A Condition of Boundary Layer Separation for 2-D Incompressible Magnetohydrodynamic Equations
Received:February 18, 2022  Revised:June 26, 2022
Key Words: Boundary layer separation   Magnetohydrodynamic equations   Incompressible flow   Structural bifurcation  
Fund Project:Supported by the National Natural Science Foundation of China (Grant No.12171343) and the Scientific Research Fund of the Science and Technology Department of Sichuan Province (Grant No.22CXTD0029).
Author NameAffiliation
Biyan HU School of Mathematical Sciences, Sichuan Normal University, Sichuan 610068, P. R. China 
Kailun HU School of Mathematical Sciences, Sichuan Normal University, Sichuan 610068, P. R. China 
Hong LUO School of Mathematical Sciences, Sichuan Normal University, Sichuan 610068, P. R. China 
Hits: 44
Download times: 56
Abstract:
      In this paper, we consider the solutions of 2-D incompressible magnetohydrodynamic (MHD) equations with homogenous Dirichlet boundary condition for velocity and with nonhomogenous Dirichlet boundary condition for magnetic field. We obtain a condition of boundary layer separation by Taylor expansion of functions in the MHD equations and by structural bifurcation theory for divergence free flows with Dirichlet boundary conditions. Furthermore, the condition, determined by external forces, initial values and the value of magnetic field on the boundary, can predict when and where boundary layer separation for the magnetic fluid will occur.
Citation:
DOI:10.3770/j.issn:2095-2651.2023.01.012
View Full Text  View/Add Comment  Download reader