Theoretical analysis of quasi-one-dimensional compressible magnetohydrodynamic channel flow

作者：

Highlights：

• The dimensionless dynamical system for compressible MHD channel flow is derived.

• A new magnetic interaction number N is obtained by choosing a length scale that characterizes the variation rate of the cross-sectional area.

• The theoretical analysis yields five critical values of N that affect the variation characteristics of Mach number and velocity.

• Eight equivalence classes of phase plane are formed through isomorphism of labeled graphs.

摘要

•The dimensionless dynamical system for compressible MHD channel flow is derived.•A new magnetic interaction number N is obtained by choosing a length scale that characterizes the variation rate of the cross-sectional area.•The theoretical analysis yields five critical values of N that affect the variation characteristics of Mach number and velocity.•Eight equivalence classes of phase plane are formed through isomorphism of labeled graphs.

论文关键词：Magnetohydrodynamics,Nonlinear dynamical systems,Phase plane,Labeled graph

论文评审过程：Received 24 February 2021, Revised 23 June 2021, Accepted 2 July 2021, Available online 15 July 2021, Version of Record 15 July 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126500