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The openly available bulk material was a highly porous carbon-bonded carbon fiber preform (CBCF), consisting of a short fiber insulation originating from rayon (cellulose fiber made from purified cellulose). The chopped, discontinuous virgin carbon fibers are interconnected in a matrix produced by the carbonization of phenolic resin. During this process the fibers become oriented and the microstructure and properties are anisotropic. The material is then vacuum-treated at temperatures above 2,300 K to ensure its temperature stability and the absence of outgassing. The material was machined in-house to hemispherical (HS) test samples of radius 25 mm with 50 mm in length. The samples have an initial density of about 180 kg/m3 with an initial porosity of 90%.
The VKI Plasmatron facility has been used for all the experiments for the reproduction of the aero-thermodynamic environment of re-entry plasma flows, creating a high-enthalpy, highly dissociated subsonic gas flow. The gas is heated by induction through a coil, creating a high purity plasma flow. An overview of the test chamber and a schematic of the experimental instrumentation for in-situ ablation measurements can be found in Fig. 1(a) and 1(b). Experimental test conditions and overall results, such as averaged recession rate obtained from HSC imaging and mass loss are listed in Table 1. We used a two-color pyrometer, employing a wide (0.75-1.1 µm) and narrow (0.95-1.1 µm) spectral band for the temperature determination at 1 Hz acquisition rate (1,300-3,300 K). Using two narrow wavelength bands and under the assumption of an emissivity being independent of the wavelength, the surface temperature can be estimated without knowledge of its emissivity. The pyrometer was pointed and focused in the stagnation area of the sample through a 1 cm thick quartz window, at an angle of 35° with respect to the stagnation line. The instrument was calibrated up to 3,300 K by a black body source.
The surface recession was measured by the HSC with a resolution of 0.2 mm. It is evident that caliper rule recession measurements generally resulted in larger values than those performed by HSC imaging, with a difference in total recession between the two methods ranging from 0.45 to 0.9 mm. The highest uncertainty for this measurement was introduced by compressing the brittle char layer with the caliper rule. Recession rates in air varied between 44.6 and 58.4 µm/sec. It is furthermore apparent that HSC-determined recession rates in air plasma did not differ much, probably due to a diffusion-controlled ablation regime. In this regime, the surface temperature is high enough to cause complete consumption of the available oxygen at the surface, and consequently, ablation is restricted by the diffusion of oxygen through the boundary layer32,33. Conversely, in an oxidation reaction controlled environment, oxygen diffuses faster through a boundary layer than it is consumed at the surface and ablation increases with surface temperature. Recession rates of the CBCF material in high-enthalpy environments are also reported by MacDonald et al. (56 µm/sec)22 and Löhle et al. (50 µm/sec)34. Those values lie between our measurements, although MacDonald et al. used a cylindrical test sample shape and Löhle et al. a test sample embedded in a water-cooled probe.
Three low-resolution spectrometers were used for observation of the gas-phase. Advantage of this instrument is a fast scanning of a wide spectral range (200 - 1,000 nm) that allows for detection of multiple molecules and atoms, present in ablation analysis.
Integrated CN emission intensities, plotted over distance from the ablating surface show very good agreement with respect to each other (Fig. 2). The data are labeled according to their respective positions from the sample surface with 'close', 'middle', and 'far'. The three spectrometers measured the same CN violet emission intensity once the fixed optical path collected light from the same distance in front of the surface. The integrated intensities of all three spectrometers almost coincide 3.4 mm before the ablating surface. Both cases show that the recorded CN violet emission peaked just in front of the test sample, before decreasing through the boundary layer. From those results we deduce that the material burn-off in air during the whole test time was very stable, and that the recorded emission signal dropped about 90% within 5 mm frontal of the surface. CN violet experimental spectra were then used for comparison to simulated spectra in order to obtain gas temperatures. The synthetic spectra were obtained using SPECAIR 2.2, assuming a Boltzmann distribution of excited levels and a least-squares fitting procedure was applied to estimate translational-rotational temperatures Trot and vibrational-electronic temperatures Tvib (Fig. 3). Two conditions, at low (a) and high (b) pressure are presented, with the spectra taken close to the wall in the boundary layer. The estimated temperatures yielded a high deviation from thermal equilibrium at low pressure (Fig. 3(a)). The same analysis was performed for several distances from the surface, better illustrating the deviation from thermal equilibrium close to the wall at low pressure (Fig. 4(a), 15 hPa), equilibrating through the boundary layer. The retrieved temperatures were in the order of 8,200 K for Trot and 21,000 K for Tvib close to the wall, with Tvib decreasing towards 8,200 K through the boundary layer. This is in contrast to the equilibrium condition throughout the boundary layer at higher pressure (Fig. 4(b), 200 hPa). The temperature bounds were based on an uncertainty of 10% on the spectrometer emission intensity, allowing a theoretical spectrum variation within those limits for the fitting procedure.
At low pressure, excitation transfer between molecules is reduced due to fewer collisions, which may explain the equilibrating effect towards the boundary layer edge. We assume a strong influence of molecular nitrogen at low plasma enthalpies on CN production, followed by vibrational excitation of CN. Dissociative adsorption of highly vibrationally excited nitrogen is assumed to create reactive sites at the surface that lead to CN production. Boubert and Vervisch describe this process in a nitrogen/carbon-dioxide plasma at low pressure35. This process may create a pool of nitrogen atoms at the surface, with exothermic reactions leading to excess energy being converted into rotational and vibrational excitation of CN.
Micrographs proved that carbon oxidation in air plasma led to an icicle shape of the ablated fibers with an oxidation depth of around 0.2 mm (Fig. 5(a)). This kind of icicle shaping due to ablation is widely reported in literature for carbon-carbon composite materials36-38. The icicle shape (opening angle) depends on the reaction-diffusion competition at the surface of the porous material, and hence, varies with oxygen diffusion. This length is assumed to correspond to the average depth of oxygen diffusion. The icicle shape additionally confirms diffusion-controlled ablation. In contrast, reaction limited ablation would allow oxygen to float into the deeper fiber structure, producing local pitting of the carbon fibers.
Bright sparking was observed during some ablation tests (Fig. 5(b)), which might be caused by hot fiber clusters detaching from the surface. Ablation in nitrogen plasma led to highly degraded fibers along their surface, which led to a slow recession of the material by nitridation (Fig. 5(c)). As the reactivity of carbon to nitrogen is much lower than that to oxygen, nitrogen is able to diffuse deeper into the material, leading to degradation along the whole fiber.

