Steady incompressible axially symmetric Réthy flows

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

5 Scopus Citations
View graph of relations

Author(s)

Related Research Unit(s)

Detail(s)

Original languageEnglish
Pages (from-to)4627-4669
Journal / PublicationNonlinearity
Volume33
Issue number9
Online published22 Jul 2020
Publication statusPublished - Sep 2020

Abstract

In this paper, we are concerned with a jet and a cavity issuing from a semi-infinite long nozzle around a given obstacle in the axially symmetric case, which is called the axially symmetric incompressible Réthy flow. The existence and uniqueness of the axially symmetric Réthy flow are obtained via a variational approach when the nozzle and the obstacle are y-graphs and a mass flux at the inlet of the nozzle is given. This is the first result on the existence of axially symmetric flow with two free boundaries, which can be either jet or cavity. In order to show the existence, we develop a new method to show the vanishing and non-vanishing of the free boundaries by employing carefully the variational structures and the decay rate of the asymptotic behaviours of the solutions at the downstream.

Research Area(s)

  • axially symmetric Réthy flow, incompressible, free boundary, variational, existence and uniqueness

Citation Format(s)

Steady incompressible axially symmetric Réthy flows. / Cheng, Jianfeng; Du, Lili; Xiang, Wei.

In: Nonlinearity, Vol. 33, No. 9, 09.2020, p. 4627-4669.

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