A Coupled Two-Domain Approach for Transpiration Cooling

König, Valentina; Rom, Michael; Müller, Siegfried

doi:10.1007/978-3-030-53847-7_2

Cited by 4 publications

(3 citation statements)

References 22 publications

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“…Alternative detailed injection models are based on turbulence modeling, heuristic considerations, and direct numerical simulations. 14,[21][22][23]…”

Section: Transpiration Coolingmentioning

confidence: 99%

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Probabilistic constrained Bayesian inversion for transpiration cooling

Steins

Bui‐Thanh²,

Herty

et al. 2022

Numerical Methods in Fluids

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To enable safe operations in applications such as rocket combustion chambers, the materials require cooling to avoid material damage. Here, transpiration cooling is a promising cooling technique. Numerous studies investigate possibilities to simulate and evaluate the complex cooling mechanism. One naturally arising question is the amount of coolant required to ensure a safe operation. To study this, we introduce an approach that determines the posterior probability distribution of the Reynolds number using an inverse problem and constraining the maximum temperature of the system under parameter uncertainties. Mathematically, this chance inequality constraint is dealt with by a generalized polynomial chaos expansion of the system. The posterior distribution will be evaluated by different Markov chain Monte Carlo based methods. A novel method for the constrained case is proposed and tested among others on two‐dimensional transpiration cooling models.

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“…Alternative detailed injection models are based on turbulence modeling, heuristic considerations, and direct numerical simulations. 14,[21][22][23]…”

Section: Transpiration Coolingmentioning

confidence: 99%

“…In the following sections, we also focus on the interaction of the coolant with the temperature to allow for the treatment of, for example, temperature constraints. Alternative detailed injection models are based on turbulence modeling, heuristic considerations, and direct numerical simulations 14,21‐23 …”

Section: Introductionmentioning

confidence: 99%

Probabilistic constrained Bayesian inversion for transpiration cooling

Steins

Bui‐Thanh²,

Herty

et al. 2022

Numerical Methods in Fluids

Self Cite

View full text Add to dashboard Cite

show abstract

“…Alternative detailed injection models are based on turbulence modeling, heuristic considerations, and DNS simulations. [21,22,14,23].…”

Section: Introductionmentioning

confidence: 99%

Probabilistic Constrained Bayesion Inversion for Transpiration Cooling

Steins¹,

Bui-Thanh²,

Herty³

et al. 2022

Preprint

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To enable safe operations in applications such as rocket combustion chambers, the materials require cooling to avoid material damage. Here, transpiration cooling is a promising cooling technique. Numerous studies investigate possibilities to simulate and evaluate the complex cooling mechanism. One naturally arising question is the amount of coolant required to ensure a safe operation. To study this, we introduce an approach that determines the posterior probability distribution of the Reynolds number using an inverse problem and constraining the maximum temperature of the system under parameter uncertainties. Mathematically, this chance inequality constraint is dealt with by a generalized Polynomial Chaos expansion of the system. The posterior distribution will be evaluated by different Markov Chain Monte Carlo based methods. A novel method for the constrained case is proposed and tested among others on two-dimensional transpiration cooling models.

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An Effective Model for the Simulation of Transpiration Cooling

Müller,

Rom

2023

Commun. Appl. Math. Comput.

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Transpiration cooling is numerically investigated, where a cooling gas is injected through a carbon composite material into a hot gas channel. To account for microscale effects at the injection interface, an effective problem is derived. Here, effects induced by microscale structures on macroscale variables, e.g., cooling efficiency, are taken into account without resolving the microscale structures. For this purpose, effective boundary conditions at the interface between hot gas and porous medium flow are derived using an upscaling strategy. Numerical simulations in 2D with effective boundary conditions are compared to uniform and non-uniform injection. The computations confirm that the effective model provides a more efficient and accurate approximation of the cooling efficiency than the uniform injection.

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A Coupled Two-Domain Approach for Transpiration Cooling

Cited by 4 publications

References 22 publications

Probabilistic constrained Bayesian inversion for transpiration cooling

Probabilistic constrained Bayesian inversion for transpiration cooling

Probabilistic Constrained Bayesion Inversion for Transpiration Cooling

An Effective Model for the Simulation of Transpiration Cooling

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