Abstract
The effects of a background uniform rotating magnetic field acting in a conducting fluid with a parallel flow are studied analytically. The stationary version with a transversal magnetic field is well known as generating Hartmann boundary layers. The Lorentz force includes now one term depending on the rotation speed and the distance to the boundary wall. As one intuitively expects, the rotation of magnetic field lines pushes backwards or forwards the flow. One consequence is that near the wall the flow will eventually reverse its direction, provided the rate of rotation and/or the magnetic field are large enough. The configuration could also describe a fixed magnetic field and a rotating flow.
Highlights
In 1, a generalization of the Hartmann flow was announced
The Hartmann flow is a parallel one influenced by a strong transversal magnetic field 2, 3 and has been studied intensively for its role in many aspects of plasma physics, such as liquid metal pumping 4, 5, plasma convection 6, 7, and geophysics 8
A generalization of the classical Hartmann flow is obtained when we pose a background uniform magnetic field rotating in time
Summary
In 1 , a generalization of the Hartmann flow was announced. The Hartmann flow is a parallel one influenced by a strong transversal magnetic field 2, 3 and has been studied intensively for its role in many aspects of plasma physics, such as liquid metal pumping 4, 5 , plasma convection 6, 7 , and geophysics 8. This field will create a secondary one b, it is assumed that all the terms in b may be neglected when an analogous one for B is present; |u × b| |u × B|, |b | |B |. The interpretation is rather easy; as the magnetic field lines rotate at angular velocity θ, their linear velocity grows linearly with the radius y. This has the undesirable effect of providing infinite energy to the flow, but this should not deter us from studying the model. Φ must satisfy at the walls the same conditions as u
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
