Assessment of continuum breakdown for high-speed chemically reacting wake flows

Author(s):  
Sharanya Subramaniam ◽  
Krishnan Swaminathan Gopalan ◽  
Kelly A. Stephani
Author(s):  
Alexander M. Molchanov ◽  
Anna A. Arsentyeva

An implicit fully coupled numerical method for modeling of chemically reacting flows is presented. Favre averaged Navier-Stokes equations of multi-component gas mixture with nonequilibrium chemical reactions using Arrhenius chemistry are applied. A special method of splitting convective fluxes is introduced. This method allows for using spatially second-order approximation in the main flow region and of first-order approximation in regions with discontinuities. To consider the effects of high-speed compressibility on turbulence the author suggests a correction for the model, which is linearly dependent on Mach turbulent number. For the validation of the code the described numerical procedures are applied to a series of flow and heat and mass transfer problems. These include supersonic combustion of hydrogen in a vitiated air, chemically reacting flow through fluid rocket nozzle, afterburning of fluid and solid rocket plumes, fluid dynamics and convective heat transfer in convergent-divergent nozzle. Comparison of the simulation with available experimental data showed a good agreement for the above problems.


Author(s):  
R C Mehta

Reacting flowfields are described by compressible turbulent Reynolds-averaged Navier-Stokes equations augmented with appropriate species continuity equations that provide for the convection, diffusion and production of each chemical species. The closure of the system of equations is achieved using a two-equation turbulence model. A single-step overall fast chemical reaction combustion model based on the eddy break-up concept is employed for the turbulence-chemistry interaction. A finite volume discretization is carried out in spatial coordinates to compute inviscid and viscous flux vectors. A multistage Runge-Kutta time-stepping scheme is used to obtain a steady state solution. The numerical algorithm is developed by taking into consideration the structured grid arrangement for a turbulent chemically reacting coaxial jet. The numerical scheme is shown to be computationally fact, easy to program and efficient. A supersonic diffusion flame is analysed and the results are compared with the available experimental data.


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