Liquid propellant combustion waves

Abstract

Design of efficient and stable combustors depends on accurate analysis of flowfields. In the present study, we examine combustion waves aIlSIng from hydrogen-air reactions In the scramjet flame holders with various ramp angles. TWo-iltep Taylor-Galerkin finite element methods are used to solve the Navier-Stokes system of equations. Fluctuation quantities are calculated from the Navier-Stokes solution as a function of time. From these data we determine the energy growth rate parameters and energy growth factors using the entropy--controlled instability (ECI) method. NOMENCLATURE c p specific heat at constant pressure B Body force vector d % disturbance from mean pressure D mass diffusivity e internal energy density E stagnation energy fki body force Fj convective flux vector Gj dissipative vector Hk total enthalpy p pressure R gas constant S entropy T temperature U Time dependent variable vector Vi velocity wk reaction rate Yk mass fraction * Graduate Research Assistant ** UA System Distinguished Professor energy growth rate parameters of first order, second order, and third order, respectively 1 specific heat ratio f energy growth factor A thermal conductivity J.t viscosity p density (Jij total stress tensor T ij viscous stress tensor W frequency Subscripts and Superscripts fluctuation time averaged mean quantity reference state