Abstract
The combined effect of rotation and magnetic field is investigated for the axisymmetric flow due to the motion of a sphere in an inviscid, incompressible electrically conducting fluid having uniform rotation far upstream. The steady-state linearized equations contain a single parameter α=1/2βR m, β being the magnetic pressure number and R m the magnetic Reynolds number. The complete solution for the flow field and magnetic field is obtained and the distribution of vorticity and current density is found. The induced vorticity is O(α4) and the current density is O(R m) on the sphere.
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References
Stewartson, K., Proceedings of the Cambridge Philosophical Society 48 (1952) 168.
Sarma, L. V. K. V., Rotational Flows-Thesis, Chapter 4, Kharagpur, India, 1958.
Ludford, G. S. S. and J. D. Murray, Journal of Fluid Mechanics, 7 (1960) 516.
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Sarma, L.V.K.V., Seetharamaswamy, R. Motion of a sphere in an electrically conducting rotating fluid. Appl. Sci. Res. 25, 431–444 (1972). https://doi.org/10.1007/BF00382315
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DOI: https://doi.org/10.1007/BF00382315