Accession Number : AD0428563


Title :   A GENERAL METHOD FOR NUMERICAL INTEGRATION THROUGH A SADDLE-POINT SINGULARITY WITH APPLICATION TO ONE-DEMENSIONAL NONEQUILIBRIUM NOZZLE FLOW


Descriptive Note : Final rept.


Corporate Author : STANFORD UNIV CA DEPT OF AERONAUTICS AND ASTRONAUTICS


Personal Author(s) : Emanuel, George


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/428563.pdf


Report Date : Jan 1964


Pagination or Media Count : 47


Abstract : A method for integrating numerically through a saddle-point singularity of an ordinary differential equation is presented. The solution of the differential equation is assumed to depend also on the value of a parameter, such as the mass flow. The method is thus applicable to a wide assortment of gas-dynamic problems including one-dimensional nonequilibrium nozzle flow and two-phase nozzle flow. Specific application is made to nonequilibrium nozzle flow, and the results of this application are presented and discussed. The method proved to be numerically accurate without requiring an exceedingly precise estimate for the critical mass flow. The work also includes a modification of a method for calculating approximate equilibrium nozzle flows. (Author)


Descriptors :   *NOZZLE GAS FLOW , MATHEMATICAL MODELS , NUMERICAL INTEGRATION , PARTIAL DIFFERENTIAL EQUATIONS , DIFFERENTIAL EQUATIONS , NOZZLES , HYPERSONIC WIND TUNNELS , HYPERSONIC FLOW , ONE DIMENSIONAL FLOW , FROZEN EQUILIBRIUM FLOW


Subject Categories : Fluid Mechanics
      Numerical Mathematics


Distribution Statement : APPROVED FOR PUBLIC RELEASE