Abstract

The study of shock wave structure generated by small bumps in pipe has great significance in engineering applications such as ramjet design and maintenance. In this paper, the transonic and supersonic inviscid steady flow in a two-dimensional pipe with a bump on one side of the wall or symmetrical bumps on both sides is solved based on a simplified form of modified small disturbance equation (MSD). Gauss-Seidel method is used for iteration. Then the shock wave structure in transonic and supersonic case is analyzed. The paper points out the typical characteristics of shock waves generated in pipe such as normal shock wave, oblique shock wave, λ-shaped shock wave and Mach disk. The calculation method is efficient and simple to implement, enabling rapid prediction of shock wave structure and providing reference for the analysis of flow in pipes.

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