Effect of Double Air Injection on Instability Phenomena in Centrifugal Compressor

In the operation of a centrifugal compressor of turbocharger, instability phenomena such as rotating stall and surge are induced at a lower flow rate close to the maximum pressure ratio. In this study, the compressed air at the exit of centrifugal compressor was re-circulated and injected to the impeller inlet by using two injection nozzles in order to suppress the surge phenomenon. The most effective circumferential position was examined to reduce the flow rate at the surge inception. Moreover, the influences of the injection on the fluctuating property of the flow field before and after the surge inception were investigated by examining the frequency of static pressure fluctuation on the wall surface and visualizing the compressor wall surface by oil-film visualization technique.


Introduction
In recent years, the regulations of the exhaust gas and the fuel consumption of automobile become more severe with the years from the viewpoint of global warming prevention.In Europe, the technology termed the supercharged downsizing is developing and regarded as a part for environmental regulations, in which the displacement reduced by the downsizing of engine aiming to minimize its mechanical loss is supplemented by the equipment of a turbocharger for the engine to keep the torque.Therefore, the application of a turbocharger to various types of vehicle is developing rapidly.On the other hand, the centrifugal compressor, which is a main component of turbocharger, possesses higher pres-T.Hirano  sure ratio in a single stage than that of axial one.But, the performance of compressors at lower flow rate is characterized by the occurrence of unsteady flow phenomena such as surge and rotating stall.Such instabilities cause critical operating conditions with strong dynamical loading on the blades and can therefore not be tolerated during compressor operation.The surge may generate enough intense vibration and noise to destroy the whole pipeline system including a compressor.As a result, the stable operation range is inevitably restricted.
Therefore, the extension of the stable operation range and the improvement of the supercharging characteristics of a centrifugal compressor are required dramatically.Several investigations [1]- [9] have been carried out to control the inception of instability phenomena for the purpose of the extension of stable operation range of a centrifugal compressor to the lower flow rate.However, the factors leading to the occurrence of surge have not been clarified yet.
In this study, the compressed air at the exit of centrifugal compressor was re-circulated and injected to the impeller inlet by using two injection nozzles in order to suppress the surge phenomenon.In addition, the optimum circumferential relative position of two injection nozzles, which most effectively reduced the flow rate for the surge inception, was investigated for the compressor at rotational speed of 40,000 rpm.Moreover, the influences of the injection on the fluctuating property of the flow field before and after the surge inception were investigated by examining the frequency of static pressure fluctuation on the wall surface and visualizing the compressor wall surface by oil-film visualization technique.

Experimental Apparatus and Method
The experimental apparatus used in this study is shown in Figure 1(a).The compressed air supplied from the screw compressor was used to drive the turbine impeller which revolved the compressor impeller through the co-rotating axis.In this study, in order to extend the stable operating range of centrifugal compressor to lower flow rate by the suppression of surge phenomenon, a part of the compressed air at the exit of the compressor scroll was re-circulated and injected into the impeller inlet through the bypass pipe by using the double injection nozzle system, which consists of two nozzles installed on the inner wall of suction pipe.Then, the remaining air at the exit of the compressor scroll was discharged through the delivery duct.In the following, the case with the injection nozzle is named "Injection" and that without the injection nozzle is named "Normal".
The specifications and the configurations of centrifugal impeller are shown in Table 1 and Figure 2, respectively.The injection nozzle is movable in the circumferential direction.The circumferential position of injection nozzles is indicated by IP, which has the origin at the corresponding position to the scroll Open Journal of Fluid Dynamics   tongue portion and takes positive value in the impeller rotational direction as shown in Figure 3.The circumferential position of the first nozzle was always fixed to IP(+30).On the other hand, that of second one was changed in the circumferential direction.Moreover, in order to investigate the effect of the injection position of fixed nozzle, the circumferential position of the first nozzle was also fixed to IP(−135).The second one was also changed in the circumferential direction as for IP(+30).The notation of IP(+a, +30) and IP(+a, −135) indicates that the circumferential position of the first injection nozzle is at +30 and −135 degree and that of the second one at +a degree.The inner diameters of the injection nozzles used in this study are 5 mm.The experiments were performed to find out the optimum circumferential position of the second nozzle for the fixed first one, which is able to most effectively reduce the flow rate of surge inception.The rotational speed of the tested impeller was 40,000 rpm.In this study, the surge inception was detected by the observation of the pressure fluctuation caused by the surge, which was suddenly increased by gradually closing the valve by its minimum revolution.The corrected flow rate G and the pressure ratio π t were defined by the following equations: where G 0 is the measured flow rate, P a0 is the standard atmospheric pressure, P a is the measured atmospheric pressure, T 1 is the measured temperature, T 0 is the standard temperature, and P t is the measured total pressure at compressor outlet.In order to investigate the unstable phenomena, the wall static pressure fluctuation was measured at 50 mm downstream of the compressor exit.The frequency characteristics of the wall static pressure fluctuation were analyzed by performing FFT.Flow sensor was installed at the bypass pipe to measure the flow rate ejected from the injection nozzle.The oil flow visualizations were performed at the shroud and the hub side walls in the diffuser by using the oil mixture with titanium oxide.(Figure 4 and Figure 5).The other performances for Injection, which are not shown here, also exhibit the similar tendency.Although the total pressure ratio of both Injection was decreased about 1% compared with that of Normal at the higher flow rate region, the critical flow rate for surge inception is reduced by using the nozzle injection system as clearly seen in Figure 4(b) and Figure 5(b).

