Compressible subsonic jet flows issuing from a nozzle of arbitrary cross-section

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalNot applicablepeer-review

2 Scopus Citations
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Detail(s)

Original languageEnglish
Pages (from-to)5318-5359
Journal / PublicationJournal of Differential Equations
Volume266
Issue number9
Online published5 Nov 2018
Publication statusPublished - 15 Apr 2019

Abstract

We are concerned with the well-posedness theory of two-dimensional compressible subsonic jet flow issuing from a semi-infinitely long nozzle of arbitrary cross-section. Given any atmospheric pressure p0, we show that there exists a critical mass flux mcr depending on p0 and Ω such that if the incoming mass flux m0 is less than the critical value, then there exists a unique smooth subsonic jet flow, issuing from the given nozzle. The jet boundary is a free streamline, which initiates from the end point of the nozzle smoothly and extends to the infinity. One of the key observations in this paper is that the restriction of the incoming mass flux guarantees completely the subsonicity of the compressible jet in the whole flow field, which coincides with the observation on the compressible subsonic flows in an infinitely long nozzle without free boundary in [8].

Research Area(s)

  • Euler system, Existence, Free boundary, Subsonic jet, Uniqueness