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Journal of Porous Media
IF: 1.752 5-Year IF: 1.487 SJR: 0.43 SNIP: 0.762 CiteScore™: 2.3

ISSN Print: 1091-028X
ISSN Online: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v16.i12.60
pages 1133-1146

ANALYSIS OF THE CYLINDRICAL MAGNETIC COUETTE FLOW IN A RADIALLY MAGNETIZED THIN POROUS ANNULUS

Kong-Fue Lin
Department of Vehicle Engineering, National Pingtung University of Science and Technology, Taiwan, ROC
Jik-Chang Leong
Department of Vehicle Engineering, National Pingtung University of Science and Technology, Taiwan, ROC

ABSTRACT

This work seeks the steady-state solution for a magnetic fluid filling a thin porous annulus between two moving cylindrical walls under the influence of a radially outward magnetic field. The cylinders were either perfectly insulated or perfectly conducting. Current results show that there will be an invariant point independent of the strength of magnetic and flow fields if both cylinders are insulated. This point may shift toward the inner cylinder as the permeability increases. When the inner cylinder is insulated while the outer one is perfectly conducting, the velocity close to the inner cylinder decreases with the strength of the external magnetic field. At the same time, a reverse flow is found close to the outer cylinder after being pushed by its local clockwise Lorentz force. When the inner cylinder is perfectly conducting and the outer cylinder is insulated, the current density surrounding the inner cylinder reduces while that next to the outer cylinder increases. This leads to a special phenomenon where the magnetic fluid actually flows faster as the strength of the external magnetic field increases.


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