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Asymmetric fluid flow in a hemispherical container induced by electromagnetic forces

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Summary

The flow of incompressible fluid in a hemispherical container induced by a distributed source of current and a superimposed uniform magnetic field, applied perpendicular to the axis of symmetry of the hemisphere, is investigated. A series solution is developed when the inertial terms in the Navier-Stokes equations are neglected and numerical results are stated for values of the parameters which are particularly relevant to the welding of steel.

Zusammenfassung

Es wird die Strömung eines inkompressiblen Fluids in einer Halbkugel untersucht, die durch eine Verteilung von Strömen in einem gleichförmigen Magnetfeld induziert wird; das Feld steht senkrecht zur Symmetrieachse des Behälters. Eine Reihenentwicklung wird gegeben bei der die Trägheitsterme der Navier-Stokes'schen Gleichungen vernachlässigt werden. Numerische Resultate werden gegeben für Parameter die für das Schweissen von Stahl relevant sind.

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References

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Author notes

  1. N. P. Weatherill

    Present address: The Regional Research Team, Anglian Water Authority, Clarendon Road, Cambridge, England

Authors and Affiliations

  1. Faculty of Mathematical Studies, University of Southampton, England

    R. E. Craine & N. P. Weatherill

Authors
  1. R. E. Craine
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  2. N. P. Weatherill
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Craine, R.E., Weatherill, N.P. Asymmetric fluid flow in a hemispherical container induced by electromagnetic forces. Journal of Applied Mathematics and Physics (ZAMP) 31, 514–523 (1980). https://doi.org/10.1007/BF01590862

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  • DOI: https://doi.org/10.1007/BF01590862

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