An effective model for the simulation of transpiration cooling. (English) Zbl 07902385
Summary: 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.
MSC:
| 76G25 | General aerodynamics and subsonic flows |
| 76M50 | Homogenization applied to problems in fluid mechanics |
| 76N99 | Compressible fluids and gas dynamics |
Keywords:
transpiration cooling; Darcy-Forchheimer flow; multiscale modeling; effective boundary conditionsSoftware:
deal.iiReferences:
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