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Electromagnetically Driven Flow Between Concentric Spheres: Experiments and Simulations

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Book cover Recent Advances in Fluid Dynamics with Environmental Applications

Part of the book series: Environmental Science and Engineering ((ENVENG))

Abstract

The rotational flow continuously driven by electromagnetic forcing of an electrolytic fluid in the gap of a concentric spheres set-up is studied experimentally and theoretically. The driving Lorentz force is generated by the interaction of a dc electric current radially injected and the dipolar magnetic field produced by a permanent magnet (0.38 T). Laminar velocity profiles in the equatorial plane were obtained with particle image velocimetry. Steady-state and time-dependent flows were explored for injected currents ranging from 1 to 500 mA. A full three-dimensional numerical model that introduces the dipolar magnetic field and the radial dependency of the applied current was developed. A simple analytical solution for the azimuthal velocity was obtained. The theoretical models reproduce the main characteristic behaviour of the electromagnetically forced flow.

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Acknowledgments

A. Figueroa thanks the Cátedras program from CONACYT. F. Vázquez acknowledges financial support from PROMEP and CONACYT (México) under grant 133763. We thank the material support from S. Cuevas.

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Authors and Affiliations

  1. Centro de Investigación en Ciencias, Universidad Autónoma del Estado de Morelos, Av. Universidad No. 1001, Col. Chamilpa, 62209, Cuernavaca, Morelos, Mexico

    A. Figueroa & F. Vázquez

  2. Instituto de Investigación en Ciencias Básicas Y Aplicadas, Universidad Autónoma del Estado de Morelos, Av. Universidad No. 1001, Col. Chamilpa, 62209, Cuernavaca, Morelos, Mexico

    J. A. Rojas & J. Rosales

Authors
  1. A. Figueroa
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  2. J. A. Rojas
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  3. J. Rosales
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  4. F. Vázquez
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Corresponding author

Correspondence to A. Figueroa .

Editor information

Editors and Affiliations

  1. Instituto Nacional de Investigaciones Nucleares, Ocoyoacac, Mexico

    Jaime Klapp

  2. Departamento de Ciencias Básicas, UAM Azcapotzalco, Mexico City, Mexico

    Leonardo Di G. Sigalotti

  3. SEPI ESIME Azcapotzalco, Instituto Politécnico Nacional, Mexico City, Mexico

    Abraham Medina

  4. SEPI ESIME Azcapotzalco, Instituto Politécnico Nacional, Mexico City, Mexico

    Abel López

  5. Facultad de Ciencias, Universidad Nacional Autónoma de México, Mexico City, Mexico

    Gerardo Ruiz-Chavarría

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© 2016 Springer International Publishing Switzerland

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Figueroa, A., Rojas, J.A., Rosales, J., Vázquez, F. (2016). Electromagnetically Driven Flow Between Concentric Spheres: Experiments and Simulations. In: Klapp, J., Sigalotti, L.D.G., Medina, A., López, A., Ruiz-Chavarría, G. (eds) Recent Advances in Fluid Dynamics with Environmental Applications. Environmental Science and Engineering(). Springer, Cham. https://doi.org/10.1007/978-3-319-27965-7_19

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