance variation δ,the mixed-flow pump efficiency reduction η increases rapidly as the flow rate rises.For any given flow rate,the efficiency,the head and the shaft power of the mixed-flow pump all decrease with the increase of the blade tip clearance.Among them,the efficiency reduction η varies approximately linearly with the blade tip clearance variation δ.When the angle of an individual blade of the mixed-flow pump has a deviation,the performance curves will move and change.These curves have consistent change directions with the performance curves under the condition of all the blades rotated at the same time,but have smaller offset and lower range of variation.When an individual blade angle error changes to ±2°,the optimal efficiency of the mixed-flow pump will have no significant difference.When the individual blade angle error increases to ±4°,the optimal efficiency will decrease by 1%.
基金supported by the National Natural Science Foundation of China(Grant No.51176088)
文摘By model test and numerical simulation,this paper analyzed the effects of different blades with varying rotation angle deviations on the hydraulic performance of a mixed-flow pump.It was found that when some blades had rotation angle deviations,the hydraulic performance curves of the mixed-flow pump would move.With a positive deviation,the curves moved towards the large flow rate;with a negative deviation,the curves moved towards the small flow rate.When some blades had rotation angle deviations,the symmetry and uniformity of the pressure distribution inside the mixed-flow pump flow passage both decreased;the larger the deviation,the greater the decrease.When a single blade had a large rotation angle deviation,a rather clear low pressure area was formed,lowering the cavitation performance.When two adjacent blades changed simultaneously,under the small flow rate condition,adverse pressure gradient and flow separation occurred in the flow field,and a hump appeared in the head curve and the operation stability of the mixed-flow pump dropped significantly.Near the best efficiency point(BEP),the simultaneous change of two alternate blades produced a more significant change of pressure in the flow passage,with an even larger area.Compared to the effect of two adjacent blades,two alternate blades,when changed simultaneously,made the mixed-flow pump slightly less efficient,but with a flatter efficiency curve and relatively wider high efficiency area.By fitting the test results,a functional relation among the BEP of the mixed-flow pump QBEP,the number of deviated blades N,and blade rotation angle deviationαwas established,thus realizing an effective prediction of the BEP of the mixed-flow pump when blade rotation angles have deviations.By model test and numerical simulation,this paper analyzed the effects of different blades with varying rotation angle deviations on the hydraulic performance of a mixed-flow pump.It was found that when some blades had rotation angle deviations,the hydraulic performance curves of the mixed-flow pump would move.With a positive deviation,the curves moved towards the large flow rate;with a negative deviation,the curves moved towards the small flow rate.When some blades had rotation angle deviations,the symmetry and uniformity of the pressure distribution inside the mixed-flow pump flow passage both decreased;the larger the deviation,the greater the decrease.When a single blade had a large rotation angle deviation,a rather clear low pressure area was formed,lowering the cavitation performance.When two adjacent blades changed simultaneously,under the small flow rate condition,adverse pressure gradient and flow separation occurred in the flow field,and a hump appeared in the head curve and the operation stability of the mixed-flow pump dropped significantly.Near the best efficiency point(BEP),the simultaneous change of two alternate blades produced a more significant change of pressure in the flow passage,with an even larger area.Compared to the effect of two adjacent blades,two alternate blades,when changed simultaneously,made the mixed-flow pump slightly less efficient,but with a flatter efficiency curve and relatively wider high efficiency area.By fitting the test results,a functional relation among the BEP of the mixed-flow pump QBEP,the number of deviated blades N,and blade rotation angle deviationαwas established,thus realizing an effective prediction of the BEP of the mixed-flow pump when blade rotation angles have deviations.
