基于响应面法的结构参数对引射器引射系数影响的仿真研究

贾德民; 王晓艳; 王培伦; 于彬彬; 徐煜; 陈修旻; 赵建辉

doi:10.3969/j.issn.0258-2724.20220232

基于响应面法的结构参数对引射器引射系数影响的仿真研究

doi: 10.3969/j.issn.0258-2724.20220232

1.
潍柴动力股份有限公司内燃机可靠性国家重点实验室，山东潍坊，261001
2.
哈尔滨工程大学动力与能源工程学院，黑龙江哈尔滨，150001

基金项目: 内燃机可靠性国家重点实验室开放基金（skler-202012）

详细信息

作者简介:
贾德民（1987 —），男，高级工程师，研究方向为内燃机先进技术，E-mail：690878234@qq.com

通讯作者:
赵建辉（1981—），男，教授，研究方向为柴油机燃料喷射技术，E-mail： zhao163.163@163.com

中图分类号: TK401
计量
- 文章访问数: 350
- HTML全文浏览量: 309
- PDF下载量: 58
- 被引次数: 0
出版历程
- 收稿日期: 2022-04-19
- 修回日期: 2022-06-16
- 网络出版日期: 2023-11-18
- 刊出日期: 2022-07-13

Simulation Study of Influence of Structural Parameters on Entrainment Coefficient of Ejector Based on Response Surface Method

1.
State Key Laboratory of Engine Reliability, Weichai Power Co., Ltd., Weifang 261001, China
2.
College of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, China

摘要

摘要:
为分析引射器引射系数的显著影响因素，建立以空气为介质的引射器二维可压缩流动数值模型，基于实验数据完成了引射器模型计算准确性的校核验证. 采用D最优实验设计方法设计计算矩阵，基于最小二乘法构建二阶形式的引射系数响应面预测模型，并基于响应面预测模型开展了引射系数显著参数及参数交互作用的仿真分析. 研究结果表明：引射系数预测值和计算值的吻合性证明了响应面预测模型的准确性；扩压段长度、混合段长度、混合段直径和喷嘴出口到混合段入口距离的交互、混合段直径和混合段长度的交互、混合段长度和扩压段扩散角的交互是引射器引射系数的关键影响因素，因其对引射系数影响的P值小于0.001；扩压段扩散角、喷嘴出口到混合段距离和扩压段长度的交互、混合段长度和喷嘴出口到混合段距离的交互对引射系数具有重要的影响，是引射系数影响的主要参数；在参数显著交互作用中，影响引射系数的显著因素是变化的，取决于显著交互作用双参数的取值范围.
- 引射系数 /
- 参数敏感性分析 /
- 引射器 /
- 响应面模型
Abstract:
To analyze the significant influencing factors of the entrainment coefficient of the ejector, a two-dimensional numerical model of the compressible flow of the ejector with air as the working medium was established, and its calculation accuracy was validated by the experimental data. Meanwhile, the calculation matrix was designed by utilizing the D-optimal experimental design method. Based on the least-squares method, the response surface prediction model of the entrainment coefficient with a second-order form was constructed, and the significant parameters of the ejection coefficient and their interaction were simulated based on the constructed model. The research results show that the coincidence between the predicted and calculated values of the entrainment coefficients proves the accuracy of the response surface prediction model; the interaction between the length of the diffuser section, the mixing section length, the diameter of the mixing section, and the distance from the nozzle outlet to the inlet of the mixing section, the interaction between the mixing section diameter and mixing section length, and the interaction between the mixing section length and the diffusion angle of the diffuser section are the key factors affecting the entrainment coefficient because their P-values are less than 0.001. Meanwhile, the interaction of the diffusion angle of the diffuser section, the distance from the nozzle outlet to the inlet of the mixing section and the length of the diffuser section, and the interaction between the length of the mixing section and the distance from the nozzle outlet to the inlet of the mixing section have an important influence on the entrainment coefficient. Therefore, they are the main parameters affecting the entrainment coefficient. In addition, it is found that among the significant interaction of parameters, the significant factors affecting the entrainment coefficient will change with the value range of the two parameters with significant interaction.
- entrainment coefficient /
- parameter sensitivity analysis /
- ejector /
- response surface model

HTML全文

图 1 亚音速引射器结构

Figure 1. Structure of subsonic ejector

下载: 全尺寸图片幻灯片

图 2 引射器流域网格

Figure 2. Grid of flow domain in ejector

下载: 全尺寸图片幻灯片

图 3 引射系数随网格数量的变化

Figure 3. Variation of entrainment coefficient with the number of grids

下载: 全尺寸图片幻灯片

图 4 模型计算结果与实验数据的对比

Figure 4. Comparison between calculated values of the model and experimental data

