Turbulent Mixing of a Rocket Exhaust Jet With a Supersonic Stream Including Chemical Reactions

作者: JOHN VASILIU

DOI: 10.2514/8.9298

关键词: Finite differenceDimensionless quantityStream functionJet (fluid)MechanicsMixing (physics)PhysicsThermal conductionBoundary value problemSupersonic speed

摘要: The equations for the turbulent mixing of a two-dimensional supersonic jet issuing into an ambient stream are formulated. Both streams consist mixture chemically active and possibly reacting gases, therefore any heat release by chemical reaction is included; net mass rate production species obtained on assumption that constant given expression reducible to classical Arrhenius law. first in terms x, y coordinates, expressed dimensionless form % \p where function. resulting expressions all "heat conduction" type; they put finite difference using Crank-Nicolson method substituting approximations both " t ime" "space" derivatives. assumed six species, namely H 20. H2, 02 , C02 CO, N2, oxidation H2 CO take place according single-step reaction. solution problem based simultaneous 87V linear algebraic 8N unknowns, N being number internal grid points at every step ^-direction, 8 total unknowns each point, velocity, temperature, concentration species. A obtaining initial boundary conditions from available viscid flow solutions discussed. programed calculation IBM-704 computer. Finally, one typical case considered, plots profiles he stages development layer.

参考文章(7)
R. F. KRAMER, H. M. LIEBERSTEIN, Numerical Solution of the Boundary-Layer Equations Without Similarity Assumptions Journal of the Aerospace Sciences. ,vol. 26, pp. 508- 514 ,(1959) , 10.2514/8.8169
S. I. PAI, Laminar Jet Mixing of Two Compressible Fluids with Heat Release Journal of the Aeronautical Sciences. ,vol. 23, pp. 1012- 1018 ,(1956) , 10.2514/8.3714
FRANK E. MARBLE, THOMAS C. ADAMSON, Ignition and combustion in a laminar mixing zone Journal of Jet Propulsion. ,vol. 24, pp. 85- 94 ,(1954) , 10.2514/8.6461
E. R. VAN DRIEST, Turbulent Boundary Layer in Compressible Fluids Journal of Spacecraft and Rockets. ,vol. 40, pp. 1012- 1028 ,(2003) , 10.2514/2.7048
J. Crank, P. Nicolson, A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type Mathematical Proceedings of the Cambridge Philosophical Society. ,vol. 43, pp. 50- 67 ,(1947) , 10.1017/S0305004100023197