Heat Transfer in Chemically Reacting Mixtures. I

1957 ◽  
Vol 26 (2) ◽  
pp. 274-281 ◽  
Author(s):  
Joseph O. Hirschfelder
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.


1962 ◽  
Vol 66 (618) ◽  
pp. 387-393 ◽  
Author(s):  
Peter G. Simpkins

SummaryThis paper is intended as an introduction to the theory of ablative processes in a hypersonic environment. The various types of ablation are discussed and the general heat transfer equation for an ablating body is given. The effects of radiation are introduced and the physical significance of the gasification ratio is explained. Throughout the paper the effects of a chemically reacting boundary layer are ignored.


1980 ◽  
Vol 99 (2) ◽  
pp. 383-397 ◽  
Author(s):  
Y. L. Sinai

The low-frequency character of two model problems is exploited in order to illustrate the acoustic consequences of the interactions between chemically reacting (or relaxing) inhomogeneities and flames or constrictions in ducts. The monopole of the former is associated with heat transfer in a fluid which exhibits variations in its specific heats, while in the latter there is an extension of the classical phenomenon associated with the pulsations of an inhomogeneity of the fluid compressibility. This second mechanism is found to be insignificant, but the heat-conduction source is considered to be very powerful at sufficiently low Mach numbers; in fact, to first order it is independent of the flow Mach number for laminar, as well as a certain class of turbulent, flows.


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