On the Flow of a Paramagnetic Fluid in a Differentially Heated Channel

Abstract

In the present study, we investigate the flow of a paramagnetic fluid in a two dimensional heated channel when an external magnetic gradient is imposed. In the fully developed regime, an analytical solution shows that a flow reversal may occur; the condition of this is given n terms of the Reynolds number. Numerical simulations are then carried out for more general situations. It is shown that the analytical model gives good qualitative predictions.

Keywords

• Paramagnetic fluid
• Flow reversal
• Channel flow
• Magnetohydrodynamics