https://orcid.org/0000-0003-1916-6206
The following are the changes made to the original paper:
1. Section 2 (Experimental setup) Last paragraph third sentence -
For each combination of thermal load and equivalence ratio, the fraction of hydrogen in the fuel was varied in increments of 10%, until flashback occurred or the thermoacoustic pulsations were strong enough to damage the combustor windows. In total, 48 flame conditions were successfully measured.
2. Section 2 (Experimental Setup) Table 1 column 3 -
Different dynamical states observed by increasing HFF (%) for 10 kW, 15 kW, and 20 kW for = 0.65 and 0.8. The expanded forms of the abbreviations used in the table are provided in the nomenclature section. NA refers to the nonavailability of data at that conditions due to the breakage of the quartz window allowing optical access to the combustor.
| P (kW) | 0.65 | 0.8 | ||||
|---|---|---|---|---|---|---|
| HFF | 10 | 15 | 20 | 10 | 15 | 20 |
| 0% | CO1 | P2 | P2 | CO1 | P2 | P2 |
| 10% | I | P2 | P2 | CO1 | P2 | CO2 |
| 20% | P1 | P2 | P2 | CO1 | CO2 | CO2 |
| 30% | P1 | P2 | P2 | CO1 | CO2 | CO2 |
| 40% | P1 | P2 | I | I | CO2 | CO2 |
| 50% | P1 | P2 | P1 | I | P1 | CO2 |
| 60% | P1 | CO2 | NA | I | P1 | CO2 |
| 70% | P1 | CO2 | NA | I | CO2 | NA |
| 80% | P1 | CO2 | NA | NA | CO2 | NA |
| P (kW) | 0.65 | 0.8 | ||||
|---|---|---|---|---|---|---|
| HFF | 10 | 15 | 20 | 10 | 15 | 20 |
| 0% | CO1 | P2 | P2 | CO1 | P2 | P2 |
| 10% | I | P2 | P2 | CO1 | P2 | CO2 |
| 20% | P1 | P2 | P2 | CO1 | CO2 | CO2 |
| 30% | P1 | P2 | P2 | CO1 | CO2 | CO2 |
| 40% | P1 | P2 | I | I | CO2 | CO2 |
| 50% | P1 | P2 | P1 | I | P1 | CO2 |
| 60% | P1 | CO2 | NA | I | P1 | CO2 |
| 70% | P1 | CO2 | NA | I | CO2 | NA |
| 80% | P1 | CO2 | NA | NA | CO2 | NA |
3. Section 3 (Results and Discussion) Second paragraph sixth sentence -
At the higher thermal power (P = 20 kW) and 0.65, the system exhibits low amplitude P2 LCO for lower HFF, while intermittency and P1 LCO are noticed at higher HFF.
4. Section 3 (Results and Discussion) Figures corrections -
5. Section 3 (Results and Discussion) Figures’ captions -
Fig. 2 (a) The time series, (b) scalogram, (c) three-dimensional phase space, and (d) power spectrum of during the state of P1 LCO, observed for P = 20 kW, = 0.65, HFF = 0%, and Re = .
Fig. 4 (a) The time series, (b) scalogram, (c) three-dimensional phase space, and (d) power spectrum of signal during the state of P2 LCO observed for P = 20 kW, = 0.65, HFF = 20%, and Re = .
Fig. 6 (a) The time series, (b) scalogram, (c) three-dimensional phase space, and (d) power spectrum of signal during the state of intermittency for P = 20 kW, = 0.65, HFF = 40%, and Re = .
Fig. 8 (a) The time series, (b) scalogram, (c) three-dimensional phase space, and (d) power spectrum of signal during chaotic state-2 (CO2) for P = 15 kW, = 0.8, HFF = 70%, and Re = .
Supplementary Material
(1) Figure S4 correction
Figure S4: (I) The time series of normalized and fluctuations for five instants (a-e) during different instants indicating the local maxima and minima in chaotic state-1. The corresponding (II) PIV (III) OH-PLIF, and (IV) OH*- chemiluminescence images
Figure S4: (I) The time series of normalized and fluctuations for five instants (a-e) during different instants indicating the local maxima and minima in chaotic state-1. The corresponding (II) PIV (III) OH-PLIF, and (IV) OH*- chemiluminescence images
(2) Figure’s caption
Figure S6: (a) The time series, (b) scalogram, (c) three-dimensional phase space, and (d) power spectrum of signal during the state of P1 LCO observed for P = 10 kW, = 0.65, HFF = 20%, and Re = .
Fig. 7 (a) The time series, (b) scalogram, (c) three-dimensional phase space, and (d) power spectrum of during chaotic state-1 (CO1), observed for P = 10 kW, = 0.8, HFF = 0%, and Re =
Fig. 7 (a) The time series, (b) scalogram, (c) three-dimensional phase space, and (d) power spectrum of during chaotic state-1 (CO1), observed for P = 10 kW, = 0.8, HFF = 0%, and Re =
Fig. 9 0–1 test performed for chaotic state-1 (Fig. 7(a)) and chaotic state-2 (Fig. 8(a)). (i) The plot between the translation variables x(n) and y(n), (ii) the behavior of mean square displacement M(n) with n, and (iii) the variation of the growth rate K with N.
Fig. 9 0–1 test performed for chaotic state-1 (Fig. 7(a)) and chaotic state-2 (Fig. 8(a)). (i) The plot between the translation variables x(n) and y(n), (ii) the behavior of mean square displacement M(n) with n, and (iii) the variation of the growth rate K with N.
