Navier-Stokes solutions for chemical laser flows

A third generation of supersonic diffusion chemical laser analysis is introduced, namely, the complete solution of the Navier-Stokes equations for the supersonic mixing flowfield, fully coupled with chemical kinetics for both the hot and cold reactions for HF. Results are obtained for laminar-flow conditions and show that such Navier-Stokes solutions are feasible for studying specific cases of interest. A comparison is made between cold flows (chemical kinetics switched off) and hot flows (with fully coupled chemical kinetics). The results show that temperature distributions are affected the most and velocity distributions the least by chemical energy heat release. The results have impact on the interpretation of cold-flow aerodynamic experiments in the laboratory, and their proper extrapolation to the real chemical-laser flows. Also, comparisons between the present Navier-Stokes results and other, more approximate, existing calculations, are made. Advantages of the Navier-Stokes solutions are delineated.

[1]  N. Cohen A Review of Rate Coefficients for Reactions in the H2-F2 Laser System. , 1971 .

[2]  Otis A. Farmer,et al.  Numerical method for two-dimensional steady-state chemical laser calculations , 1977 .

[3]  J. Anderson,et al.  Gasdynamic Lasers: An Introduction , 1976 .

[4]  R. Courant,et al.  Über die partiellen Differenzengleichungen der mathematischen Physik , 1928 .

[5]  W. D. Adams,et al.  RESALE-1: A Chemical Laser Computer Program. , 1972 .

[6]  John D. Anderson,et al.  A Computer Program for CO2-N2-H2O Gasdynamic Laser Gain and Maximum Available Power, , 1971 .

[7]  A. Baker Predictions in Environmental Hydrodynamics Using the Finite Element Method I. Theoretical Development , 1975 .

[8]  R. Tripodi,et al.  Coupled Two-Dimensional Computer Analysis of CW Chemical Mixing Lasers , 1974 .

[9]  H. Schlichting Boundary Layer Theory , 1955 .

[10]  H. Mirels,et al.  Flame-Sheet Analysis of C. W. Diffusion-Type Chemical Lasers, I. Uncoupled Radiation , 1972 .

[11]  J. Anderson,et al.  A Time-Dependent Analysis for Vibrational and Chemical Nonequilibrium Nozzle Flows , 1969 .

[12]  W. C. Rivard,et al.  RICE: a computer program for multicomponent chemically reactive flows at all speeds , 1974 .

[13]  R. Reid,et al.  The Properties of Gases and Liquids , 1977 .

[14]  T. Teichmann,et al.  Introduction to physical gas dynamics , 1965 .

[15]  P. J. O'rourke,et al.  A numerical method for two dimensional unsteady reacting flows , 1977 .

[16]  R. Brokaw Alignment Charts for Transport Properties Viscosity, Thermal Conductivity, and Diffusion Coefficients for Nonpolar Gases and Gas Mixtures at Low Density , 1961 .

[17]  William S. King,et al.  Numerical study of a diffusion-type chemical laser. [HF] , 1972 .

[18]  G. Grohs Chemical laser cavity mixing and turbulence , 1976 .

[19]  G. Moretti,et al.  A time-dependent computational method for blunt body flows. , 1966 .