Physics – Fluid Dynamics
Scientific paper
2009-01-06
Phys. Fluids 21, 097102 (2009)
Physics
Fluid Dynamics
minor changes, accepted for PoF, 26 pages, 7 figures
Scientific paper
10.1063/1.3231833
Analogies are elaborated in the qualitative description of two systems: the magnetohydrodynamic (MHD) flow moving through a region where an external local magnetic field (magnetic obstacle) is applied, and the ordinary hydrodynamic flow around a solid obstacle. The former problem is of interest both practically and theoretically, and the latter one is a classical problem being well understood in ordinary hydrodynamics. The first analogy is the formation in the MHD flow of an impenetrable region -- core of the magnetic obstacle -- as the interaction parameter $N$, i.e. strength of the applied magnetic field, increases significantly. The core of the magnetic obstacle is streamlined both by the upstream flow and by the induced cross stream electric currents, like a foreign insulated insertion placed inside the ordinary hydrodynamic flow. In the core, closed streamlines of the mass flow resemble contour lines of electric potential, while closed streamlines of the electric current resemble contour lines of pressure. The second analogy is the breaking away of attached vortices from the recirculation pattern produced by the magnetic obstacle when the Reynolds number $Re$, i.e. velocity of the upstream flow, is larger than a critical value. This breaking away of vortices from the magnetic obstacle is similar to that occurring past a real solid obstacle. Depending on the inlet and/or initial conditions, the observed vortex shedding can be either symmetric or asymmetric.
Kassinos Stavros Chistofer
Votyakov Evgeny V.
No associations
LandOfFree
On the analogy between streamlined magnetic and solid obstacles does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On the analogy between streamlined magnetic and solid obstacles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the analogy between streamlined magnetic and solid obstacles will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-632752