Figure 1. Plasmatron and experimental setup overview. (a) VKI Plasmatron test chamber overview indicating test sample outside the retention system, heat flux and pressure probes, and optical accesses for radiometers, HSC, and spectrometer optics. (b) Schematic of the experimental setup. Please click here to view a larger version of this figure.

Table 1. Plasmatron test conditions and experimental results of carbon preform samples. Test case reference, test gas, static pressure ps, dynamic pressure pd, generator power P, mean cold wall heat flux qcw, test sample exposure time τ, mean surface temperature Ts, recession rate r/τ, and mass loss rate m/τ.

Figure 2. Spatial CN violet emission in boundary layer. Emission profiles recorded by three adjacent spectrometers during preform ablation in air coincide well when the fixed optical paths were collecting light from the same distance in front of the ablating surface: stable material burn-off, and reactive boundary layer size ~5 mm frontal of the surface (condition A1a). Please click here to view a larger version of this figure.

Figure 3. CN violet temperatures estimated from spectral fitting method. Least-squares method for best fitting of CN violet spectra computed with SPECAIR 2.2 provided translational-rotational and vibrational-electronic temperatures Trot and Tvib: (a) Condition A1a: Trot = 8,240 K ± 400 K, Tvib = 21,600 K ± 1,700 K, TLTE = 12,600 K ± 500 K (equilibrium simulation TLTE indicated for comparison); (b) Condition A1a: Trot = 6,880 K ± 200 K, Tvib = 7,120 K ± 180 K. Please click here to view a larger version of this figure.

Figure 4. CN violet temperature profiles in boundary layer. Translational-rotational and vibrational-electronic temperatures Trot and Tvib from simulated, fitted CN violet spectra computed with a radiation simulation tool at four distances from the ablating surface suggest deviation from a thermal equilibrium condition close to the wall at a low pressure of 15 hPa (a) but present equilibrium throughout the boundary layer at 200 hPa (b). The temperature bounds [K] were based on an uncertainty of 10% on the spectrometer emission intensity, allowing a theoretical spectrum variation within those limits for the fitting procedure. Please click here to view a larger version of this figure.

Figure 5. Scanning Electron Micrographs after air ablation (a), including in-situ photograph (b) and micrographs after nitrogen ablation (c). (a) Post air-ablation micrographs taken at frontal surface close to stagnation point present thinning of carbon fibers due to oxidation from fiber tip, leading to icicle shape, the depth of oxygen diffusion is close to 200 µm (diffusion limited ablation); (b) Photograph taken during ablation test of a cylindrical test sample (exposure time: 1/200 sec) illustrates bright sparking; (c) Strong corrosion was observed in nitrogen along whole fiber length. Please click here to view a larger version of this figure.