基于Frenet标架的变截面涡旋压缩机型线的研究
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摘要
针对传统变截面涡旋型线难以达到最佳压缩特性的问题,提出了一种基于Frenet标架的涡旋型线构建方法,利用该方法构建了由不同基圆半径的圆渐开线组合而成的变截面涡旋型线,并提出了该型线的基本几何关系,推导了工作腔容积计算公式,引入了行程容积、压缩比和面积利用系数三个性能指标对其性能进行评价.结果表明:新构建的变截面涡旋型线与传统的变截面涡旋型线相比,其行程容积、压缩比和面积利用系数分别提高了9.12%,16.44%和9.06%.
In order to solve the problem of optimal compression characteristic in the traditional variable cross-section scroll profiles,a method of constructing profiles based on Frenet frame was proposed.Variable cross-section scroll profiles formed by base circle involute with different radius of base circle were constructed by using the method,the basic geometrical theory of the profile was established and the working chamber volume was also derived.Then three performance indexes,displacement volume,compression ratio and area utilization coefficient,were introduced to evaluate its performance.The results show that the newly constructed variable cross-section scroll profiles have better performance than traditional variable cross-section scroll profiles,and the displacement volume,compression ratio and area utilization coefficient are improved 9.12%,16.44% and 9.06% respectively.
In order to solve the problem of optimal compression characteristic in the traditional variable cross-section scroll profiles,a method of constructing profiles based on Frenet frame was proposed.Variable cross-section scroll profiles formed by base circle involute with different radius of base circle were constructed by using the method,the basic geometrical theory of the profile was established and the working chamber volume was also derived.Then three performance indexes,displacement volume,compression ratio and area utilization coefficient,were introduced to evaluate its performance.The results show that the newly constructed variable cross-section scroll profiles have better performance than traditional variable cross-section scroll profiles,and the displacement volume,compression ratio and area utilization coefficient are improved 9.12%,16.44% and 9.06% respectively.
引文
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[2]LU Y,ROSKILLY A P,JIANG L,et al.Analysis of a1 kW organic rankine cycle using a scroll expander for engine coolant and exhaust heat recovery[J].Frontiers in Energy,2017,11(4):527-534.
[3]DONG A C,KWON O K,OH M D.An experimental study on semiconductor process chiller using the digital scroll compressor[J].Journal of Mechanical Science and Technology,2014,28(8):3345-3352.
[4]SHAFFER B,GROLL E.Variable wall thickness scroll geometry modeling with use of a control volume approach[J].International Journal of Refrigeration,2013,36(7):1809-1820.
[5]彭斌,孙迎.变截面涡旋压缩机数学模型及试验研究[J].机械工程学报,2015,51(14):185-191.
[6]LIU Y,TANG Y,CHANG Y,et al.Optimum design of scroll profiles created from involute of circle with variable radii by using finite element analysis[J].Mechanism and Machine Theory,2012,55:1-17.
[7]王立存,陈进.基于多学科设计优化的通用涡旋型线形状优化[J].华中科技大学学报:自然科学版,2008,36(3):12-15.
[8]王立存,陈进,张贤明,等.基于泛函的制冷涡旋压缩机变壁厚涡旋型线理论及形状优化[J].中国机械工程,2010,21(16):1898-1901.
[9]刘涛,吴虎.基于MATLAB遗传算法工具箱的组合涡旋型线优化[J].流体机械,2010,38(7):24-26.
[10]刘涛,邬再新,刘振全,等.法向等距线法生成涡旋压缩机型线的研究[J].机械工程学报,2004,40(6):55-58.
[11]邬再新,杜文武,刘涛,等.渐开线-高次曲线组合型线涡旋压缩机的设计及有限元分析[J].压缩机技术,2011(2):5-9.