Nonequilibrium blunt-body flow using the method of integral relations

Abstract

Abstract : Extension of the method of integral relations to the problem of chemical coupling in nonequilibrium flow past axisymmetric blunt body was made. The method is direct in contrast to the inverse technique in which a shock shape is prescribed and the body shape is implied. Choice of the integral method for nonequilibrium flows appears logical in view of its success for the perfect gas blunt body problem and the inherent advantages of a direct method. For the first approximation, no additional assumptions beyond those already made for the perfect gas problem prove to be required. In principle, only an additional statement as to the conservation of each reacting species is necessary for nonequilibrium. Solutions for flow past a sphere for the first approximation using a five component gas model composed of N2, O2, N, O and NO are presented to show the variation of flow properties along the axial streamline and body surface. The pressure is rather insensitive to finite rate processes while other flow properties such as the temperature, density, and species concentrations prove quite sensitive to nonequilibrium effects. In particular, the concentration of NO shows a maximum along the stagnation streamline in the nonequilibrium situation which is not apparent from identically equilibrium solutions. (Author)