Uniform Temperature and Low Stress Design of Alumina Samples Heated by High Power CO<sub>2</sub> Laser

Guanglu Zhang; Wentao Zhang; Yiqiang Sun; Qirui Wang; Zhipeng Wang; Zhihong He; Shikui Dong

doi:10.3788/AOS241938

Acta Optica Sinica, Volume. 45, Issue 11, 1122001(2025)

Uniform Temperature and Low Stress Design of Alumina Samples Heated by High Power CO₂ Laser

Guanglu Zhang¹, Wentao Zhang¹, Yiqiang Sun¹, Qirui Wang¹, Zhipeng Wang¹, Zhihong He², and Shikui Dong^1,2、*

Author Affiliations

¹School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, Heilongjiang , China

²Key Laboratory of Aerospace Thermophysics of Ministry of Industry and Information Technology, Harbin Institute of Technology, Harbin 150001, Heilongjiang , China

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Figures & Tables(23)

Fig. 1. Multi-physics coupling model in radiation-heat-mechanics

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Fig. 2. Alumina absorption coefficient at high temperature (1773 K)

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Fig. 3. Alumina ray penetration indexes at high temperature （1773 K）

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Fig. 4. Alumina sample heated by laser

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Fig. 5. Schematic diagram of coupled radiation and conduction heat transfer in semitransparent media during laser incident

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Fig. 6. Comparisons for results of examples with Ref. [17]. (a) Example 1; (b) example 2

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Fig. 7. High power laser heating system

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Fig. 8. Cloud images of temperature distribution of alumina sample. (a)(d) 5 s; (b)(e) 15 s; (c)(f) 25 s

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Fig. 9. Axial and radial dimensionless temperature difference of alumina sample. (a)(d) 5 s; (b)(e) 15 s; (c)(f) 25 s

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Fig. 10. Maximum temperature difference in sample varies with temperature. (a) Axial maximum temperature difference; (b) radial maximum temperature difference

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Fig. 11. Normal spectral emissivity of alumina at high temperature (2056 K)

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Fig. 12. Radiation energy distribution of sample surface in hemispherical space

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Fig. 13. Cloud images of thermal stress distribution of alumina sample. (a)(d) 5 s; (b)(e) 15 s; (c)(f) 25 s

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Fig. 14. Changes of maximum thermal stress in alumina sample with time

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Fig. 15. Effects of laser increase rates on temperature

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Fig. 16. Temperature characteristic curve

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Fig. 17. Variations of maximum thermal stress with thermal stress loading coefficient under different laser power densities

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Fig. 18. Thermal stress characteristic line

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Table 1. Physical property parameters of alumina^[14]

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Table 1. Physical property parameters of alumina^[14]

Parameter	Value
Sample radius $r_{s}$ /mm	4.0
Sample thickness l /mm	2.0
Density $ρ$ /（kg·m^-3）	3720
Specific heat capacity $c$ /（J·kg^-1·K^-1）	880
Heat conductivity coefficient $k$ /（W·m^-1·K^-1）	25
Convective heat transfer coefficient h /（W·m^-1·K^-1）	10
Surface emissivity $ε$	0.7

Table 2. Parameters setting of examples^[17]
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Table 2. Parameters setting of examples^[17]
Example $q_{l a s e r} / (k W m^{- 2})$ T₀ /K $k$ /(W·m^-1·K^-1) $h$ /(W·m^-2·K^-1) $ρ c_{p}$ /(J·m^-3·K^-1) $κ_{a}$ /(m^-1)
2 300 800 1 5 $2.2 \times 10^{6}$ Shown in Table 3
1
1 50 291 0.2 16 $2.2 \times 10^{6}$ 30
$\infty$

Table 3. Optical properties of example 2 medium^[17]
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Table 3. Optical properties of example 2 medium^[17]
Wavelength / $μ m$ $κ_{a}$ /m^-1
0.5‒1.0 10
1.0‒2.7 100
2.7‒4.3 1000
4.3‒10.3 10000
10.3‒50.0 10000

Table 4. Spectral absorption coefficients of alumina
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Table 4. Spectral absorption coefficients of alumina
Wavelength / $μ m$ $κ_{a}$ /m^-1
0‒0.5 3
0.5‒1.0 3
1.0‒3.9 1.8
3.9‒5.0 400
>5.0 10000

Table 5. Spectral emissivity of alumina
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Table 5. Spectral emissivity of alumina
Wavelength / $μ m$ $ε$
0‒3.6 0.03
3.6‒5.6 0.48
5.6‒11.0 0.98
11.0‒12.4 0.76
12.4‒19.5 0.41
19.5‒25.0 0.60

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Guanglu Zhang, Wentao Zhang, Yiqiang Sun, Qirui Wang, Zhipeng Wang, Zhihong He, Shikui Dong. Uniform Temperature and Low Stress Design of Alumina Samples Heated by High Power CO₂ Laser[J]. Acta Optica Sinica, 2025, 45(11): 1122001

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