大温度梯度下含锆型硅酸铝纤维板的透波性能

doi:10.16085/j.issn.1000-6613.2022-0928

化工进展 ›› 2023, Vol. 42 ›› Issue (3): 1551-1561.DOI: 10.16085/j.issn.1000-6613.2022-0928

大温度梯度下含锆型硅酸铝纤维板的透波性能

尚小标¹^,²^,³(), 李广超¹, 肖利平¹, 白永珍¹, 肖人友¹, 李佳剑¹, 张志浩¹

^1.昆明理工大学机电工程学院，云南昆明 650500
^2.非常规冶金教育部重点实验室，云南昆明 650093
^3.微波能工程应用及装备技术国家地方联合工程实验室，云南昆明 650093

收稿日期:2022-05-19 修回日期:2022-08-13 出版日期:2023-03-15 发布日期:2023-04-10
通讯作者: 尚小标
作者简介:尚小标（1987—），男，博士，讲师，硕士生导师，研究方向为微波冶金技术。E-mail：shang21st@163.com。
基金资助:
国家自然科学基金(51864030);云南省科技厅重点项目(202101AS070023)

Wave transmission performance of zirconium aluminum silicate fiberboard under large temperature gradient

SHANG Xiaobiao¹^,²^,³(), LI Guangchao¹, XIAO Liping¹, BAI Yongzhen¹, XIAO Renyou¹, LI Jiajian¹, ZHANG Zhihao¹

^1.Faculty of Mechanical and Electrical Engineering, Kunming University of Science and Technology, Kunming 650500, Yunnan, China
^2.Key Laboratory of Unconventional Metallurgy of Ministry of Education, Kunming 650093, Yunnan, China
^3.National Local Joint Laboratory of Engineering Application of Microwave Energy and Equipment Technology, Kunming 650093, Yunnan, China

Received:2022-05-19 Revised:2022-08-13 Online:2023-03-15 Published:2023-04-10
Contact: SHANG Xiaobiao

摘要/Abstract

摘要：

为探究微波冶金反应器内常用隔热保温材料——含锆型硅酸铝纤维板（ZAF）在温度梯度下的透波性能，首先采用谐振腔微扰法测量了ZAF在25～1000℃范围内的复介电常数；其次采用激光闪射法测量了ZAF在100～500℃范围内的热导率；最后基于电磁波传输线理论和传热理论研究了ZAF在频率、极化模式、入射角度及材料厚度等因素影响下的透波性能。结果表明：ZAF的介电常数随温度的增加整体变化幅度较小，介电损耗因子则在900℃之后呈指数型增大；ZAF的热导率随温度的增大而逐渐增加，其上升幅度约为39.65%；在2450MHz频率下，ZAF的功率透过系数大于0.9的比例要高于915MHz频率，且在相同频率下，水平极化模式（TM）的透波性能优于垂直极化模式（TE）；随着ZAF厚度的增加，其功率透过系数曲线出现了多个透波峰，且2450MHz频率下的透波峰数量多于915MHz频率；在TE极化模式下，微波以0°～30°入射时材料具有良好的透波性能，在TM极化模式下，微波以0°～60°入射时材料具有较高的透波性能，并且存在能使微波发生全透射的布儒斯特角。

关键词: 含锆型硅酸铝纤维板, 温度梯度, 介电特性, 透波性能

Abstract:

In order to investigate the wave transmission performance of zirconium aluminum silicate fiberboard (ZAF), a commonly used thermal insulation material in microwave metallurgical reactor under temperature gradient, the complex permittivity of ZAF at 25—1000℃ was measured by cavity perturbation method. Secondly, the thermal conductivity of ZAF in the range of 100—500℃ was measured by laser flash method. Finally, based on the electromagnetic transmission line theory and heat transfer theory, the wave transmission performance of ZAF under the influence of frequency, polarization mode, incident angle and material thickness were studied. The results showed that the dielectric constant of ZAF changed slightly with rising temperature and the dielectric loss factor increased exponentially after 900℃. The thermal conductivity of ZAF increased with the increase of temperature, and the increase rate was about 39.65%. At 2450MHz, the fraction of the ZAF greater than 0.9 power transmission coefficient was higher than at 915MHz, and at the same frequency, the wave transmission performance of the transverse magnetic polarization mode (TM) was superior to the transverse electric polarization mode (TE). Multiple transmission peaks developed in the power transmission coefficient curve as ZAF thickness increased, and there were more wave transmission peaks at 2450MHz frequency than at 915MHz frequency. When the microwave incidence angle was between 0°—30° in the TE polarization mode, the material exhibited good wave transmission performance. When the microwave incident angle was between 0°—60° in the TM polarization mode, the material exhibited good wave transmission performance, and there was a Brewster’s angle where the microwave can transmit entirely. For the study of wave transmission performance of thermal insulation materials under temperature gradient, this study offered a crucial reference value.

Key words: zirconium aluminum silicate fiberboard, temperature gradient, dielectric properties, wave transmission performance

中图分类号:

尚小标, 李广超, 肖利平, 白永珍, 肖人友, 李佳剑, 张志浩. 大温度梯度下含锆型硅酸铝纤维板的透波性能[J]. 化工进展, 2023, 42(3): 1551-1561.