Performance Characteristics
Therefore, the nozzle injection system is considered to be able to extend the stable operating range to the lower flow rate region without significant decrease in the total pressure ratio.

Optimal Injection Position
In order to assess the effect of injection on the reduction of critical flow rate for surge inception and on the increase of operating range of the compressor, the improvement rate of surge margin I RSM and the improvement rate of operating range I ROR were defined by the following equations, respectively: [ ] max max 100 % where G N and G I mean the critical flow rate for surge inception in Normal and Injection, respectively, and G Nmax and G Imax are for the maximum flow rate.could not be performed because the holders of two injection nozzles interfered with each other at these region of injection positions.The I RSM exhibits the improvement rate of about 40% for every IP.The effect of the difference in the position of the fixed nozzle on I RSM was not observed.In the previous study [9], however, the effects of IP on I RSM were detected.The critical flow rate for surge inception of Normal in this study was lower than that in the previous study.
Therefore, the dependency of IP on I RSM is considered to be reduced by the decrease of the critical flow rate for surge inception of Normal.In Figure 6(b), the both of I ROR for each fixed nozzle indicate the extension of the operating range compared with that of Normal.The I ROR for the fixed nozzle of IP(−135) exhibits the improvement rate of about 3% more than that for the fixed nozzle of IP(−135) for every IP.However, I RSM of IP(+30) is slightly larger than that of IP(−135).Therefore, it is considered that there is the trade-off between I RSM and I ROR caused by the differences in the position of the fixed nozzle.These results suggest that the present double nozzle injection system extends the stable operating range of the compressor to the lower flow rate without significant decrease in the maximum flow rate as well as in the total pressure ratio.

Injection Flow Rate
In order to evaluate the ratio of the injected mass flow rate G R to that discharged Figure 8 shows the re-circulation ratio R RI for the Injection.The re-circulation ratios RRI of both Injection are increased by the decrease of the flow rate G, and this tendency is kept for every injection position IP.The independency of R RI on IP is considered to be one of the reasons for the fact that the I RSM was independent on IP in the present study.The R RI at the critical flow rate for the surge inception was much than that in the previous investigation [9], because of the lower critical flow rate for surge inception.The appearance of this undisturbed region for Injection is considered to suggest the suppression of the reversed flow by the interaction with the injected flow.
The circumferential position of the undisturbed region migrates depending to the injection position IP as shown in Figures 10-15.Moreover, the total areas of the undisturbed region are almost same for every IP.Although the undisturbed region slightly appears at the hub side for each Injection, the radial component of the reversed flow is reduced compared with that in Normal.Therefore, it is considered that the injection on the inner wall of the suction pipe of the compressor would reduce the reversed flow region distributed on the hub side wall from the diffuser exit up to the impeller inlet which appears before the surge inception, and there is the relationship between the no changes in the improvement rate of surge margin due to the difference of the fixed nozzle position and in the area of undisturbed region.However, the behavior of the flow in the diffuser is still unclear whether the undisturbed region for Injection of the oil flow visualization is formed.This phenomena will be investigated more detail in the near future.

Conclusions
The following conclusions were obtained by the present study: 1) The present double nozzle injection system extends the stable operating range of the compressor without significant decrease in the maximum flow rate as well as in the total pressure ratio.
2) The improvement rates of surge margin of the tested compressor were not influenced by the circumferential position of the second injection nozzle because of the relatively low critical flow rate for the surge inception at the condition without the injection.
3) The independency of the improvement rate of surge margin on the circumferential position of the first injection nozzle would be related to the independency of the circumferential position of the second injection nozzle.

Figure 1 (
b) shows the cross-sectional view of double injection system.The head of each nozzle was installed at 1 mm upstream of the impeller leading edge.

Figure 1 .
Figure 1.Schematic view of experimental apparatus and double injection system: (a) Experimental apparatus; (b) Double injection system.

Table 1 .
Specification of tested impeller.

Figure 4 (
Figure 4(a) and Figure 5(a) show the overall performance characteristics for

Figure 3 .
Figure 3. Definition of position of injection nozzle.

Figure 4 .
Figure 4. Performance characteristics for fixed injection position of IP(+30): (a) Performance characteristics; (b) Performance characteristics at low flow rate.

Figure 5 .
Figure 5. Performance characteristics for fixed injection position of IP(−135): (a) Performance characteristics; (b) Performance characteristics at low flow rate.

Fig- ure 6 Figure 6 .
Figure 6.Improvement rate for tested compressor: (a) Improvement rate of surge margin I RSM ; (b) Improvement rate of operating range I ROR .

Figure 7
Figure 7 shows the frequency characteristics of the static pressure fluctuation on the inner wall surface of the delivery duct at 50 mm downstream of the compressor exit for Normal and Injection at the flow rate nearest to that at surge inception of Normal.The peak of the spectrum of pressure fluctuation for Normal was observed around 38 Hz.The peaks for the IP of Injection are lower than that in Normal.Therefore, it is considered that the optimum IP of Injection enhances the improvement rate of surge margin by suppressing the unstable phenomenon appearing before the surge inception.
et al.