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Original Articles

Estimation of local nucleate boiling heat flux using a three-dimensional transient heat conduction model

, , , &
Pages 279-294 | Received 31 Oct 2008, Accepted 17 Aug 2009, Published online: 26 Feb 2010

Figures & data

Figure 1. A single-bubble nucleate boiling experiment.

Figure 1. A single-bubble nucleate boiling experiment.

Figure 2. Schematic representation of the 3D heating foil.

Figure 2. Schematic representation of the 3D heating foil.

Figure 3. The exact heat flux at different time instants.

Figure 3. The exact heat flux at different time instants.

Figure 4. The simulated temperature measurements at time instant t = 0.025 s for noise levels σ = 0, σ = 0.05, σ = 0.1 and σ = 0.2, respectively.

Figure 4. The simulated temperature measurements at time instant t = 0.025 s for noise levels σ = 0, σ = 0.05, σ = 0.1 and σ = 0.2, respectively.

Figure 5. (a) Convergence behaviour for noise-free data, (b) exact surface heat flux at time instant t = 0.025 s and (c) estimated surface heat flux at time instant t = 0.025 s after 150 iterations.

Figure 5. (a) Convergence behaviour for noise-free data, (b) exact surface heat flux at time instant t = 0.025 s and (c) estimated surface heat flux at time instant t = 0.025 s after 150 iterations.

Figure 6. Temporal evolution of optimal- and over-estimated heat fluxes along the 2D line (y = 0.5 mm) at ΓB for measurement data with different levels of noise.

Figure 6. Temporal evolution of optimal- and over-estimated heat fluxes along the 2D line (y = 0.5 mm) at ΓB for measurement data with different levels of noise.

Figure 7. L-curves for estimation with perturbed measurements with error level σ = 0.05, σ = 0.1 and σ = 0.2, respectively.

Figure 7. L-curves for estimation with perturbed measurements with error level σ = 0.05, σ = 0.1 and σ = 0.2, respectively.

Figure 8. A comparison of the estimation results using discrepancy principle and L-curve criterion as stopping rules.

Figure 8. A comparison of the estimation results using discrepancy principle and L-curve criterion as stopping rules.

Figure 9. (a) 3D view of the foil heater. (b) Cross-sectional view of the foil heater (adapted from Citation7).

Figure 9. (a) 3D view of the foil heater. (b) Cross-sectional view of the foil heater (adapted from Citation7).

Figure 10. Nucleation site produced by laser beam at IMM (adapted from Citation7).

Figure 10. Nucleation site produced by laser beam at IMM (adapted from Citation7).

Figure 11. Diagrams of the single bubble cycle (left), the measured temperatures (middle) and the estimated local boiling heat fluxes (right).

Figure 11. Diagrams of the single bubble cycle (left), the measured temperatures (middle) and the estimated local boiling heat fluxes (right).

Figure 12. L-curve for the experimental data.

Figure 12. L-curve for the experimental data.

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