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The problem of flow of a thin layer of an incompressible magnetic liquid with a given dependence of the magnetization on the magnetic field strength is analytically solved in the… Click to show full abstract
The problem of flow of a thin layer of an incompressible magnetic liquid with a given dependence of the magnetization on the magnetic field strength is analytically solved in the lubrication theory approximation in the case of inhomogeneous magnetic field. A partial differential equation that describes time variation in the layer shape is obtained. The general formulation of the problem is considered. The solution of the problem of the behavior of a thin magnetic liquid layer in the magnetic field of a vertical infinite cylindrical conductor carrying a given sufficiently heavy electric current is written.
Journal Title: Fluid Dynamics
Year Published: 2019
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