Abstract
A finite difference method has been developed for the solution of turbulent tube flows of effectively binary, ideal gas mixtures undergoing equilibrium or nonequilibrium chemical reactions, and with mass injection at the tube wall. Axial diffusion of mass species, momentum and thermal energy are neglected in order to yield parabolic governing conservation equations. The van Driest formulation for the eddy diffusivity has been extended to include the effects of variable properties and surface mass transfer. Computational procedures have been developed for incorporating the eddy diffusivity model into turbulent flow calculations for both internal and external boundary layer flows. The overall numerical method has been applied to flows of non-reacting air, equilibrium mixtures of N 2O 4 and NO 2, and nonequilibrium mixtures of NO 2, NO and O 2, with O 2 injection through the tube wall. Results are reported here for pressure drop, skin friction coefficient: surface heat flux and species mass transfer conductances; the agreement with available experimental data is satisfactory. The present method is demonstrated to be a significant advance over methods previously used to analyze chemically reacting turbulent tube flows.
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