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Articles

Axisymmetric MHD viscous flows bounded by a solid plane normal to a uniform ambient magnetic field: fundamental flows and application to a solid sphere translating normal to the wall

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Pages 443-468 | Received 30 Nov 2017, Accepted 24 Sep 2018, Published online: 20 Dec 2018

References

  • Branover, G. G., & Tsinober, A. B. (1970). Magnetohydrodynamic of incompressible media. Moscow: Nauka.
  • Chester, W. (1957). The effect of a magnetic field on Stokes flow in a conducting fluid. Journal of Fluid Mechanics, 3, 304–308.
  • Chester, W. (1961). The effect of a magnetic field on the flow of a conducting fluid past a body of revolution. Journal of Fluid Mechanics, 10, 459–465.
  • Gotoh, K. (1960). Stokes flow of an electrically conducting fluid in a uniform magnetic field. Journal of the Physical Society of Japan, 15(4), 696–705.
  • Hartmann, J. (1937). Theory of the laminar flow of an electrically conductive liquid in a homogeneous magnetic field. Det Kgl. Danske Videnskabernes Selskab. Mathematisk-fysiske Meddelelser, XV(6), 1–28.
  • Moreau, R. (1990). MagnetoHydrodynamics. In Fluid mechanics and its applications. Dordrecht: Kluwer Academic Publisher.
  • Pozrikidis, C. (1992). Boundary integral and singularity methods for linearized viscous flow. Cambridge: Cambridge University Press.
  • Priede, J. (2013). Fundamental solutions of MHD Stokes flow. arXiv: 1309.3886v1. Physics Fluid Dynamics.
  • Sellier, A. (2017). Fundamental MHD creeping flow bounded by a motionless plane solid wall. European Journal of Computational Mechanics, 26(4), 411–429.
  • Sellier, A., & Aydin, S. H. (2016). Fundamental free-space solutions of a steady axisymmetric MHD viscous flow. European Journal of Computational Mechanics, 25(1–2), 194–217.
  • Sellier, A., & Aydin, S. H. (2017). Creeping axisymmetric MHD flow about a sphere translating parallel with a uniform ambient magnetic field. MagnetoHydrodynamics, 53(1), 5–14.
  • Tsinober, A. B. (1970).MHD flow around bodies. In Fluid mechanics and its applications. Riga: Kluwer Academic Publisher.

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