下载: 全尺寸图片幻灯片

图 5 引射系数的预测值与计算值对比

Figure 5. Comparison between predicted values and calculated values of entrainment coefficient

下载: 全尺寸图片幻灯片

图 6 μ、G_p、G_s随L_s的变化

Figure 6. Variation of μ, G_p, and G_s with L_s

下载: 全尺寸图片幻灯片

图 7 不同L_s下压力、流体速度分布云图

Figure 7. Pressure and velocity distribution of the flow under different L_s

下载: 全尺寸图片幻灯片

图 8 μ、G_p、G_s随L_k的变化情况

Figure 8. Variations of μ, G_p, and G_s with L_k

下载: 全尺寸图片幻灯片

图 9 不同L_k下压力、流体速度分布云图

Figure 9. Pressure and velocity distribution of the flow under different L_s

下载: 全尺寸图片幻灯片

图 10 μ、G_p、G_s随θ_s的变化情况

Figure 10. Variations of μ, G_p, and G_s with θ_s

下载: 全尺寸图片幻灯片

图 11 不同θ_s下的速度分布

Figure 11. Velocity distribution under different θ_s

下载: 全尺寸图片幻灯片

图 12 L_k和d_k对μ的交互影响

Figure 12. Effect of interaction between L_k and d_k on μ

下载: 全尺寸图片幻灯片

图 13 L_c和d_k对μ的交互影响

Figure 13. Effect of interaction between L_c and d_k on μ

下载: 全尺寸图片幻灯片

图 14 L_k和θ_s对μ的交互影响

Figure 14. Effect of interaction between L_k and θ_s on μ

下载: 全尺寸图片幻灯片

图 15 L_c和L_k对μ的交互影响

Figure 15. Effect of interaction between L_c and L_k on μ

下载: 全尺寸图片幻灯片

图 16 L_c和L_s对μ的交互影响

Figure 16. Effect of interaction between L_c and L_s on μ

下载: 全尺寸图片幻灯片

表 1 引射器主要结构参数

Table 1. Main structural parameters of the ejector

参数	数值
混合段直径 d_k/mm	44.1
喷嘴出口到混合段入口距离 L_c/mm	51
混合段长度 L_k/mm	265
扩压段长度 L_s/mm	315
扩压段扩散角 θ_s/（°）	8

下载: 导出CSV

表 2 不同压力下引射器实验结果^[8]（P_c=1100.1 kPa）

Table 2. Experimental results of the ejector under different pressures^[8] （P_c = 1100.1 kPa）

组别	P_p/kPa	P_s/kPa	G_p/（g·ms⁻¹）	G_s/（g·ms⁻¹）
A1	300	85.1	130.7	40.2
A2	300	90.0	130.8	176.3
A3	300	95.0	130.9	272.1
A4	300	97.5	130.9	337.9
A5	301	99.9	130.8	389.0

下载: 导出CSV

表 3 引射器结构参数的变化范围

Table 3. Variation range of structural parameters of ejector

参数	基准值	变化范围
d_k/mm	44.1	40.1～48.1
L_s/mm	315	265～365
L_k/mm	175	85～265
θ_s/（°）	8	4～12
L_c/mm	55	35～75

下载: 导出CSV

表 4 引射器计算参数及引射系数

Table 4. Calculation matrix and entrainment coefficient of ejector

组别	d_k/mm	L_s/mm	L_k/mm	θ_s/（°）	L_c/mm	μ
1	40.1	265	85	4	35	0.189558
2	48.1	265	85	12	35	0.07164
3	44.1	315	85	4	35	0.209247
4	40.1	365	85	12	35	0.188561
5	48.1	365	85	8	35	0.146944
6	48.1	365	175	4	35	0.214265
7	40.1	265	265	12	35	0.186404
8	48.1	265	265	4	35	0.180986
9	40.1	365	265	4	35	0.231475
10	48.1	365	265	12	35	0.244793
11	40.1	265	85	12	55	0.172385
12	48.1	365	85	4	55	0.188328
13	44.1	265	175	4	55	0.206013
14	40.1	365	175	8	55	0.243177
15	40.1	315	265	4	55	0.199469
16	48.1	315	265	8	55	0.245310
17	40.1	265	85	8	75	0.190808
18	44.1	265	85	12	75	0.171817
19	48.1	265	85	4	75	0.161238
20	40.1	365	85	4	75	0.215495
21	48.1	365	85	12	75	0.158560
22	40.1	315	175	12	75	0.175558
23	48.1	315	175	8	75	0.235737
24	40.1	265	265	4	75	0.148970
25	48.1	265	265	12	75	0.230014
26	40.1	365	265	12	75	0.169519
27	44.1	365	265	8	75	0.261608
28	48.1	365	265	4	75	0.210122
29	48.1	365	265	12	75	0.244963
30	48.1	365	265	12	75	0.244963
31	48.1	365	265	12	75	0.244963

