Application of the inverse analysis for boundary condition retrieval

Figures & data

Figure 1. Temperature history of a selected point. Definition of the activation time and temperature.

Figure 2. The geometry of the model (dimensions in mm).

Figure 3. Test rig scheme.

Figure 4. Acquired picture of the TLC after 8.4s (left) and the distribution of the time to arrival during the entire experiment.

Figure 5. Trial function and numerical mesh.

Figure 6. Trial functions sets: Con (left) and Lin (right).

Figure 7. Numerical mesh used for retrieval procedure (left) and simulation (right).

Figure 8. Influence of number of sensors on the retrieved HTC. Simulated experiment.

Figure 9. Influence of number of functions on the retrieved HTC. Simulated experiment.

Figure 10. Retrieved heat flux. Simulated experiment.

Figure 11. Retrieved HTC. Simulated experiment.

Table 1. Influence of measurement errors on retrieved flux and HTC. Simulated experiment.

	Zone	Heat flux (kW m^−2)				HTC (W m^−2K^−1
		0s	0.5s	1s	2s	0s	0.5s	1s	2 s
Con	Central	166.2	161.3	157.5	173.7	454.94	442.7	461.02	467.48
Intermediate	38.8	39.3	39.9	37.4	89.27	93.81	86.45	85.11
Outer	9.1	9.2	9.1	9.0	44.2	44.24	44.62	44.05
Lin	Central	93.3	90.0	91.7	89.8	810.46	836.35	774.56	832.25
Intermediate	18.1	19.3	18.6	19.2	190.42	185.86	195.59	186.25
Outer	9.1	9.1	9.1	8.9	44.51	44.86	44.81	44.71

Figure 12. Retrieved HTC, experiment M2.

Figure 13. Retrieved HTC, experiment M7.

Figure 14. Retrieved HTC, experiment M4.

Figure 15. Temperature error for Con trial functions, experiment M2.

Figure 16. Temperature error for Lin trial functions, experiment M2.

Figure 17. Temperature error for Con trial functions, experiment M7.

Figure 18. Temperature error for Lin trial functions, experiment M7.

Figure 19. Temperature error for Con trial functions, experiment M4.

Figure 20. Temperature error for Lin trial functions, experiment M4.

Figure 21. Comparison of the HTC values for Con trial functions.

Figure 22. Comparison of HTC values for Lin trial functions.