SHANG Xiaobiao, LI Guangchao, XIAO Liping, BAI Yongzhen, XIAO Renyou, LI Jiajian, ZHANG Zhihao. Wave transmission performance of zirconium aluminum silicate fiberboard under large temperature gradient[J]. Chemical Industry and Engineering Progress, 2023, 42(3): 1551-1561.

图/表 16

表1 ZAF的化学组成

密度/kg·m^-3	化学组成（质量分数）/%
密度/kg·m^-3	Al₂O₃	SiO₂	ZrO₂	其他
320	39~40	44~45	15~17	<1

图1 介电参数测量装置结构1—绝缘基座；2—感应线圈；3—待测样品；4—隔热砖套筒；5—石墨套管；6—热电偶；7—开关

图2 热导率测量装置结构

图3 两种极化方式下电磁波传播

图4 一维稳态导热条件下炉衬材料的模型

图5 ZAF的介电参数随温度的变化曲线

表2 915MHz和2450MHz频率下ZAF介电常数和介电损耗因子的拟合关系式

频率/MHz	拟合方程	R²
915	ε′=2.12899×10^-10T³-2.00011×10^-7T²+1.67617×10^-4T+1.96455	0.9996
915	ε″=1.84658×10^-13T⁴-3.0478×10^-10T³+1.62734×10^-7T²-2.66934×10^-5T+0.00267	0.9954
2450	ε′=3.71399×10^-13T⁴-3.78336×10^-10T³+5.49667×10^-9T²+1.84232×10^-4T+1.39052	0.9680
2450	ε″=5.38354×10^-14T⁴-7.45821×10^-11T³+3.01989×10^-8T²-3.37436×10^-6T+0.00229	0.9939

