Supersonic Gas-Solid Particle Flow in an Axisymmetric Nozzle by the Method of Characteristics.

摘要

A study was conducted to numerically treat a mixture composed of a gas and solid particles in a supersonic,axisymmetric nozzle. The governing equations are a set of eight first order,quasi-linear,partial differential equations. Seven of these equations are of the hyperbolic type when the flow is supersonic (based on the frozen speed of sound in the gas) and can be solved by the method of characteristics. The eighth equation (the particle continuity equation) is rewritten as an integral equation to be solved. The resulting seven compatibility equations and the seven characteristic equations (only four are distinct;the two gas Mach lines and the gas and particle streamlines) are solved by the modified Euler predictor-corrector algorithm. These equations were programmed for an IBM 1130computer. A sample nozzle calculation is given and compared with the one-dimensional calculations. These results indicate that the program is working correctly. (Author)