Motion of a Current Element Through a Fluid of Low Electrical Conductivity

Author: MacGillivray, Dean

Year: 1960

Degree: Dissertation (Ph.D.)

Advisor: Cole, Julian D.

Committee Member: Unknown, Unknown

Option: Aeronautics

DOI: 10.7907/B0AW-TR02

Abstract

Two-dimensional flow of an incompressible, viscous, electrically conducting fluid past a current element is studied. A solution in the form of an asymptotic development is obtained, valid as a certain dimensionless parameter (essentially the product of the electrical conductivity and the current) tends to zero. An expression for the drag on the current element is computed, and is found to be independent of viscosity.

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