Transonic shock solutions of the steady Euler flow in quasi-one-dimensional convergent nozzles

In this paper, we investigate the global well-posedness and stability of steady supersonic Euler flows in a quasi-one-dimensional convergent nozzle. First, we show that there exists a critical nozzle length L1, the global well-posedness of steady supersonic flows can be obtained and the explicit solution is given as long as the nozzle length L < L1. Then we prove the global stability of steady supersonic flows under small perturbations of initial-boundary values by wave decomposition.

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Transonic shock solutions of the steady Euler flow in quasi-one-dimensional convergent nozzles

Cited by 2 publications

References 35 publications

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Effects of eccentricity in tube–pod arrangements on hyperloop aerodynamics

Global stability of supersonic Euler flows in quasi-one-dimensional convergent nozzles

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