Test of Thermo-Physical Property Parameters of Solid Material Based on Laser Point Heat Source Unsteady-State Heat Transfer Model

doi:10.16183/j.cnki.jsjtu.2020.99.013

Abstract

Abstract:

Based on the laser point heat source unsteady state transfer model, a novel method to gain thermo-physical parameters of isotropic solid materials is proposed. The enantiomorphous heat-source theory is introduced to calibrate the influence of adiabatic boundary on temperature rise of the measuring points, and a mathematical model is established. The thermal conductivity and thermal diffusivity of the material are calculated by numerical solution combined with computer programming, and a thermo-physical testing system is developed. The low vacuum environment in the sample container is obtained by using a vacuum pump. The laser generator emits a laser beam to heat a corner of the sample, and the variation of temperature on the upper surface of the sample measured by the temperature sensor is monitored by the wireless signal transmitting unit. The thermophysical properties of borosilicate glass (Pyrex7740), marble, diatomite firebrick, silica brick, and zirconium brick are comprehensively tested. The results show that the relative deviation between the test values of the first four samples with a relatively low thermal conductivity and the reference value is not more than 2.76%, and the test accuracy is higher. The relative deviation between the test values of the zirconium brick with a relatively large thermal conductivity and the reference value reaches 6.38%, and the test accuracy is lower. Uncertainty analysis of the test system shows that as the thermal conductivity of the tested sample increases, the credibility between the test value and the true value decreases, indicating that the device is more suitable for solid materials with a thermal conductivity less than 3.0W/(m·K).

Key words: laser point source, non-steady state heat transfer model, enantiomorphism heat-source theory, solid material, thermo-physical property

CLC Number:

TD752.1

CHEN Qinghua, GAO Wei, SU Guoyong, GUAN Weijuan, QIN Ruxiang, JI Jiadong, MA Yangbin. Test of Thermo-Physical Property Parameters of Solid Material Based on Laser Point Heat Source Unsteady-State Heat Transfer Model[J]. Journal of Shanghai Jiao Tong University, 2021, 55(4): 471-479.

Figures/Tables 14

Fig.1

Fig.2

Fig.3

Fig.4

Fig.5

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Fig.7

Tab.1

Tab.2

Tab.3

Tab.4

Repeatability experiment of marble and glass thermo-physical parameters

次数	α×10⁷/(m²·s^-1)		$α -$		u(α)
次数	大理石	玻璃	大理石	玻璃	大理石	玻璃
1	12.06	6.37	11.68	6.485	0.1215	0.0486
2	11.73	6.67
3	11.33	6.37
4	11.73	6.58
5	11.33	6.46
6	11.90	6.46

Tab.4

Tab.5

Tab.6

Tab.7

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τ/s	θ(τ)/ ℃	α×10⁷/ (m²·s^-1)	λ/ (W·m^-1·K^-1)	Δλ_d/ %	c/(J· kg^-1·K^-1)
30	1.5	6.51	1.132	—	772.83
32	1.6	6.21	1.097	1.57	785.11
34	1.7	5.96	1.071	1.20	798.66
36	2.0	6.23	1.089	0.83	776.89
38	2.2	6.37	1.123	1.54	783.53
40	2.5	6.76	1.169	2.01	768.57
42	2.6	6.64	1.175	0.26	786.48
44	2.7	6.39	1.144	1.34	795.69
46	2.8	5.97	1.067	3.48	794.34
48	2.9	5.90	1.076	0.42	810.55
50	3.0	5.66	1.039	1.75	815.86
52	3.2	5.78	1.058	0.91	813.53
54	3.3	5.71	1.061	0.14	825.84
56	3.6	5.95	1.072	0.52	800.75
58	3.8	6.26	1.125	2.41	798.72

材料	λ/(W·m^-1·K^-1)				Δλ_d/ %
材料	测试结果			平均值	Δλ_d/ %
大理石	2.748	2.742	2.751	2.747	0.18
硅砖	1.083	1.045	1.113	1.080	3.24
硅藻土耐火砖	0.229	0.226	0.221	0.225	1.78
锆质砖	6.775	6.996	6.336	6.702	5.46

材料	α×10⁷/ (m²·s^-1)	λ/(W·m^-1·K^-1)		Δd/ %	c/(J· kg^-1·K^-1)
材料	α×10⁷/ (m²·s^-1)	测试结果	文献 [17-19]	Δd/ %	c/(J· kg^-1·K^-1)
大理石	12.03	2.747	2.700	1.74	871.40
硅砖	6.51	1.080	1.051	2.76	976.58
硅藻土耐火砖	4.68	0.225	0.227	0.88	694.41
锆质砖	2.77	6.702	6.300	6.38	659.77

误差来源	Δ/mm
主尺刻度误差	0.010
游标刻度误差	0.010
刻线宽度误差	0.010
视差	0.036
主尺基准面平面度误差	0.003
测量面平面度误差	0.006
测量面平行度误差	0.006
零位调整误差	0.005
游标卡尺示值总差	0.0413

序号	不确定度来源	u_i(λ)	u_c(λ)/%	U/%
1	时间	6.24×10^-4
2	试样温度	6.59×10^-2
3	试样尺寸	1.05×10^-4	8.48	16.96
4	热源功率	6.77×10^-3
5	试样热扩散率	5.19×10^-2