To investigate rocket base flow dynamics with regard to flow–flow-interaction between the ambient free stream and the propulsive jet, also referred to as the external and internal flows, the test object, an axisymmetric wind tunnel model, was located within the external wind tunnel flow. There, it was supplied with the propulsive gas via its support structure. The internal flow was generated by expansion through the model’s thrust nozzle at the base of the generic rocket. Reference
[14] shows our first approach of visualizing the flow topology for both, the cold plume and GH2/GO2 hot plume test cases in combination with ambient flow. For that, a Schlieren optics setup with high-speed imaging equipment within the topological region given in Fig. 8 was used. The goal was to analyze the Schlieren recordings with respect to their spectral content in order to identify and compare dominant frequencies, their intensities, and the local distribution in the wake between the different test cases.
4.1 GH2/GO2 Wind Tunnel Model
The wind tunnel model is located on top of the central support structure, which is held within a cylindrical duct upstream of the convergent subsonic wind tunnel nozzle via eight tubes (Fig. 9). The tubes are used to supply the model with combustion gases (2xGH2, 2xGO2) or high-pressure air, cabling for sensors and ignition, and optional coolant mass flow. The detailed internal and external dimensions of the wind tunnel model extension are given in
[14]. The axisymmetric backward-facing step is a generic representation of the Ariane 5 main stage afterbody with respect to the ratios of L/D and d/D on a scale of 1/80. The outer dimensions are equal to previous investigations by Saile et al.
[17, 20, 21], although the model was remade due to the functional requirements for hot gas testing. The inner geometry of the thrust chamber and single element shear flow injector was designed and investigated in previous work
[19]. The thrust chamber and nozzle extension are made of oxygen-free high thermal conductivity (OFHC) copper, the injector part is made by additive manufacturing of an Inconel 718 alloy with a maximum temperature rating of 1020 K to prevent hydrogen environment embrittlement.
4.2 Test Program and Test Conditions
References
[13, 14] compare four main test cases at the critical ambient flow Mach number of 0.8 to investigate the main characteristics of the base flow dynamics and topological features with regard to the influence of a hot exhaust jet. First, the cold exhaust jet is measured without ambient flow and the wake flow is measured without an active exhaust jet. Then, a cold exhaust jet is added, similarly as in preceding investigations by Saile et al.
[17, 21]. Finally, the analysis proceeds to a test case with hot exhaust jet. The approach is to consequently keep the ambient flow and chamber conditions constant through all tests, as far as possible. The test conditions are depictured in Fig. 10 and are given in more detail in
[13, 14]. Figure 10 also shows the comparability of the test cases within the evaluation time window \(t_\mathrm {eval}\).
4.3 Wind Tunnel Test Results
To compare the findings from the spectral analysis, dominant frequencies of specific types of flow features similar to, or included in, the flows under investigation, were estimated in
[14]. They were categorized in the acoustic and spatial modes of the model’s pressure chamber, modes of the dynamic motion of the rocket wake flow, and acoustic phenomena from the jet dynamics. Detailed information on how the frequencies were estimated can be found in
[14]. In the following section, it is shown that in case of cold jet interaction, where the swinging motion of the ambient shear flow matched the jet screeching frequency on the one hand and the 2 L mode of the pressure chamber on the other hand, large fluctuations arose within the wake flow region. In contrast, this was not the case for the hot jet interaction experiments. Therefore, the analysis of the results focused on the causalities and evaluates the different influences on the wake flow dynamics.
4.3.1 Cold Plume Interaction
Temporal Characterization
Figure 11 shows the power spectra of the High-speed Schlieren (HSS) intensity fluctuations for the ambient flow cases without jet and with cold jet. These were analyzed in combination with the power spectra of the dynamic total pressure measurements inside the model pressure chamber. The amplitude spectrum of the HSS image intensity fluctuations shows three major peaks for the ambient flow case without jet. According to
[13, 14], the peaks at 700 Hz and around 1330 Hz can be assigned to the cross-flapping and swinging motion frequencies of the shear layer, estimated as \(f_\mathrm {cf}=753\,\mathrm {Hz}\) (\(\mathrm {Sr}_D=0.2\)) and \(f_\mathrm {sw}=1318\,\mathrm {Hz}\) (\(\mathrm {Sr}_D=0.35\)).
In case of ambient flow with cold jet, the pressure chamber fluctuations (Fig. 11, dashed line) are amplified for certain frequencies, compared to the ambient flow without jet. In particular, this is true for the band around 1330 Hz, where the swinging motion is observed for the ambient flow without jet, as well as for 1235 Hz, which is close to the estimated jet screeching frequency \(f_\mathrm {sc}=1247\,\mathrm {Hz}\). This strong congruency with the estimated characteristic frequencies of the wake flow and jet dynamics yields to the hypothesis, that flow–flow interaction, leading to an amplification of certain flow features might appear. This hypothesis is further supported by an extreme peak in the HSS power spectrum for cold jet interaction at around 1330 Hz, which corresponds to the swinging motion frequency as well as the 2 L chamber mode. This gives rise to the assumption that a strong coupling exists between the broadband chamber pressure oscillations around 1330 Hz, including the 2 L mode, the jet screeching, and the swinging motion of the shear layer. What is unclear at this point is to which extent the three different frequencies contribute to the observed amplification.
Spatial Characterization
In addition to the temporal features of the flow field, Fig. 12 gives an overview on the spatial characteristics, or eigenmodes, of the flow field’s motion. Figures 12a and b show that the peaks in the HSS power spectrum are actually related to spatial distributions according to the known cross-flapping and swinging motion of the ambient shear layer without jet interaction. Adding the cold exhaust jet leads to a strong amplification of the swinging motion, shown in Fig. 12c, as previously expected from the HSS power spectrum (Fig. 11). It is evident, that most of the fluctuation energy is concentrated in circular structures, emanating from the base shoulder and continuing within the shear layer down to the far wake.
4.3.2 Hot Plume Interaction
Temporal Characterization
The power spectrum of the HSS intensity fluctuations from the hot jet case (Fig. 13 shows a slightly higher mean level compared to the cold jet case. However, the amplitude level strongly depends on the optical setup and the dynamic range of the global density. Since the hot jet density significantly deviates from the cold jet density by approximately one order of magnitude, this effect might be related to the generally higher density gradients in the field. Further, the spectrum does not reveal increased peaks referred to chamber oscillations. This means that no distinct excitation of the near-wake flow takes place due to fluctuations in the chamber. Nevertheless, peaks can be detected at the same characteristic frequencies as found for the ambient flow without jet (700, 1290, and 1360 Hz). Therefore, the flow field is dominated by the well-known near-wake flow dynamics such as the cross-flapping and swinging motion. However, the previously found strong excitation mechanisms and presumable coupling phenomena cannot be detected in this case.
Spatial Characterization
As expected from the average HSS power spectra, the ambient flow case with hot jet interaction behaves similarly to the ambient flow without jet regarding the frequencies of the cross-flapping and swinging motion. In Fig. 14, they are plotted in their most intensified bands, which are 710 Hz for the cross-flapping motion (Fig. 14a) and 1300 Hz for the swinging motion (Fig. 14b), which correspond to \(\mathrm {Sr}_D=0.2\) and \(\mathrm {Sr}_D=0.35\). Compared to the ambient flow without jet, the mean amplitude is increased in the whole interacting flow regime. In particular, this is true inside the jet and in the far wake of the bluff body, where the shear layers are interacting strongly. In contrast to the cold gas interaction, no amplification of local distinct flow features is visible in this case.