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Published June 3, 2014 | Submitted
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Stability of a conducting fluid flowing down an inclined plane in a magnetic field

Hsieh, Din-Yu

Abstract

A stability analysis is made for the laminar flow of a layer of a viscous and electrically conducting fluid down an inclined plane in a transverse magnetic field. It is found that the effect of the magnetic field, revealed through the Hartmann number, is to stabilize the flow. A simpler and physically clearer approximate treatment of the same problem based on the principle of local balance is also given. The results agree quite satisfactorily with the exact analysis.

Additional Information

Office of Naval Research Department of the Navy Contract Nonr-200(28). Report No. 85-29. Approved by M. S. Plesset.

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Submitted - Report_No._85-29.pdf

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Created:
August 19, 2023
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October 26, 2023