Abstract
We consider laminar flow of an electrically conducting fluid in an annulus between two infinitely long, perfectly conducting cylinders subject to an azimuthal magnetic field. The conducting fluid is driven by a pressure gradient, either constant or harmonic. The magnetohydrodynamic equations governing the flow have been solved under the inductionless approximation assuming a small annular gap compared to the inner radius. As the magnetic force increases, the flow slows down as in the Hartmann problem, notwithstanding the absence of Hartmann boundary layers.
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Acknowledgments
We thank to Paul Wiley for his comments to this manuscript. This project was supported by SIP-IPN grant 20121171.
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Ávalos-Zúñiga, R.A., Nieto-Pérez, M.J., Ramos-López, G.A. (2014). Inductionless Magnetohydrodynamic Laminar Flow in a Narrow-Gap Annular Duct. In: Klapp, J., Medina, A. (eds) Experimental and Computational Fluid Mechanics. Environmental Science and Engineering(). Springer, Cham. https://doi.org/10.1007/978-3-319-00116-6_31
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DOI: https://doi.org/10.1007/978-3-319-00116-6_31
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