Fast calculation of radiative heat transfer coefficient between diffuse and non-diffuse surfaces

Fubing Li; Qi You; Junmin Leng; Linhao Yang

doi:10.3788/IRLA20230611

Journals >Infrared and Laser Engineering >Volume 53 >Issue 3 >Page 20230611 > Article

Infrared and Laser Engineering
Vol. 53, Issue 3, 20230611 (2024)

Fast calculation of radiative heat transfer coefficient between diffuse and non-diffuse surfaces

Fubing Li, Qi You, Junmin Leng, and Linhao Yang

Author Affiliations

School of Information and Communication Engineering, Beijing Information Science and Technology University, Beijing 102206, China

show less

DOI: 10.3788/IRLA20230611 Cite this Article

Fubing Li, Qi You, Junmin Leng, Linhao Yang. Fast calculation of radiative heat transfer coefficient between diffuse and non-diffuse surfaces[J]. Infrared and Laser Engineering, 2024, 53(3): 20230611 Copy Citation Text

show less

Fig. 1. Monte-Carlo method for calculating radiative heat transfer coefficient

Download full size | View in the Article

Fig. 2. (a) The representation of reflected light by diffuse surface in Monte-Carlo method; (b) Fast method

Download full size | View in the Article

Fig. 3. Fast calculation method for calculating the radiative heat transfer coefficient of non-diffuse surface element i

Download full size | View in the Article

Fig. 4. (a) Illustration of 3D geometry model and its surface ID; (b) Illustration of random positions and direction vectors for emitted rays

Download full size | View in the Article

Fig. 5. Fast calculation of radiative heat transfer coefficient for model with diffuse and specular surfaces

Download full size | View in the Article

Fig. 6. (a) Comparison of computational time between Monte-Carlo method and Fast method when the inner surface reflectivity of the cube is ρ=0.4; (b) ρ=0.8

Download full size | View in the Article

Fig. 7. L-shape unenclosed cavity model

Download full size | View in the Article

Fig. 8. (a) Comparison of computational time between Monte-Carlo method and Fast method when the inner surface reflectivity of the L-shape cavity is ρ=0.4; (b) ρ=0.8

Download full size | View in the Article

Fig. 9. Illustration of the average number of ray-tracing times

Download full size | View in the Article

Facet	1(AA'B'B)	2(BB'C'C)	3(CC'D'D)	4(DD'A'A)	5(A'B'C'D')	6(ABCD)	Integrality
1	0.05897	0.17917	0.21741	0.18131	0.18132	0.18116	0.99934
2	0.17956	0.05924	0.18051	0.21850	0.18032	0.18122	0.99934
3	0.21776	0.18120	0.04888	0.18594	0.18307	0.18249	0.99934
4	0.18201	0.21647	0.18750	0.04936	0.18190	0.18212	0.99934
5	0.17921	0.17974	0.18220	0.18333	0.07049	0.20437	0.99934
6	0.17872	0.17926	0.18274	0.18213	0.20545	0.07105	0.99934

Table 1. Radiative heat transfer coefficient for the inner surfaces of the cube (Monte-Carlo method)

View in the Article

Facet	1(AA'B'B)	2(BB'C'C)	3(CC'D'D)	4(DD'A'A)	5(A'B'C'D')	6(ABCD)	Integrality	MAE
1	0.05937	0.18057	0.21859	0.18222	0.17886	0.17975	0.99934	1.29227‰
2	0.18068	0.05972	0.18135	0.21884	0.17903	0.17972	0.99934	0.93054‰
3	0.22136	0.18010	0.04669	0.18631	0.18214	0.18324	0.99985	1.48970‰
4	0.18218	0.22024	0.18636	0.04688	0.18098	0.18323	0.99985	1.59877‰
5	0.17933	0.18143	0.18179	0.18329	0.06566	0.20834	0.99985	1.84531‰
6	0.18179	0.18012	0.18301	0.18145	0.20777	0.06570	0.99985	2.09184‰

Table 2. Radiative heat transfer coefficient for the inner surfaces of the cube (Fast method)

View in the Article

Facet	ρ=0.4		ρ=0.8
Facet	MAE	Integrality	MAE	Integrality
1	1.11640‰	0.98594	0.61132‰	0.85933
2	1.29494‰	0.94656	2.29617‰	0.77797
3	0.55498‰	0.79605	1.91049‰	0.64609
4	1.19067‰	0.79290	1.34883‰	0.64261
5	6.59430‰	0.97410	4.82850‰	0.80405
6	0.98649‰	0.98910	0.64184‰	0.85692
7	0.64990‰	0.93160	0.56992‰	0.76133
8	1.33612‰	0.65359	1.32864‰	0.41103
9	5.29473‰	0.94401	5.60488‰	0.77703
10	1.45282‰	0.79286	1.44651‰	0.65081
11	1.03800‰	0.79272	1.53688‰	0.64366
12	2.62882‰	0.94494	3.66704‰	0.77457
13	5.80383‰	0.98413	4.92681‰	0.84846

Table 3. MAE and integrality of radiative heat transfer coefficient for L-shape cavity model (Fast method)

View in the Article

ρ	C_d
ρ	1/6	2/6	3/6	4/6	5/6
0.1	0.813	0.653	0.520	0.413	0.333
0.2	0.672	0.461	0.330	0.250	0.200
0.3	0.615	0.397	0.277	0.208	0.167
0.4	0.520	0.307	0.208	0.156	0.125
0.5	0.446	0.248	0.167	0.125	0.100
0.6	0.341	0.178	0.119	0.089	0.071
0.7	0.247	0.125	0.083	0.063	0.050
0.8	0.161	0.081	0.054	0.040	0.032
0.9	0.076	0.038	0.025	0.019	0.015

Table 4. Ratio of average-tracking-times for a single ray emitted from the non-diffuse surface calculated with Fast method compared to Monte-Carlo method

View in the Article

ρ	C_d
ρ	1/6	2/6	3/6	4/6	5/6
0.1	0.844	0.769	0.760	0.804	0.889
0.2	0.727	0.641	0.665	0.750	0.867
0.3	0.679	0.598	0.638	0.736	0.861
0.4	0.600	0.538	0.604	0.719	0.854
0.5	0.539	0.499	0.583	0.708	0.850
0.6	0.451	0.452	0.560	0.696	0.845
0.7	0.373	0.417	0.542	0.688	0.842
0.8	0.301	0.387	0.527	0.680	0.839
0.9	0.230	0.359	0.513	0.673	0.836

Table 5. Ratio of consumed time for all the surfaces using Fast method compared with Monte-Carlo method

View in the Article

C_d	1/6	2/6	3/6	4/6	5/6
Theoretical	0.301	0.387	0.527	0.680	0.839
Measured	0.331	0.384	0.524	0.695	0.846

Table 6. Theoretical and measured values of the computation time ratio between Fast method and Monte-Carlo method when ρ=0.8

Fubing Li, Qi You, Junmin Leng, Linhao Yang. Fast calculation of radiative heat transfer coefficient between diffuse and non-diffuse surfaces[J]. Infrared and Laser Engineering, 2024, 53(3): 20230611

Download Citation

Tools

Save the article for my favorites

Paper Information

微信扫一扫：分享

微信扫一扫：分享