Helically symmetric equilibria for some ideal and resistive MHD plasmas with incompressible flows  

作　　者：S.M.Moawad O.H.El-Kalaawy H.M.Shaker 

机构地区：[1]Mathematics and Computer Science Department,Faculty of Science,Beni-Suef University,Beni-Suef,Egypt [2]Future High Institute of Engineering in Fyoum,Ministry of High Education,Fyoum,Egypt

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2023年第2期192-209,共18页高校应用数学学报（英文版）（B辑）

摘　　要：In this paper, the problem of finding exact solutions to the magnetohydrodynamic(MHD) equations in the presence of incompressible mass flows with helical symmetry is considered. For ideal flows, a similarity reduction method is used to obtain exact solutions for several MHD flows with nonlinear variable Mach number. For resistive flows parallel to a magnetic field, the governing equilibrium equation is derived. The MHD equilibrium state of a helically symmetric incompressible flow is governed by a second-order elliptic partial differential equation(PDE) for the helical magnetic flux function. Exact solutions for the latter equation are obtained. Also, the equilibrium equations of a gravitating plasma with incompressible flow are derived.

关 键 词：MAGNETOHYDRODYNAMICS helical symmetry resistivity incompressible ows exact equilibria 

分 类 号：O361.3[理学—流体力学]