Abstract
Polymeric composites are vastly employed in ablative Thermal Protection Systems of hypersonic vehicles. Due their high velocity and altitude of flight, such vehicles are subjected to a high variation in atmospheric pressure, which affects the ablative process over the heat shield. This study evaluates the influence of pressure environment in the ablation through experiments performed in a vacuum chamber, where the samples of carbon–phenolic composite were tested for two different pressures at prescribed heat fluxes impinged by a plasma torch. A reliable physical model is proposed, and numerical results are compared with experiments, presenting good agreement and revalidating the simulation model. The specific mass loss rate at rarefied pressure was compared with the one at atmospheric pressure, and a reason for the difference is explained. Recession surfaces were simulated and compared to the experiments. Tested samples were analyzed by FEM and, results are discussed.
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Abbreviations
- A :
-
Interface area, m2
- C :
-
Concentration of reactants and product
- C g :
-
Dimensionless proportionality constant
- Cp :
-
Specific heat at constant pressure, J/kgK
- Ea :
-
Activation energy, J/s
- k :
-
Thermal conductivity tensor, W/mK
- K r :
-
Reaction constant
- L :
-
Transformation heat (pyrolysis or ablation), J/kg
- q :
-
Source term of energy per area unit at interface, W/m2
- q CO2 :
-
Combustion heat of CO2, J/kg
- q e :
-
Prescribed external heat flux, W/m2
- q g :
-
Rate of heat generation per unit mass of product at a temperature T, J/kg
- \({\dot{q}}_{g}\) :
-
Additional heat flux on the external surface, W/m2
- \({\dot{m}}_{g}\) :
-
Rate of product formation of the reaction per surface area, kg/m2s
- P:
-
Gas pressure, Pa
- Q :
-
Liquid heat exchange on interface, W
- R :
-
Gas constant, J/kgK
- t :
-
Time, s
- T :
-
Temperature, K
- \({T}_{F}\) :
-
Interface temperature, K
- \({T}_{\infty }\) :
-
External temperature, K
- V :
-
Interface velocity, m/s
- \({V}_{p}\) :
-
Recession velocity of the pyrolysis front, m/s
- x :
-
Point position in the coordinate system, m
- x F :
-
Interface position in the coordinate system, m
- \(\varepsilon\) :
-
Emissivity
- \(\delta\) :
-
Dirac delta, ranges from 0 to 1 depending of the point position in relation to interface
- \(\rho\) :
-
Specific mass, kg/m3
- \(\sigma\) :
-
Boltzmann constant, W/m2K4
- C:
-
Carbon
- O2 :
-
Oxygen
- CO2 :
-
Carbon dioxide
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Acknowledgements
Authors would like to thank the participants of the previous work [6], where most of the inspiration for this study was extracted from.
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Pesci, P.G.S., de Paula e Silva, H., Rita, C.C.P. et al. The effect of environment pressure in carbon–phenolic composite ablation. J Braz. Soc. Mech. Sci. Eng. 43, 500 (2021). https://doi.org/10.1007/s40430-021-03210-2
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DOI: https://doi.org/10.1007/s40430-021-03210-2