基于直接自由曲面变形技术的液环泵壳体优化
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摘要
对液环泵壳体型线进行优化分析,提出了基于直接自由曲面变形(DFFD)方法的液环泵壳体型线的响应面优化方法.采用DFFD方法对液环泵壳体型线进行精确的参数化控制,在控制变量空间进行了试验设计,采用VOF模型对液环泵内的气液两相流动进行数值模拟,对液环泵壳体型线进行响应面优化分析,建立了液环泵壳体型线与其进口真空度及效率之间的响应关系,实现了对液环泵进口真空度及效率的优化.算例优化结果表明:壳体型线对液环泵水力性能有较大的影响,在一定范围内可实现泵效率及进口真空度的提高;具有较大吸气区面积扩散比的壳体型线所对应的液环泵具有较高的进口真空度,而泵的效率随该面积比的变化规律正好相反;在试验设计变量空间,泵的效率随其进口真空度的增大近似呈线性下降趋势.
To optimize the liquid-ring pump case,the response surface method based on the direct free-form deformation( DFFD) was proposed. The case profile of liquid-ring pump was parameterized precisely using the direct free-form deformation method. The design of experiment was carried out in the control variables space. The gas-liquid flow in the liquid-ring pump was simulated by using VOF multiphase model. The optimization analysis of the pump case profile was based on the response surface method,and the response relationship between the case profile of liquid-ring pump and the corresponding inlet vacuum pressure and efficiency was established. The inlet vacuum pressure and the pump efficiency of the liquid-ring pump were optimized respectively. The calculation case shows that the pump case profile has a great effect on the hydraulic performance of the liquid-ring pump. Thepump efficiency and inlet vacuum pressure can be improved within a certain range. The pump case profile with a higher area expansion ratio for the suction zone will result in the higher inlet vacuum pressure,and the pump efficiency is on the contrary. With the increase of pump inlet vacuum,the pump efficiency shows an approximately linear decreasing in the design variable space.
To optimize the liquid-ring pump case,the response surface method based on the direct free-form deformation( DFFD) was proposed. The case profile of liquid-ring pump was parameterized precisely using the direct free-form deformation method. The design of experiment was carried out in the control variables space. The gas-liquid flow in the liquid-ring pump was simulated by using VOF multiphase model. The optimization analysis of the pump case profile was based on the response surface method,and the response relationship between the case profile of liquid-ring pump and the corresponding inlet vacuum pressure and efficiency was established. The inlet vacuum pressure and the pump efficiency of the liquid-ring pump were optimized respectively. The calculation case shows that the pump case profile has a great effect on the hydraulic performance of the liquid-ring pump. Thepump efficiency and inlet vacuum pressure can be improved within a certain range. The pump case profile with a higher area expansion ratio for the suction zone will result in the higher inlet vacuum pressure,and the pump efficiency is on the contrary. With the increase of pump inlet vacuum,the pump efficiency shows an approximately linear decreasing in the design variable space.
引文
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[2] TETERYUKOV V I. Effect of body shape on performance of water-ring vacuum pumps[J]. Chemical and petroleum engineering,1966,2(8):511-513.
[3] KAKUDA K,USHIYAMA Y,OBARA S,et al. Flow simulations in a liquid ring pump using a particle method[J]. Computer modeling in engineering&sciences,2010,66(3):215-226.
[4] KARAGANOV L T. Some parameters of liquid-ring compressors[J]. Chemical and petroleum engineering,1969,5(5):362-367.
[5]黄苗苗,李国君,匡晓峰.水环真空泵内部气液两相流动的数值分析[J].船舶力学,2011,15(7):722-729.HUANG Miaomiao,LI Guojun,KUANG Xiaofeng. In water ring vacuum pump gas-liquid two phase flow of numerical analysis[J]. Journal of ship mechanics,2011,15(7):722-729.(in Chinese)
[6]张人会,郭广强,杨军虎,等.液环泵内部气液两相流动及其性能分析[J].农业机械学报,2014,45(12):99-103.ZHANG Renhui,GUO Guangqiang,YANG Junhu,et al. In the liquid ring pump gas liquid two phase flow and its performance analysis[J]. Transactions of CSAM,2014,45(12):99-103.(in Chinese)
[7] HSU W M,HUGHES J F,KAUFMAN H. Direct manipulation of free-form deformations[J]. Acm siggraph computer graphics,1992,26(2):177-184.