下载: 导出CSV

表 5 引射系数响应面模型的评价指标

Table 5. Evaluation index of response surface model of entrainment coefficient

组成项	P 值	组成项	P 值
d_k	0.0554	d_kL_s	0.6644
L_s	< 0.0001	d_kL_k	< 0.0001
L_k	< 0.0001	d_kθ_s	0.1199
θ_s	0.0208	d_kL_c	0.0001
L_c	0.8256	L_sL_k	0.8086
$d_{\rm{k}}^2 $	0.0008	L_sθ_s	0.2287
$L_{\rm{s}}^2 $	0.3913	L_sL_c	0.0128
$L_{\rm{k}}^2 $	0.0895	L_kθ_s	0.0002
$\theta_{\rm{s}}^2 $	0.0033	L_kL_c	0.0020
$L_{\rm{c}}^2 $	0.0693	θ_sL_c	0.2378

下载: 导出CSV

参考文献(13)

[1]	FU W N, LIU Z L, LI Y X, et al. Numerical study for the influences of primary steam nozzle distance and mixing chamber throat diameter on steam ejector performance[J]. International Journal of Thermal Sciences, 2018, 132: 509-516. doi: 10.1016/j.ijthermalsci.2018.06.033
[2]	SAMAKÉ O, GALANIS N, SORIN M. On the design and corresponding performance of steam jet ejectors[J]. Desalination, 2016, 381: 15-25. doi: 10.1016/j.desal.2015.11.027
[3]	CHEN W X, CHONG D T, YAN J J, et al. The numerical analysis of the effect of geometrical factors on natural gas ejector performance[J]. Applied Thermal Engineering, 2013, 59(1/2): 21-29.
[4]	BANASIAK K, PALACZ M, HAFNER A, et al. A CFD-based investigation of the energy performance of two-phase R744 ejectors to recover the expansion work in refrigeration systems: an irreversibility analysis[J]. International Journal of Refrigeration, 2014, 40: 328-337. doi: 10.1016/j.ijrefrig.2013.12.002
[5]	HAKKAKI-FARD A, AIDOUN Z, OUZZANE M. A computational methodology for ejector design and performance maximisation[J]. Energy Conversion and Management, 2015, 105: 1291-1302. doi: 10.1016/j.enconman.2015.08.070
[6]	ZHU Y H, CAI W J, WEN C Y, et al. Numerical investigation of geometry parameters for design of high performance ejectors[J]. Applied Thermal Engineering, 2009, 29(5/6): 898-905.
[7]	CHONG D T, YAN J J, WU G S, et al. Structural optimization and experimental investigation of supersonic ejectors for boosting low pressure natural gas[J]. Applied Thermal Engineering, 2009, 29(14/15): 2799-2807.
[8]	NIKIFOROW K, KOSKI P, KARIMÄKI H, et al. Designing a hydrogen gas ejector for 5 kW stationary PEMFC system-CFD-modeling and experimental validation[J]. International Journal of Hydrogen Energy, 2016, 41(33): 14952-14970. doi: 10.1016/j.ijhydene.2016.06.122
[9]	王子瑞. 基于响应面法的贯流式水轮机多目标优化设计[D]. 西安: 西安理工大学, 2012.
[10]	OMIDVAR A, GHAZIKHANI M, MODARRES RAZAVI S M R. Entropy analysis of a solar-driven variable geometry ejector using computational fluid dynamics[J]. Energy Conversion and Management, 2016, 119: 435-443. doi: 10.1016/j.enconman.2016.03.090
[11]	LI S Y, YAN J, LIU Z, et al. Optimization on crucial ejector geometries in a multi-evaporator refrigeration system for tropical region refrigerated trucks[J]. Energy, 2019, 189: 116347.1-116347.14.
[12]	BANASIAK K, HAFNER A, ANDRESEN T. Experimental and numerical investigation of the influence of the two-phase ejector geometry on the performance of the R744 heat pump[J]. International Journal of Refrigeration, 2012, 35(6): 1617-1625. doi: 10.1016/j.ijrefrig.2012.04.012
[13]	SOLMAZ H, ARDEBILI S M S, CALAM A, et al. Prediction of performance and exhaust emissions of a CI engine fueled with multi-wall carbon nanotube doped biodiesel-diesel blends using response surface method[J]. Energy, 2021, 227: 1205181.1-1205181.13.