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Stability of a current‐carrying fluid with a free surface in a transverse magnetic field
dc.contributor.authorWang, Chung‐yien_US
dc.date.accessioned2010-05-06T22:17:02Z
dc.date.available2010-05-06T22:17:02Z
dc.date.issued1974-06en_US
dc.identifier.citationWang, Chung‐Yi (1974). "Stability of a current‐carrying fluid with a free surface in a transverse magnetic field." Physics of Fluids 17(6): 1177-1182. <http://hdl.handle.net/2027.42/70516>en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/70516
dc.description.abstractThe stability of a viscous, incompressible, electrically conducting fluid with a free surface in a transverse magnetic field is investigated. A horizontal layer of fluid is set in motion by the combined action of the horizontal electric current and a vertically imposed magnetic field. An eigenvalue problem is formulated for infinitesimal disturbances and is solved by the regular perturbation method. It is found that if the electromagnetic effects are sufficient to overcome the stabilizing effect of gravity, the flow is unstable. The instability is due to the stratification of electric conductivity and to the longitudinal Lorentz force. Topological features of the (c1)i(c1)i curves for various cases are depicted. The roles played by the electric current as well as the magnetic field on the stability of the flow system are discussed briefly.en_US
dc.format.extent3102 bytes
dc.format.extent418436 bytes
dc.format.mimetypetext/plain
dc.format.mimetypeapplication/pdf
dc.publisherThe American Institute of Physicsen_US
dc.rights© The American Institute of Physicsen_US
dc.titleStability of a current‐carrying fluid with a free surface in a transverse magnetic fielden_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Applied Mechanics and Engineering Science, The University of Michigan, Ann Arbor, Michigan 48104en_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/70516/2/PFLDAS-17-6-1177-1.pdf
dc.identifier.doi10.1063/1.1694862en_US
dc.identifier.sourcePhysics of Fluidsen_US
dc.identifier.citedreferenceC. S. Yih, in Proceedings of the Second U.S. National Congress of Applied Mechanics (American Society of Mechanical Engineers, New York, 1955), p. 623.en_US
dc.identifier.citedreferenceC. S. Yih, Phys. Fluids 6, 321 (1963).en_US
dc.identifier.citedreferenceT. B. Benjamin, J. Fluid Mech. 8, 551 (1957).en_US
dc.identifier.citedreferenceT. G. Cowling, Magnetohydrodynamics (Interscience, New York, 1967).en_US
dc.identifier.citedreferenceC. Y. Wang, Ph.D. thesis, University of Michigan (1972).en_US
dc.identifier.citedreferenceR. C. Lock, Proc. R. Soc. A 233, 105 (1955).en_US
dc.identifier.citedreferenceH. B. Squire, Proc. R. Soc. A 142, 621 (1933).en_US
dc.owningcollnamePhysics, Department of


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