3.1. Pulse Pressure during Single-Pulsing Jet
Figure 3 shows the evolution of pulse pressure at the center of the inner surface of the filter during offline pulse jetting with a tank pressure of 0.5 MPa, nozzle diameter of 17 mm, and pulse durations of 0.020–0.500 s.
As the pulse signal was activated, the pulse valve was triggered and the transient pressure increased rapidly. As the pulse valve closed, the transient pressure decreased rapidly. In cases that the pulse duration td was below approximately 0.080 s, the peaks of the transient pressures increased with the pulse duration, indicating that pulse duration was the main factor restricting the pulse intensity. When the pulse duration td was sufficiently long (over approximately 0.080 s), the peak pressure reached its maximum level of approximately 0.75 kPa at 0.12 s. Two stages were observed during the decrease in transient pressure, one of which was a slowly decreasing stage, and the other was a rapidly decreasing stage. It can be inferred that the rapidly decreasing stage is due to the closure of the valve, and the slowly decreasing stage is due to the decrease in the pressure of the tank due to air consumption.
Regarding the maximum level that the peak pressure reached, it is analyzed that after opening the pulse valve, the compressed air flows from the air tank through the jet tube to the nozzle. Initially, the flow velocity of the air is low and the fluid resistance in the tube is small. As the flow velocity gradually increases, the fluid resistance in the tube increases. Finally, when the power provided by the pressure in the air tank is equal to the resistance in the tube, the flow velocity in the jet tube reaches the maximum and the nozzle outlet pressure also reaches the maximum.
There will be a moment when the pressure of the compressed air is reduced and the power of the compressed air is equal to the resistance in the jet tube, corresponding to the critical time (about 0.08 s in this paper). The outlet pressure of the nozzle also reaches the maximum value.
If the pulse duration td is shorter than the critical time, the nozzle outlet pressure cannot reach the maximum value. If the td is longer than the critical time, because the air tank pressure has been consumed, it is impossible to increase the flow rate in the jet tube and the nozzle outlet pressure any further.
As the peak transient pulse pressure acting on the filter is commonly used as an indicator of the pulse-jet intensity [
13,
16,
17,
27], the peaks and durations of the changes in pressures with the pulse duration were analyzed, as shown in
Figure 4. The peak pressure increased rapidly with the pulse duration
td when
td < 0.080 s, and remained almost the same value when
td > 0.080 s. The pressure duration exhibited a decelerating increase with the pulse duration without a clear critical value. Therefore, from the aspect of pulse intensity, the pulse duration
td of 0.080 s was selected as the recommended parameter for the research of the multi-pulsing jet in the following step.
3.2. Pulse Pressure during Multi-Pulsing Jet
After testing the residual pressure in the tank several times, the compressed air was found to be exhausted when the number of jet pulses reached seven with a pulse duration
td of 0.080 s.
Figure 5 shows the evolution of the transient pulse pressure during multi-pulsing.
Figure 5a–c shows the results of the seven-pulsing, five-pulsing, and three-pulsing jet schemes in the offline modes, and
Figure 5d shows these in online seven-pulsing jet schemes.
According to the pulse pressure evolution curves in the offline seven-pulsing jet schemes (
Figure 5a), the pressure waves overlapped with the adjacent waves when the pulse interval Δt < 0.10 s and separated when Δt > 0.15 s. The pressure waves had larger distances with a longer pulse interval. When the waves were separated, their values with the same pulse orders were equal among the varying pulse intervals, with first, second, and final peak pressures of approximately 0.74, 0.68, and 0.25 kPa, respectively. The times at which the pressure waves appeared were consistent with the pulse interval. For instance, the average wave appearance time interval was 0.215 s when the pulse interval was 0.20 s, and 0.397 s when the pulse interval was 0.40 s.
When the pulse interval was 0.050 s, the peak pressure was 0.998 kPa, which was significantly greater than the maximum value of approximately 0.75 kPa in the single-pulsing jet scheme. Therefore, not only were the pulse waves overlapped but also the pulse pressures were superimposed. This type of multi-pulsing jet scheme with a small pulse interval (below the 0.10 s found herein) has already been reported. Chen and Chen [
18,
19] conducted 3D modeling to investigate the multi-pulsing jet scheme, and found that the interaction of the residue gas from the previous jet pulse and the following jet pulse could form a high-pressure zone. They also found that the peak pressures decreased with the reduced pulsing frequency. These numerical simulation results support our experiment.
