Thermophysical properties mapping in semi-infinite longitudinally cracked plates by temperature image processing

Figures & data

Figure 1. Scheme of the experimental device.

Figure 2. Spatially random-printed semitransparent film.

Figure 3. Scheme of the heat conduction problem.

Table 1. Data used for the numerical examples

Parameters	Values
Δx	0.05 m
Δt	0.04 s
Number of time steps (nt)	100
Number of space steps (N)	100
a	1 × 10^−4 m^2 s^−1
acracks	1 × 10^−5 m^2 s^−1
σT	0.0001 K

Figure 4. Heat pulse temperature field response for an homogeneous medium heated locally.

Figure 5. Recovered thermal diffusivity field in an homogeneous medium heated locally.

Figure 6. Recovered thermal diffusivity field in an homogeneous medium heated locally, estimated with the reduced model.

Figure 7. Temperature field for an heterogeneous medium with spatial random heating.

Figure 8. Recovered thermal diffusivity field in an heterogeneous medium with random heating; σ_T = 0.01 K.

Figure 9. Recovered thermal diffusivity field in an heterogeneous medium with random heating, estimated with the reduced model; σ_T = 0.01 K.