Inviscid and viscous stationary waves of gas flow through contracting-expanding nozzles

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:248

Article

Hong, John M.²  Hsu, Cheng-Hsiung²  Liu, Weishi¹ 

[1] Univ Kansas, Dept Math, Lawrence, KS 66045 USA

[2] Natl Cent Univ, Dept Math, Chungli 32001, Taiwan

关键词: Gas flow;    Contracting-expanding nozzles;    Sub-to-super transonic waves;   

DOI  :  10.1016/j.jde.2009.06.016

来源: Elsevier

【 摘 要 】

In this work we study steady states of one-dimensional viscous isentropic compressible flows through a contracting-expanding nozzle. Treating the viscosity coefficient as a singular parameter, the steady-state problem can be viewed as a singularly perturbed system. For a contracting-expanding nozzle, a complete classification of steady states is given and the existence of viscous profiles is established via the geometric singular perturbation theory. Particularly interesting is the existence of a maximal sub-to-super transonic wave and its role in the formation of other complicated transonic waves consisting of a sub-to-super portion. Published by Elsevier Inc.

【 授权许可】

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