Comprehensive Analysis of Geometric Model of a Variable Thickness Scroll Expander

doi:10.16183/j.cnki.jsjtu.2022.354

Abstract

Abstract:

A novel variable thickness scroll expander composed of involutes of circle with different base circle radii is proposed. The generating method of profile is discussed, the general equation of profile is given, and a series of geometric models of the variable thickness scroll expander are established. According to the established geometric model, the influence of control coefficient on the volume change of the variable thickness scroll expander is analyzed. In addition, the geometric models of the traditional equal constant thickness and variable thickness scroll expander are constructed, and the advantages and disadvantages of the geometric models are compared. The results show that the novel variable thickness scroll expander model not only has the advantages of the traditional variable thickness model, but also greatly reduces the amount of calculation. To a certain extent, it enriches the types of variable thickness scroll expanders and provides reference for the development of high-performance scroll expanders.

Key words: involute of circle, scroll expander, variable thickness, geometric model, control coefficient

CLC Number:

TH45

ZHANG Pengcheng, PENG Bin, MA Jie. Comprehensive Analysis of Geometric Model of a Variable Thickness Scroll Expander[J]. Journal of Shanghai Jiao Tong University, 2023, 57(3): 309-315.

Figures/Tables 13

Fig.1

Tab.1

Fig.2

Fig.3

Fig.4

Fig.5

Fig.6

Tab.2

Fig.7

Fig.8

Fig.9

Fig.10

Fig.11

References 19

[1]	GIUFFRIDA A. A theoretical study on the performance of a scroll expander in an organic Rankine cycle with hydrofluoroolefins (HFOs) in place of R245fa[J]. Energy, 2018, 161: 1172-1180. doi: 10.1016/j.energy.2018.07.146 URL
[2]	MUYE J, KUMAR G P, BRUNO J C, et al. Modelling of scroll expander for different working fluids for low capacity power generation[J]. Applied Thermal Engineering, 2019, 159: 113932.
[3]	LI L, TAO L R, GOU Y N, et al. Improvement and experimental study of scroll expander for organic Rankine cycle[J]. Energy Engineering, 2020, 117(4): 225-235. doi: 10.32604/EE.2020.010892 URL
[4]	CHA D A, 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. doi: 10.1007/s12206-014-0745-7 URL
[5]	EMHARDT S, TIAN G H, SONG P P, et al. CFD modelling of small scale ORC scroll expanders using variable wall thicknesses[J]. Energy, 2020, 199: 117399.
[6]	彭斌, 李要红, 赵生显. 涡旋膨胀机的性能模拟[J]. 中国机械工程, 2018, 29(8): 965-970.
	PENG Bin, LI Yaohong, ZHAO Shengxian. Performance simulation for scroll expanders[J]. China Mechanical Engineering, 2018, 29(8): 965-970.
[7]	WEI M S, SONG P P, ZHAO B, et al. Unsteady flow in the suction process of a scroll expander for an ORC waste heat recovery system[J]. Applied Thermal Engineering, 2015, 78: 460-470. doi: 10.1016/j.applthermaleng.2015.01.010 URL
[8]	崔颂, 吴竺, 刘柳辰, 等. 无油涡旋膨胀机性能实验研究[J]. 太阳能学报, 2019, 40(1): 30-37.
	CUI Song, WU Zhu, LIU Liuchen, et al. Experimental investigation on performance of oil-free scroll expander[J]. Acta Energiae Solaris Sinica, 2019, 40(1): 30-37.
[9]	梁任, 余岳峰, 陈亮乐, 等. 螺杆膨胀机有机朗肯循环系统的变工况特性[J]. 上海交通大学学报, 2014, 48(9): 1291-1296.
	LIANG Ren, YU Yuefeng, CHEN Liangle, et al. Characteristics of variable conditions of screw expander system based on organic Rankine cycle[J]. Journal of Shanghai Jiao Tong University, 2014, 48(9): 1291-1296.
[10]	BELL I H, GROLL E A, BRAUN J E, et al. Comprehensive analytic solutions for the geometry of symmetric constant-wall-thickness scroll machines[J]. International Journal of Refrigeration, 2014, 45: 223-242. doi: 10.1016/j.ijrefrig.2014.05.029 URL
[11]	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. doi: 10.3901/JME.2015.14.185
	PENG Bin, SUN Ying. Investigation of mathematical modeling and experiment for variable thickness scroll compressor[J]. Journal of Mechanical Engineering, 2015, 51(14): 185-191. doi: 10.3901/JME.2015.14.185
[12]	BUSH J W, BEAGLE W P, HOUSMAN M E. Maximizing scroll compressor displacement using generalized profile geometry[C]// Proceedings of International Compressor Engineering Conference at Purdue. Indiana, USA: Rau W. Herrick Laboratories Press, 1994: 205-210.
[13]	陈进, 张永栋, 宋立权, 等. 基于多目标遗传算法的涡旋型线形状优化[J]. 机械工程学报, 2005, 41(1): 172-175.
	CHEN Jin, ZHANG Yongdong, SONG Liquan, et al. Profile optimization of scrolls based on multiobjective genetic algorithms[J]. Chinese Journal of Mechanical Engineering, 2005, 41(1): 172-175.
[14]	LIU Y G, 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. doi: 10.1016/j.mechmachtheory.2012.04.002 URL
[15]	王君, 李雪琴. 双涡旋齿涡旋机械渐变壁厚型线的构建[J]. 中国石油大学学报(自然科学版), 2008, 32(3): 128-132.
	WANG Jun, LI Xueqin. Construction of tapered thickness wrap profile for twinwrap scroll machinery[J]. Journal of China University of Petroleum (Edition of Natural Science), 2008, 32(3): 128-132.
[16]	刘涛, 邬再新, 刘振全. 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.
	LIU Tao, WU Zaixin, LIU Zhenquan. Study on generating profile with nomal-equidistant-curve method for scroll compressor[J]. Chinese Journal of Mechanical Engineering, 2004, 40(6): 55-58.
[17]	王君, 刘振全. 涡旋压缩机双圆弧修正的解析法设计及误差分析[J]. 上海交通大学学报, 2005, 39(9): 1418-1421.
	WANG Jun, LIU Zhenquan. An analytical design method of wrap profile modification using symmetrical twin-circular arcs and error analysis for scroll compressors[J]. Journal of Shanghai Jiao Tong University, 2005, 39(9): 1418-1421.
[18]	王国梁. 采用双圆弧加直线单元组合型线的涡旋压缩机理论及试验研究[J]. 机械工程学报, 2010, 46(10): 144-147.
	WANG Guoliang. Theoretical and experimental research on the scroll compressor with arc-arc-line unit combined profile[J]. Journal of Mechanical Engineering, 2010, 46(10): 144-147.
[19]	侯才生, 刘涛. 基于Frenet标架的变截面涡旋型线构建与性能研究[J]. 上海交通大学学报, 2019, 53(12): 1495-1501.
	HOU Caisheng, LIU Tao. Construction and performance investigation of variable cross-section scroll profiles based on Frenet frame[J]. Journal of Shanghai Jiao Tong University, 2019, 53(12): 1495-1501.

n₁	n₂	R₂/mm	θ_M/rad	φ_end/rad
2	1	20	π	8π
3	1	30	4π/3	10π
4	1	40	3π/2	12π
5	1	50	8π/5	14π