Abstract
Low Reynolds number flow of a conducting fluid past a sphere is considered. The classical Stokes solution is modified by a magnetic field which, at infinity, is uniform and in the direction of flow of the fluid.The formula for the drag is found to be
$D = D_S \{ 1+\frac{3}{8}M+\frac{7}{960}M^2-\frac{43}{7680}M^3+O(M^4) \},$
Where DS is the Stokes drag and M is the Hartmann number.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference4 articles.
1. Proudman, I. & Pearson, J. R. A. 1957 J. Fluid Mech,2,237.
2. Cowling, T. G. 1957 Magnetohydrodynamics .New York:Interscience.
3. Lamb, H. 1932 Hydrodynamics ,6th Ed. Cambridge University Press.
4. Goldstein, S. 1929 Proc. Roy. Soc. A,123,225.
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