A dynamic thermal identification method applied to condutor ... - IEM

More documents

Recommendations

Info

516 V. L. Borges et al.φ 1 (t)T 1 (t)φ 1 (t)T 2 (t)T 1 (t)T(x,y,z,t)y(a)T 2 (t)(b)zxThermocoupleElectrical resistance and heat transducerFigure 3. Experimental scheme for models (a) 1D and (b) 3D.(a)656055504540Temperature [°C]T1T2353025200 100 200 300Time (s)(b) 4038Temperature [°C]353330T128T22523200 200 400 600Time (s)Figure 4. Temperature evolution, T, for AISI304 sample (a) 1D model and (b) 3D model.(0.3 K) (figure 4a), the three-dimensional model produces a sufficient gradient toproperties estimation (figure 4b). Figure 5 presents the difference between the twotemperatures involved in each model as shown in figure 3.This fact can be better analyzed through a sensitivity analysis. Small and/orinaccurate values of temperature difference and heat flux signals produce lineardependence or low values. The linear dependence of two or more coefficients indicatesthat the parameters cannot simultaneously be estimated. Low values indicate thatthe estimation is strongly sensitive to the measurements uncertainty [6]. The sensitivity
(a) 0.5∆θ (°C)0.40.30.20.10.00 100 200 300Time (s)Figure 5.A dynamic thermal identification method 517(b)∆θ (°C)98765432100 200 400 600Time (s)Temperature difference, for AISI304 sample: (a) 1D model, and (b) 3D model.0.250.200.15Sensitivity coefficient0.100.050.00−0.05−0.10−0.15−0.20S T,aS T,l−0.250 10 20 30 40 50 60Time (s)Figure 6. Sensitivity coefficients for the 3D model to AISI304 sample.coefficients involved in this technique are defined as follows and presented infigures 6 and 7.S T, ¼ @TT @ ,S jHj, ¼ @ jHjjHj@S T, ¼ @TT @ , S ’, ¼ @’’ @ , S ’, ¼ @’’ @ ,and S jHj, ¼ jHj@ jHj@ð14Þ
Page 1: Inverse Problems in Science and Eng
Page 4 and 5: 514 V. L. Borges et al.model can be
Page 8 and 9: 518 V. L. Borges et al.(a)Sensitivi
Page 10 and 11: 520 V. L. Borges et al.and modulus
Page 12 and 13: 522 V. L. Borges et al.Table 1. Sta
Page 14 and 15: 524 V. L. Borges et al.Table 5. Sta
Page 16 and 17: 526 V. L. Borges et al.Table 7.Summ

A dynamic thermal identification method applied to condutor ... - IEM

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?