In all practical flow cases, the Reynolds numbers are sufficiently large that the flow is in fact turbulent. In supersonic flow, this turbulence introduces spatial and temporal scales, some of which are too small for a direct simulation of the Navier-Stokes equations.
can be envisaged, at least over a spatial domain of interest to practical applications. Some of the phenomena directly controlled by turbulence (mixing, combustion, etc.) need to be modeled. In the case of supersonic flow, specific modeling is required.
This article therefore presents the problems associated with turbulence and the associated modeling equations. Applications of combustion in supersonic flow will be presented in conclusion.
This article is the second and final part of a series devoted to Combustion in supersonic flow:
Readers are referred to the articles in the Applied Fluid Mechanics section of this treatise:
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