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# Wall-Laws for High Speed Flows over Adiabatic and Isothermal Walls

Abstract : We present the extension of our wall-laws developed for low-speed flows to super and hypersonic configurations. In particular, we are interested in flows over isothermal walls and account for heat transfer. We recall the main steps of the development: - Obtention of generalized wall functions for low-speed fluids, valid for all $y^+$, - Taking into account transversal effects. - Accounting for the compressible feature of the flow on adiabatic walls without using informations on the local boundary layer structure but only those available at the fictitious wall. - Extension to isothermal walls. A posteriori evaluation of the heat flux at the real wall using informations at the fictitious one. - Only use informations available on unstructured meshes and avoid those coming from a cartesian hypothesis for the mesh in near-wall regions. These ingredients are validated on hypersonic configurations on adiabatic and isothermal walls for expansion and compression ramps as well as for reentry geometries.
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https://hal.inria.fr/inria-00072701
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, May 24, 2006 - 10:37:57 AM
Last modification on : Monday, April 22, 2019 - 8:26:05 PM
Long-term archiving on: : Sunday, April 4, 2010 - 11:19:04 PM

### Identifiers

• HAL Id : inria-00072701, version 1

### Citation

Bijan Mohammadi, Guillaume Puigt. Wall-Laws for High Speed Flows over Adiabatic and Isothermal Walls. [Research Report] RR-3948, INRIA. 2000. ⟨inria-00072701⟩

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