Owing to the poor cleaning effect of the negative pressure acting on the filter, the negative pressure was not designed to be tested here, and a transient pressure transducer without negative pressure was used. However, the negative transient pressure value could be revealed during pulse jetting [
16].
The pulse pressures in the five- and three-pulsing jet schemes are shown in
Figure 5b,c. The times at which the pulse waves and the peak pulse pressures appeared were similar for cases with the same pulse interval order in these three multiple pulsing jet schemes. The following pulse pressure did not influence the previous pulse pressure, and the pulse waves, if they were present, were similar between the different pulsed time multi-pulsing jet schemes.
Figure 5d shows the pulse pressure evolution curves during the online seven-pulsing jet scheme. Owing to the filtration pressure drop of 350 Pa, only five pressure waves were observed on the filter inner surface during the seven jet pulses, with the final two waves disappearing due to the filtration air resistance.
After comparing the pressure waves in the online and offline cleaning modes, the peak pressures in online modes were 0.36 kPa less than those in the offline modes, on average. The times at which the waves appeared with the same pulse order were almost the same between the online and offline modes. An example is the intervals between the times at which pressure waves of approximately 0.27 s appeared when the pulse interval was 0.25 s in both the online and offline cleaning modes. However, the pressure durations in the offline modes were longer than those under the online modes. This is primarily due to the filtration airflow resistance.
3.3. Re-Deposition Rate Testing of Single- and Multi-Pulsing Online Cleaning
To investigate the re-deposition of dust and cleaning efficiency, dust clogging and cleaning operation simulation experiments were conducted with pulse intervals Δt of 0 to 0.40 s. The filtration pressure drop and total fallen dust mass were tested in real time during operation. Each of the pulse-jet schemes was tested five times, and the experimental results with Δt = 0.05–0.15 s are shown in
Figure 6. Comparing the pressure drop evolution curves, as well as the fallen dust mass, among the cases with the same pulse interval, it was found that the residual pressure drops, fallen dust masses, and filtration periods (the time between two cleanings) exhibited similar values. Comparing the curves for the cases with different pulse intervals, it was found that, with an increase in the pulse interval, the residual pressure drop decreased, the fallen dust mass increased, and the filtration period increased, indicating that a better pulse-jet cleaning effect was obtained with a longer pulse interval in the range of Δt = 0.05–0.15 s.
The average fallen dust masses with the same pulse interval were calculated to further calculate the cleaning efficiency and dust re-deposition rate. The cleaning efficiency
η under the online cleaning mode for each pulse jet can be defined as the ratio of the fallen dust mass m
2 to the detached dust mass
m0, and the re-deposition rate
Rde can be defined as the ratio of the re-deposited dust mass
m1 to the detached dust mess
m0, as illustrated in
Figure 7. However, the detached dust mass
m0 under the online cleaning scheme is not easily tested because just some of the detached dust falls into the hopper. Thus, an approximate value of the detached dust mass needs to be found.
It was assumed that the dust masses over the filter surface were the same in cases with the same filtration pressure drops, and the detached dust masses were the same when the filter was subjected to the same pulse pressure, regardless of whether the cleaning mode was online or offline. The pulse pressure under the offline cleaning mode could be controlled to have the same value as that under the online cleaning mode by adjusting the tank pressure. The fallen dust mass m
0 under the online cleaning mode could then be indirectly obtained by testing the fallen dust mass
m0′ under the offline mode, i.e.,
m0 =
m0′. Without the influence of filtration airflow, all of the detached dust under the offline cleaning mode transformed into fallen dust, i.e.,
m0′ =
m2′, as illustrated in
Figure 7. Therefore, the cleaning efficiency η can be calculated as the ratio of
m2 to
m2′, and the re-deposition rate
Rde can be calculated as the ratio of
m1 (=
m2′ −
m2) to
m2′. The changes in the calculated
Rde value with the pulse interval Δt in three- and five-pulsing jet schemes are shown in
Figure 7.
Rde decreased with the pulse interval when the pulse interval Δt was <0.25 s, and remained stable when Δt > 0.25 s under both the three- and five-pulsing jet schemes. As indicated by the curves with five-pulsing jet cleaning,
Rde decreased from 63.8% when Δt = 0 s (i.e., single-pulsing jet) to 24.4% when Δt = 0.25 s, and the corresponding cleaning efficiency
η increased from 36.2% to 75.6%. Under the three-pulsing jet cleaning schemes,
Rde was higher than that under the five-pulsing modes, decreasing from 38.8% when Δt = 0 s to 36.0% when Δt = 0.25 s. The multi-pulsing scheme was found to notably affect the re-deposition phenomenon. The mechanism of this will be discussed in
Section 3.4.
