All Physics Faculty Publications

Document Type

Article

Journal/Book Title/Conference

Physical Review E

Volume

58

Issue

4

Publisher

American Physical Society

Publication Date

10-1998

First Page

5164

Last Page

5167

DOI

10.1103/PhysRevE.58.5164

Abstract

Inhomogeneous magnetic fields exert a body force on electrically nonconducting, diamagnetic fluids. This force can be used to compensate for gravity and to control convection. The field effect on convection is represented by a dimensionless vector parameter Rm=(μ0αχ0d3ΔT/ρ0νDT)(H⋅∇H)r=0ext, which measures the relative strength of the induced magnetic buoyancy force due to the applied field gradient. The vertical component of this parameter competes with the gravitational buoyancy effect and a critical relationship between this component and the Rayleigh number is identified for the onset of convection. Magnetically driven convection should be observable even in pure water using current technology.

Comments

http://link.aps.org/doi/10.1103/PhysRevE.58.5164

Published by American Physical Society in Physical Review E. Publisher PDF is available for download through the link above.