An inverse method for real-time estimation of aerothermal heating for thermal protection systems of space vehicles

•Measuring surface heat flux of ITPS in space vehicles is challenging.•A novel near real-time approach for solving IHCP associated with ITPS is developed.•The approach developed uses temperature data from internal layers.•The impact of sensor location on the solution is investigated.•The effect of t...

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Veröffentlicht in:International journal of heat and mass transfer Jg. 177; S. 121482
Hauptverfasser: Uyanna, Obinna, Najafi, Hamidreza, Rajendra, Bhuvaneswari
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Oxford Elsevier Ltd 01.10.2021
Elsevier BV
Schlagworte:
Algorithms
Atmospheric entry
Atmospheric models
Conduction heating
Conductive heat transfer
Digital filter
Heat
Heat flux
Heat flux estimation
Industrial applications
Inverse heat conduction problem (IHCP)
Inverse method
Material properties
Real time operation
Regularization
Regularization methods
Reusable launch vehicles
Space vehicles
System effectiveness
Temperature dependence
Temperature effects
Thermal protection
Thermal protection systems (TPS)
Digital filter
Inverse heat conduction problem (IHCP)
Heat flux estimation
Reusable launch vehicles
Thermal protection systems (TPS)
ISSN:0017-9310, 1879-2189
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Zusammenfassung:•Measuring surface heat flux of ITPS in space vehicles is challenging.•A novel near real-time approach for solving IHCP associated with ITPS is developed.•The approach developed uses temperature data from internal layers.•The impact of sensor location on the solution is investigated.•The effect of temperature dependent material properties on the solution is explored. Space vehicles experience extremely high aerothermal heating during atmospheric entry which necessitates the use of appropriate thermal protection system (TPS). Effective design of TPS and the health monitoring systems (HMS) for space vehicles requires accurate flight data during atmospheric entry process. While direct measurement of the surface heat flux is a very challenging task, an alternative approach is to use the measured temperature values from the inner layers and solve the associated inverse heat conduction problem (IHCP) in order to estimate the surface heat flux. In the present paper, a solution approach is developed based on filter form of Tikhonov regularization method for near real-time calculation of surface heat flux in a one-dimensional medium consists of three layers that represents an integrated thermal protection system (ITPS). The solution is evaluated through numerical test cases developed in ANSYS and using experimental data from the literature. A parametric study is also conducted in order to understand the effect of sensor location (two layers and three layers models) as well as the effect of temperature dependent material properties on the performance of the solution. It is found that the developed solution estimates the surface heat flux with an average RMS error of about 1.96 and 3.44% for the two layer models with constant and temperature dependent material properties respectively. For the three layer model, the average RMS values are found for the constant and temperature dependent material properties as 2% and 4.44% respectively. It is also shown that the developed solution can evaluate the surface heat flux with 17  and 80 s delay for the two and three layers domain respectively, facilitating a near-real time operation for the inverse solution algorithm that can support the development of HMS for space vehicles or other industrial applications with the need for heat flux monitoring. The proposed solution technique is fast, accurate and very convenient to implement even for complex problems involving large temperature variations and temperature dependent material properties.
Bibliographie:ObjectType-Article-1
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ISSN:0017-9310
1879-2189
DOI:10.1016/j.ijheatmasstransfer.2021.121482