图6 ZAF的热导率随温度变化曲线

图7 ZAF内部温度随厚度的分布

图8 不同分层数下T 2随厚度变化曲线

图9 温度梯度条件下不同频率和极化模式的T 2变化曲线

图10 微波在ZAF内λd和Dp随温度的变化曲线

图11 温度梯度条件下两种频率的布儒斯特角θB范围

图12 温度梯度和均匀温度下T 2和R2随厚度的变化曲线

表3 温度梯度条件下ZAF的优选厚度值

频率/MHz	峰	值/m
915	1	0
	2	0.1157
2450	1	0
	2	0.0503
	3	0.1019
	4	0.1534
	5	0.2048

图13 温度梯度条件下T 2和R2随入射角度的变化曲线

参考文献 26

1	ZHANG Yaning, KE Cunfeng, FU Wenming, et al. Simulation of microwave-assisted gasification of biomass: a review[J]. Renewable Energy, 2020, 154: 488-496.
2	邵珠山, 魏玮, 陈文文, 等. 微波加热岩石与混凝土的研究进展与工程应用[J]. 工程力学, 2020, 37(5): 140-155.
	SHAO Zhushan, WEI Wei, CHEN Wenwen, et al. Research progress and industrial applications of microwave heating processing on rock and concrete[J]. Engineering Mechanics, 2020, 37(5): 140-155.
3	WEI Wei, SHAO Zhushan, QIAO Rujia, et al. Recent development of microwave applications for concrete treatment[J]. Construction and Building Materials, 2021, 269: 121224.
4	TAO Yuan, YAN Bowen, FAN Daming, et al. Structural changes of starch subjected to microwave heating: a review from the perspective of dielectric properties[J]. Trends in Food Science & Technology, 2020, 99: 593-607.
5	ZAKER A, CHEN Z, WANG X L, et al. Microwave-assisted pyrolysis of sewage sludge: a review[J]. Fuel Processing Technology, 2019, 187: 84-104.
6	GULISANO F, GALLEGO J. Microwave heating of asphalt paving materials: principles, current status and next steps[J]. Construction and Building Materials, 2021, 278: 121993.
7	刘慧. 陶瓷纤维用于实验电炉的保温研究[D]. 济南: 济南大学, 2015.
	LIU Hui. Study on the thermal insulation of ceramic fibers used in experimental furnace[D]. Jinan: University of Jinan, 2015.
8	白永珍, 尚小标, 刘美红, 等. 微波加热用透波材料的研究进展[J]. 化工进展, 2022, 41(1): 253-263.
	BAI Yongzhen, SHANG Xiaobiao, LIU Meihong, et al. Research progress of wave-transmitting materials for microwave heating[J]. Chemical Industry and Engineering Progress, 2022, 41(1): 253-263.
9	SHANG Xiaobiao, ZHAI Di, LIU Meihong, et al. Dielectric properties and electromagnetic wave transmission performance of aluminium silicate fibreboard at 915MHz and 2450MHz[J]. Ceramics International, 2021, 47(6): 7539-7557.
10	肖利平, 尚小标, 刘美红, 等. 高铝型硅酸铝纤维板介电特性和透波性能[J]. 硅酸盐学报, 2021, 49(12): 2621-2628.
	XIAO Liping, SHANG Xiaobiao, LIU Meihong, et al. Dielectric properties and electromagnetic wave transmission performance of high-Al aluminum silicate fiberboard[J]. Journal of the Chinese Ceramic Society, 2021, 49(12): 2621-2628.
11	ZHAI Di, ZHANG Fucheng, WEI Cong, et al. Dielectric properties and electromagnetic wave transmission performance of polycrystalline mullite fiberboard at 2.45 GHz[J]. Ceramics International, 2020, 46(6): 7362-7373.
12	崔之开. 陶瓷纤维[M]. 北京: 化学工业出版社, 2004.
	CUI Zhikai. Ceramic fiber[M]. Beijing: Chemical Industry Press, 2004.
13	许磊. 微波加热金属铜粉及熔渗烧结钨铜复合材料特性研究[D]. 昆明: 昆明理工大学, 2016.
	XU Lei. Study on the characteristics of microwave heating metal copper powder and infiltration sintering tungsten copper composites[D]. Kunming: Kunming University of Science and Technology, 2016.
14	YAHALOM A, PINHASI Y, SHIFMAN E, et al. Transmission through single and multiple layers in the 3~10 GHz band and the implications for communications of frequency varying material dielectric constants[J]. WSEAS Transactions on Communications, 2010, 9(12): 759-772.
15	LOWE M J S. Matrix techniques for modeling ultrasonic waves in multilayered media[J]. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 1995, 42(4): 525-542.
16	SHANG Xiaobiao, ZHAI Di, ZHANG Fucheng, et al. Electromagnetic waves transmission performance of alumina refractory ceramics in 2.45 GHz microwave heating[J]. Ceramics International, 2019, 45(17): 23493-23500.
17	倪锋, 何煜民, 魏世忠, 等. 基于一维稳态传热的纯金属热型连铸模型化分析[J]. 铸造设备与工艺, 2009(5): 32-37.
	NI Feng, HE Yumin, WEI Shizhong, et al. Modeling analysis of pure metal continuous casting with heated mould based on one-dimensional steady-state heat-transfer[J]. Foundry Equipment and Technology, 2009(5): 32-37.
18	MENG B, PENG J H, LIU Y H, et al. Preparation and its properties of cordierite-mullite refractory material used in microwave metallurgy[J]. Material Science and Technology, 2011, 19(3): 32-36.
19	YOSHIKAWA N, KAWAHIRA K, SAITO Y, et al. Estimation of microwave penetration distance and complex permittivity of graphite by measurement of permittivity and direct current conductivity of graphite powder mixtures[J]. Journal of Applied Physics, 2015, 117(8): 084105.
20	罗庆. 传热学[M]. 2版. 重庆: 重庆大学出版社, 2019.
	LUO Qing. Heat transfer[M]. 2nded. Chongqing: Chongqing University Press, 2019.
21	王宁. 连续式石墨化炉动态电热耦合的数值模拟与优化研究[D]. 沈阳: 东北大学, 2017.
	WANG Ning. Numerical simulation and optimization of dynamic electrothermal coupling of continuous graphitization furnace[D]. Shenyang: Northeastern University, 2017.
22	李广超, 尚小标, 张富程, 等. 微波干燥玉米淀粉的动态吸波性能分析[J]. 化学工程, 2021, 49(10): 48-53.
	LI Guangchao, SHANG Xiaobiao, ZHANG Fucheng, et al. Analysis of dynamic microwave absorption properties of microwave drying corn starch[J]. Chemical Engineering (China), 2021, 49(10): 48-53.
23	OMRAN M, FABRITIUS T, CHEN Guo, et al. Microwave absorption properties of steelmaking dusts: Effects of temperature on the dielectric constant (ε') and loss factor (ε'') at 1064MHz and 2423MHz[J]. RSC Advances, 2019, 9(12): 6859-6870.
24	SHANG Xiaobiao, ZHANG Fucheng, ZHAI Di, et al. Microwave transmission performance of mullite refractory ceramics over wide temperature range at 915MHz and 2450MHz[J]. Materials Chemistry and Physics, 2021, 258: 123898.
25	TAKANO K, TANAKA Y, MORENO G, et al. Energy loss of terahertz electromagnetic waves by nano-sized connections in near-self-complementary metallic checkerboard patterns[J]. Journal of Applied Physics, 2017, 122(6): 063101.
26	魏聪, 尚小标, 张富程, 等. 微波化学反应用聚四氟乙烯容器的透波性能[J]. 化工进展, 2021, 40(7): 3862-3869.
	WEI Cong, SHANG Xiaobiao, ZHANG Fucheng, et al. Transmission properties of polytetrafluoroethylene container for microwave chemical reaction[J]. Chemical Industry and Engineering Progress, 2021, 40(7): 3862-3869.

大温度梯度下含锆型硅酸铝纤维板的透波性能

Wave transmission performance of zirconium aluminum silicate fiberboard under large temperature gradient

RichHTML

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

图/表 16

参考文献 26

相关文章 1

编辑推荐

Metrics

本文评价