| Abstract: |
| We study supersonic reacting jet flows from a three dimensional (3D) divergent conical nozzle. The flow is governed by 3D steady Zeldovich-von Neumann-D\oring combustion equations with cylindrical symmetry and that the state of the flow is given at the inlet of the nozzle. When the nozzle is surrounded by a vacuum, a global continuous and piecewise smooth supersonic reacting jet flow expanding into the vacuum from the nozzle is obtained. When the nozzle is surrounded by a static atmosphere with a lower pressure than the pressure of the flow at the exit of the nozzle, we obtained a local continuous and piecewise smooth supersonic reacting jet flow expanding into the atmosphere from the nozzle. Moreover, an explanation for the formation of intercepting shocks in supersonic jets expanding into a lower pressure environment is shown, which is stated in the book Supersonic Flow and Shock Waves and is verified by physical experiments. The flow patterns constructed in the paper may be used as background solutions for more general supersonic jet flow problems.
This work is jointed with Prof. G.Lai. |
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