In a previous report, the re-deposition rate was tested within a range of 9–32% [
5], which was smaller than that of our overall result. This is mainly because six filters operated in parallel in the previous study, and the influence on the total filtration airflow was lower when only one filter was pulse jetted. The filtration airflow was not concentrated on the cleaning filter and the detached dust could be entrained to the other filters. In another report [
9], the re-deposition rate was 38–83%, which was higher than our result. This is mainly because they used a 2.44 m long filter, while ours was 0.66 m long. The detached dust requires more time to fall into the hopper with a longer filter and it is more likely to be re-deposited on the filter by the recovering filtration airflow.
In
Section 3.2, the pulse pressure under the small pulse interval (Δt = 0.05 s) was greater than that under other intervals due to the superimposed effect. However, no clear peak of the re-deposition rate corresponding to Δt = 0.05 s was observed, indicating that the re-deposition was less influenced by the superimposing of pulse pressure than it was by the pulse interval. The re-deposition rate became a relatively stable value when the pulse interval exceeded 0.25 s, which was selected as a recommended parameter along with the recommended pulse duration of 0.080 s.
3.4. Mechanism Analysis
To investigate the inhibition mechanism of dust re-deposition in the multi-pulsing scheme, it is necessary to analyze the airflow. However, the filter face velocity is not easily tested. Thus, some assumptions are made here and a semi-quantitative analysis is conducted.
The single-pulsing with a pulse duration of 0.400 s and the five-pulsing with a pulse duration of 0.080 s and intervals of 0.25 s and 0.40 s were selected for comparison. These cases had the same total pulse duration (i.e., the same compressed air consumption).
Based on Darcy’s law and ignoring the inertia of the airflow, the filter face velocity is assumed to be proportionate with the pressure difference across the filter when the loaded dust on the filter is fixed. For a better comparison, the average peak pulse pressures in the online five-pulsing jet schemes were calculated for cases with the same pulse order but different pulse intervals. The face velocity of 0.88 m/min corresponding to the pressure drop of 350 Pa indicates face velocities of −1.07, −0.78, −0.49, −0.33, and −0.11 m/min (negative values indicate the flow direction against filtration), corresponding to average peak pulse pressures of 427, 311, 196, 130, and 43 Pa, respectively. The peak pressure of 427 Pa is also the maximum value for the online single-pulsing jet. The time at which the airflow reached the maximum or minimum is assumed to be consistent with the time at which the pulse pressure reached its maximum or minimum value. The change in the face velocity caused by the pulse pressure is assumed to be linear as the pulse pressure increased rapidly. The recovery of filtration velocity is assumed to be a growth curve pattern. The filter face velocity calculated based on a semi-quantitative analysis is shown in
Figure 8.
For the single-pulse jet, the face velocity was found to become negative due to the reverse pulse jet, remain at this value, and then recover to the filtration velocity value (line L1 in
Figure 8). With the multi-pulsing jet, the face velocity was found to become negative multiple times with a longer duration for the reverse face velocity.
As the detached dust is inert and is at a distance from the filter shortly after the reverse pulse flow ends, the detached dust cannot immediately reach the filter when the filtration flow just begins to recover. Time is required for the detached dust to re-deposit on the filter’s surface. It is assumed that line L2 in
Figure 8 corresponds to the time at which the detached dust begins to re-deposit on the filter with the entrainment of the recovering filtration flow. The elapsed time required for the detached dust to fall before being re-deposited on the filter under the multi-pulsing cleaning schemes is notably longer than that under the single-pulsing cleaning scheme. The elapsed time
t2 under the multi-pulsing scheme with the recommended pulse interval Δt of 0.25 s is 1.48 s, which is 2.8 times the
t1 value of 0.52 s under the single-pulsing scheme.
However, with a longer pulse interval, such as Δt = 0.40 s, the detached dust could reach and re-deposit on the filter prior to the triggering of the following pulse pressure. The re-deposition of the dust continued until the filter face velocity reversed to negative under the action of the following pulse jet. Owing to this phenomenon, a longer pulse interval had no notable effect on further inhibiting dust re-deposition. Dust migration is complicated, and a further analysis should be conducted until more data can be obtained.
It is inferred that the multi-pulsing jet lengthens the duration of the reverse pulse flow, increases the time available for the detached dust to fall before being re-deposited, inhibits the re-deposition rate, increases the fallen dust mass, and improves the cleaning efficiency.