Three-dimensional free-runnings of magnetohydrodynamic flows in canals

Abstract

The paper is concerned with magnetohydrodynamic flows of the viscous incompressible conducting liquid in canals at presence longitudinal magnetic field. The aim is to investigate the bifurcation and properties of three-dimensional free-runnings arising owing to the stability loss of the parallel symmetrical magnetohydrodynamic flows in canals. First the three-dimensional free-runnings of MHD-flows in canals have been calculated. First on base of exact solving hydrodynamics equation the example of arising the rotary motion owing to the hydrodynamic instability has been constructed. The results of the paper can be used for evaluating flow stability of the conducting liquids in MHD-devices, for formulation of initial data at performing natural or numerical experiment concerning with the laminar-turbulent transition. Area of application: non-linear stability theory of magnetohydrodynamic flows for viscous incompressible liquidAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio