Transonic Potential Flows in A Convergent – Divergent Approximate Nozzle

@inproceedings{Yuan2008TransonicPF,
  title={Transonic Potential Flows in A Convergent – Divergent Approximate Nozzle},
  author={Hairong Yuan and Yue He},
  year={2008}
}
In this paper we prove existence, uniqueness and regularity of certain perturbed (subsonic–supersonic) transonic potential flows in a two-dimensional Riemannian manifold with “convergent–divergent” metric, which is an approximate model of the de Laval nozzle in aerodynamics. The result indicates that transonic flows obtained by quasi-one-dimensional flow model in fluid dynamics are stable with respect to the perturbation of the velocity potential function at the entry (i.e., tangential velocity… CONTINUE READING

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